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Source1.f90
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!
!Subroutine ELMConservative4(uuBtrack, vvBtrack, wwBtrack, bbElem, bbLayer, iLayer, iEdge, xt, yt, zt, dt, psi_flag, HydroParam, MeshParam)
!
!Use MeshVars !, Only:
!Use Hydrodynamic ! Only:
!
!Implicit none
!
!Real :: xt, yt, zt, dt
!Integer:: bbElem, bbLayer, psi_flag, iEdge, iLayer
!Real,intent(inout) :: uuBtrack, vvBtrack, wwBtrack
!Real :: uuNode(3,9), vvNode(3,9), wwNode(3,9), xxNode(3,9), yyNode(3,9), zzNode(3,9)
!Real :: uuNodeBT(9), vvNodeBT(9), wwNodeBT(9), xxNodeBT(9), yyNodeBT(9), zzNodeBT(9), hNodeBT(9)
!Real :: Yuu(3), Yvv(3), Yww(3), Xuu(3), Xvv(3), Xww(3)
!Real :: uuint, vvint, wwint
!Integer :: rElem, uElem, dElem, lElem, nElem, ElFlag
!type(MeshGridParam) :: MeshParam
!type(HydrodynamicParam) :: HydroParam
!Real :: fi_small = 0.0d0
!Real :: epsGrad = 10 !CAYO
!Real :: rj(2,4), psi(2,4), ru, soma
!Real :: Courant
!
!psi(:,:) = 0.0d0
!rj(:,:) = 0.0d0
!HydroParam%uArrow(iLayer,:,iEdge) = 0.d0
!Courant = uuNode(3)*dt/MeshParam%CirDistance(iEdge) !7 - Super-C/ 8 - Ultimate-Quickest/ 9 - Hyper-C
!
!If(IEdge==568) Then
! continue
!EndIf
!
!! For nodes positions in the vector, the Standard is this:
!!
!! .----.----.
!! | n9 |
!! | x |
!! | | |
!! | n8| |
!! .----.----.----.--x-.----.----.
!! | | | | |
!! | n2| n3 | |n4 |
!! | n1 x----x-------x-x----x n5 |
!! | | | | |
!! .----.----.----.--x-.----.----.
!! | n7| |
!! | | |
!! | x |
!! | n6 |
!! .----.----.
!
!! 1 - Neighbour Elements:
!uElem = MeshParam%Right(MeshParam%Edge(1,bbElem))
!lElem = MeshParam%Right(MeshParam%Edge(2,bbElem))
!dElem = MeshParam%Right(MeshParam%Edge(3,bbElem))
!rElem = MeshParam%Right(MeshParam%Edge(4,bbElem))
!
!! 2 - Nodes Velocities:
!! 2.1 - Velocities for node n3:
!Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), bbElem, bbLayer, HydroParam, MeshParam)
!Call iQuadraticCons(uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), Xuu(:), Xvv(:), Xww(:), Yuu(:), Yvv(:), Yww(:), xt, yt, zt)
!uuNodeBT(3) = uuBtrack; vvNodeBT(3) = vvBtrack; wwNodeBT(3) = wwBtrack; xxNodeBT(3) = xt; yyNodeBT(3) = yt; zzNodeBT(3) = zt; hNodeBT(3) = Max(HydroParam%eta(bbElem)-sum(HydroParam%DZsi(:,bbElem)),0.d0)
!
!!2.2 - Velocities for node n2:
!nElem = bbElem
!Call pointInElem(nElem, lElem, xt - MeshParam%dx/2, yt, MeshParam)
!! If nElem =/ lElem, this implies that lElem =/ 0 (condition checked in function pointInElem)
!If (nElem == lElem) Then
! If (bbLayer > HydroParam%ElSmallms(lElem)) Then
! !u(2) == u(iEdge==2,bbElem)
! nElem = bbElem
! uuNodeBT(2) = HydroParam%uxy(bbLayer,1,MeshParam%Edge(2,bbElem)); vvNodeBT(2) = HydroParam%uxy(bbLayer,2,MeshParam%Edge(2,bbElem)); wwNodeBT(2) = HydroParam%wfc(bbLayer,MeshParam%Edge(2,bbElem)); xxNodeBT(2) = xxNodeBT(3) - MeshParam%dx/2; yyNodeBT(2) = yyNodeBT(3); zzNodeBT(2) = zt; hNodeBT(2) = Max(HydroParam%H(MeshParam%Edge(2,bbElem))-sum(HydroParam%DZsj(:,MeshParam%Edge(2,bbElem))),0.d0)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt - MeshParam%dx/2, yt, zt )
! uuNodeBT(2) = uuBtrack; vvNodeBT(2) = vvBtrack; wwNodeBT(2) = wwBtrack; xxNodeBT(2) = xt - MeshParam%dx/2; yyNodeBT(2) = yt; zzNodeBT(2) = zt; hNodeBT(2) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt - MeshParam%dx/2, yt, zt )
! uuNodeBT(2) = uuBtrack; vvNodeBT(2) = vvBtrack; wwNodeBT(2) = wwBtrack; xxNodeBT(2) = xt - MeshParam%dx/2; yyNodeBT(2) = yt; zzNodeBT(2) = zt; hNodeBT(2) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!!2.3 - Velocities for node n1:
!If (nElem == lElem) Then
! lElem = MeshParam%Right(MeshParam%Edge(2,lElem))
! Call pointInElem(nElem, lElem, xt - 3*MeshParam%dx/2, yt, MeshParam)
!Else
! Call pointInElem(nElem, lElem, xt - 3*MeshParam%dx/2, yt, MeshParam)
!EndIf
!
!If (nElem == lElem) Then
! If (bbLayer > HydroParam%ElSmallms(lElem)) Then
! ! n1 == n2:
! uuNodeBT(1) = uuNodeBT(2); vvNodeBT(1) = uuNodeBT(2); wwNodeBT(1) = uuNodeBT(2); xxNodeBT(1) = xxNodeBT(2) - MeshParam%dx/2; yyNodeBT(1) = yyNodeBT(2); zzNodeBT(1) = zt; hNodeBT(1) = hNodeBT(2)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt - 3*MeshParam%dx/2, yt, zt )
! uuNodeBT(1) = uuBtrack; vvNodeBT(1) = vvBtrack; wwNodeBT(1) = wwBtrack; xxNodeBT(1) = xt - 3*MeshParam%dx/2; yyNodeBT(1) = yt; zzNodeBT(1) = zt; hNodeBT(1) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt - 3*MeshParam%dx/2, yt, zt )
! uuNodeBT(1) = uuBtrack; vvNodeBT(1) = vvBtrack; wwNodeBT(1) = wwBtrack; xxNodeBT(1) = xt - 3*MeshParam%dx/2; yyNodeBT(1) = yt; zzNodeBT(1) = zt; hNodeBT(1) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!!2.4 - Velocities for node n4:
!nElem = bbElem
!Call pointInElem(nElem, rElem, xt + MeshParam%dx/2, yt, MeshParam)
!! If nElem == rElem, this implies that lElem =/ 0 (condition checked in function pointInElem)
!If (nElem == rElem) Then
! If (bbLayer > HydroParam%ElSmallms(rElem)) Then
! !u(4) == u(iEdge==4,bbElem)
! nElem = bbElem
! uuNodeBT(4) = HydroParam%uxy(bbLayer,1,MeshParam%Edge(4,bbElem)); vvNodeBT(4) = HydroParam%uxy(bbLayer,2,MeshParam%Edge(4,bbElem)); wwNodeBT(4) = HydroParam%wfc(bbLayer,MeshParam%Edge(4,bbElem)); xxNodeBT(4) = xxNodeBT(3) + MeshParam%dx/2; yyNodeBT(4) = yyNodeBT(3); zzNodeBT(4) = zt; hNodeBT(4) = Max(HydroParam%H(MeshParam%Edge(4,bbElem))-sum(HydroParam%DZsj(:,MeshParam%Edge(4,bbElem))),0.d0)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt + MeshParam%dx/2, yt, zt )
! uuNodeBT(4) = uuBtrack; vvNodeBT(4) = vvBtrack; wwNodeBT(4) = wwBtrack; xxNodeBT(4) = xt + MeshParam%dx/2; yyNodeBT(4) = yt; zzNodeBT(4) = zt; hNodeBT(4) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt + MeshParam%dx/2, yt, zt )
! uuNodeBT(4) = uuBtrack; vvNodeBT(4) = vvBtrack; wwNodeBT(4) = wwBtrack; xxNodeBT(4) = xt + MeshParam%dx/2; yyNodeBT(4) = yt; zzNodeBT(4) = zt; hNodeBT(4) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!!Energy conservation x - direction:
!If ((uuNode(3) - uuNode(1))/MeshParam%CirDistance(iEdge) > epsGrad > 0) Then
! If (uuNode(3) + uuNode(1) >= 0) Then
! HydroParam%uArrow(iLayer,1,iEdge) = 0.5*(uuNode(3) + uuNode(1))
!
! rj(1,1) = ru(uuNode(3),uuNode(2),uuNode(1),xxNode(3),xxNode(2),xxNode(1),yyNode(3),yyNode(2),yyNode(1))
! Call Psi_value(psi_flag,rj(1,1),Courant,fi_small,psi(1,1))
!
! rj(1,2) = ru(uuNode(4),uuNode(3),uuNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(1,2),Courant,fi_small,psi(1,2))
!
! rj(2,1) = ru(vvNode(3),vvNode(2),vvNode(1),xxNode(3),xxNode(2),xxNode(1),yyNode(3),yyNode(2),yyNode(1))
! Call Psi_value(psi_flag,rj(2,1),Courant,fi_small,psi(2,1))
!
! rj(2,2) = ru(vvNode(4),vvNode(3),vvNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(2,2),Courant,fi_small,psi(2,2))
! Else
!
! !2.5 - Velocities for node n5:
! If (nElem == rElem) Then
! rElem = MeshParam%Right(MeshParam%Edge(2,rElem))
! Call pointInElem(nElem, lElem, xt + 3*MeshParam%dx/2, yt, MeshParam)
! Else
! Call pointInElem(nElem, lElem, xt + 3*MeshParam%dx/2, yt, MeshParam)
! EndIf
!
! ! If nElem == rElem, this implies that lElem =/ 0 (condition checked in function pointInElem)
! If (nElem == rElem) Then
! If (bbLayer > HydroParam%ElSmallms(rElem)) Then
! ! n5 == n4:
! uuNodeBT(5) = uuNodeBT(4); vvNodeBT(5) = uuNodeBT(4); wwNodeBT(5) = uuNodeBT(4); xxNodeBT(5) = xxNodeBT(4) + MeshParam%dx/2; yyNodeBT(5) = yyNodeBT(4); zzNodeBT(5) = zt; hNodeBT(5) = hNodeBT(4)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt + 3*MeshParam%dx/2, yt, zt )
! uuNodeBT(5) = uuBtrack; vvNodeBT(5) = vvBtrack; wwNodeBT(5) = wwBtrack; xxNodeBT(5) = xt + 3*MeshParam%dx/2; yyNodeBT(5) = yt; zzNodeBT(5) = zt; hNodeBT(5) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt + 3*MeshParam%dx/2, yt, zt )
! uuNodeBT(5) = uuBtrack; vvNodeBT(5) = vvBtrack; wwNodeBT(5) = wwBtrack; xxNodeBT(5) = xt + 3*MeshParam%dx/2; yyNodeBT(5) = yt; zzNodeBT(5) = zt; hNodeBT(5) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!
! HydroParam%uArrow(iLayer,1,iEdge) = 0.5*(uuNode(3) + uuNode(5))
!
! rj(1,1) = ru(uuNode(4),uuNode(3),uuNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(1,1),Courant,fi_small,psi(1,1))
!
! rj(1,2) = ru(uuNode(5),uuNode(4),uuNode(3),xxNode(5),xxNode(4),xxNode(3),yyNode(5),yyNode(4),yyNode(3))
! Call Psi_value(psi_flag,rj(1,2),Courant,fi_small,psi(1,2))
!
! rj(2,1) = ru(vvNode(4),vvNode(3),vvNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(2,1),Courant,fi_small,psi(2,1))
!
! rj(2,2) = ru(vvNode(5),vvNode(4),vvNode(3),xxNode(5),xxNode(4),xxNode(3),yyNode(5),yyNode(4),yyNode(3))
! Call Psi_value(psi_flag,rj(2,2),Courant,fi_small,psi(2,2))
! EndIf
!Else
! ! Momentum Conservation x - direction:
! If (uuNode(3)*dzNode(3) + uuNode(1)*dzNode(1) >= 0 ) Then
! !HydroParam%uArrow(iLayer,1,iEdge) = (uuNode(3)*dzNode(3) + uuNode(2)*dzNode(2))/(dzNode(4) + dzNode(2))
! HydroParam%uArrow(iLayer,1,iEdge) = (uuNode(3)*dzNode(3) + uuNode(1)*dzNode(1))/(dzNode(4) + dzNode(2))
!
! rj(1,1) = ru(uuNode(3),uuNode(2),uuNode(1),xxNode(3),xxNode(2),xxNode(1),yyNode(3),yyNode(2),yyNode(1))
! Call Psi_value(psi_flag,rj(1,1),Courant,fi_small,psi(1,1))
!
! rj(1,2) = ru(uuNode(4),uuNode(3),uuNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(1,2),Courant,fi_small,psi(1,2))
!
! rj(2,1) = ru(vvNode(3),vvNode(2),vvNode(1),xxNode(3),xxNode(2),xxNode(1),yyNode(3),yyNode(2),yyNode(1))
! Call Psi_value(psi_flag,rj(2,1),Courant,fi_small,psi(2,1))
!
! rj(2,2) = ru(vvNode(4),vvNode(3),vvNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(2,2),Courant,fi_small,psi(2,2))
! Else
! !2.5 - Velocities for node n5:
! If (nElem == rElem) Then
! rElem = MeshParam%Right(MeshParam%Edge(2,rElem))
! Call pointInElem(nElem, lElem, xt + 3*MeshParam%dx/2, yt, MeshParam)
! Else
! Call pointInElem(nElem, lElem, xt + 3*MeshParam%dx/2, yt, MeshParam)
! EndIf
!
! ! If nElem == rElem, this implies that lElem =/ 0 (condition checked in function pointInElem)
! If (nElem == rElem) Then
! If (bbLayer > HydroParam%ElSmallms(rElem)) Then
! ! n5 == n4:
! uuNodeBT(5) = uuNodeBT(4); vvNodeBT(5) = uuNodeBT(4); wwNodeBT(5) = uuNodeBT(4); xxNodeBT(5) = xxNodeBT(4) + MeshParam%dx/2; yyNodeBT(5) = yyNodeBT(4); zzNodeBT(5) = zt; hNodeBT(5) = hNodeBT(4)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt + 3*MeshParam%dx/2, yt, zt )
! uuNodeBT(5) = uuBtrack; vvNodeBT(5) = vvBtrack; wwNodeBT(5) = wwBtrack; xxNodeBT(5) = xt + 3*MeshParam%dx/2; yyNodeBT(5) = yt; zzNodeBT(5) = zt; hNodeBT(5) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt + 3*MeshParam%dx/2, yt, zt )
! uuNodeBT(5) = uuBtrack; vvNodeBT(5) = vvBtrack; wwNodeBT(5) = wwBtrack; xxNodeBT(5) = xt + 3*MeshParam%dx/2; yyNodeBT(5) = yt; zzNodeBT(5) = zt; hNodeBT(5) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!
! !HydroParam%uArrow(iLayer,1,iEdge) = (uuNode(4)*dzNode(4) + uuNode(3)*dzNode(3))/(dzNode(4) + dzNode(2))
! HydroParam%uArrow(iLayer,1,iEdge) = (uuNode(3)*dzNode(3) + uuNode(5)*dzNode(5))/(dzNode(4) + dzNode(2))
!
! rj(1,1) = ru(uuNode(4),uuNode(3),uuNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(1,1),Courant,fi_small,psi(1,1))
!
! rj(1,2) = ru(uuNode(5),uuNode(4),uuNode(3),xxNode(5),xxNode(4),xxNode(3),yyNode(5),yyNode(4),yyNode(3))
! Call Psi_value(psi_flag,rj(1,2),Courant,fi_small,psi(1,2))
!
! rj(2,1) = ru(vvNode(4),vvNode(3),vvNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(2,1),Courant,fi_small,psi(2,1))
!
! rj(2,2) = ru(vvNode(5),vvNode(4),vvNode(3),xxNode(5),xxNode(4),xxNode(3),yyNode(5),yyNode(4),yyNode(3))
! Call Psi_value(psi_flag,rj(2,2),Courant,fi_small,psi(2,2))
! EndIf
!
!EndIf
!
!
!! 2.6 - Velocities for node n7:
!nElem = bbElem
!Call pointInElem(nElem, dElem, xt, yt - MeshParam%dy/2, MeshParam)
!
!If (nElem == dElem) Then
! If (bbLayer > HydroParam%ElSmallms(dElem)) Then
! !u(7) == u(iEdge == 3, bbElem)
! nElem = bbElem
! uuNodeBT(7) = HydroParam%uxy(bbLayer,1,MeshParam%Edge(3,bbElem)); vvNodeBT(7) = HydroParam%uxy(bbLayer,2,MeshParam%Edge(3,bbElem)); wwNodeBT(7) = HydroParam%wfc(bbLayer,MeshParam%Edge(3,bbElem)); xxNodeBT(7) = xxNodeBT(3); yyNodeBT(7) = yyNodeBT(3) - MeshParam%dy/2; zzNodeBT(7) = zt; hNodeBT(7) = Max(HydroParam%H(MeshParam%Edge(3,bbElem))-sum(HydroParam%DZsj(:,MeshParam%Edge(3,bbElem))),0.d0)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt - MeshParam%dy/2, zt )
! uuNodeBT(7) = uuBtrack; vvNodeBT(7) = vvBtrack; wwNodeBT(7) = wwBtrack; xxNodeBT(7) = xt; yyNodeBT(7) = yt - MeshParam%dy/2; zzNodeBT(7) = zt; hNodeBT(7) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt - MeshParam%dy/2, zt )
! uuNodeBT(7) = uuBtrack; vvNodeBT(7) = vvBtrack; wwNodeBT(7) = wwBtrack; xxNodeBT(7) = xt; yyNodeBT(7) = yt - MeshParam%dy/2; zzNodeBT(7) = zt; hNodeBT(7) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!!2.7 - Velocities for node n6:
!If (nElem == dElem) Then
! dElem = MeshParam%Right(MeshParam%Edge(3,dElem))
! Call pointInElem(nElem, dElem, xt, yt - 3*MeshParam%dy/2, MeshParam)
!Else
! Call pointInElem(nElem, dElem, xt, yt - 3*MeshParam%dy/2, MeshParam)
!EndIf
!
!! If nElem == dElem, this implies that dElem =/ 0 (condition checked in function pointInElem)
!If (nElem == dElem) Then
! If (bbLayer > HydroParam%ElSmallms(dElem)) Then
! ! n6 == n7:
! uuNodeBT(6) = uuNodeBT(7); vvNodeBT(6) = vvNodeBT(7); wwNodeBT(6) = wwNodeBT(7); xxNodeBT(6) = xxNodeBT(7); yyNodeBT(6) = yyNodeBT(7) - MeshParam%dy/2; zzNodeBT(6) = zt; hNodeBT(6) = hNodeBT(7)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt - 3*MeshParam%dy/2, zt )
! uuNodeBT(6) = uuBtrack; vvNodeBT(6) = vvBtrack; wwNodeBT(6) = wwBtrack; xxNodeBT(6) = xt; yyNodeBT(6) = yt - 3*MeshParam%dy/2; zzNodeBT(6) = zt; hNodeBT(6) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt - 3*MeshParam%dy/2, zt )
! uuNodeBT(6) = uuBtrack; vvNodeBT(6) = vvBtrack; wwNodeBT(6) = wwBtrack; xxNodeBT(6) = xt; yyNodeBT(6) = yt - 3*MeshParam%dy/2; zzNodeBT(6) = zt; hNodeBT(6) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!! 2.8 - Velocities for node n8:
!nElem = bbElem
!Call pointInElem(nElem, uElem, xt, yt + MeshParam%dy/2, MeshParam)
!! If nElem == uElem, this implies that uElem =/ 0 (condition checked in function pointInElem)
!If (nElem == uElem) Then
! If (bbLayer > HydroParam%ElSmallms(uElem)) Then
! !u(8) == u(iEdge == 1, bbElem)
! nElem = bbElem
! uuNodeBT(8) = HydroParam%uxy(bbLayer,1,MeshParam%Edge(1,bbElem)); vvNodeBT(8) = HydroParam%uxy(bbLayer,2,MeshParam%Edge(1,bbElem)); wwNodeBT(8) = HydroParam%wfc(bbLayer,MeshParam%Edge(1,bbElem)); xxNodeBT(8) = xxNodeBT(3); yyNodeBT(8) = yyNodeBT(3) + MeshParam%dy/2; zzNodeBT(8) = zt; hNodeBT(8) = Max(HydroParam%H(MeshParam%Edge(1,bbElem))-sum(HydroParam%DZsj(:,MeshParam%Edge(1,bbElem))),0.d0)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt + MeshParam%dy/2, zt )
! uuNodeBT(8) = uuBtrack; vvNodeBT(8) = vvBtrack; wwNodeBT(8) = wwBtrack; xxNodeBT(8) = xt; yyNodeBT(8) = yt + MeshParam%dy/2; zzNodeBT(8) = zt; hNodeBT(8) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt + MeshParam%dy/2, zt )
! uuNodeBT(8) = uuBtrack; vvNodeBT(8) = vvBtrack; wwNodeBT(8) = wwBtrack; xxNodeBT(8) = xt; yyNodeBT(8) = yt + MeshParam%dy/2; zzNodeBT(8) = zt; hNodeBT(8) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!!Energy conservation y-direction:
!If ((vvNode(3) - vvNode(6))/MeshParam%CirDistance(iEdge) > epsGrad > 0) Then
!
! If (vvNode(3) + vvNode(6) >= 0) Then
! HydroParam%uArrow(iLayer,2,iEdge) = 0.5*(vvNode(3) + vvNode(6))
!
! rj(1,3) = ru(uuNode(3),uuNode(7),uuNode(6),xxNode(3),xxNode(7),xxNode(6),yyNode(3),yyNode(7),yyNode(6))
! Call Psi_value(psi_flag,rj(1,3),Courant,fi_small,psi(1,3))
!
! rj(1,4) = ru(uuNode(8),uuNode(3),uuNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(1,4),Courant,fi_small,psi(1,4))
!
! rj(2,3) = ru(vvNode(3),vvNode(7),vvNode(6),xxNode(3),xxNode(7),xxNode(6),yyNode(3),yyNode(7),yyNode(6))
! Call Psi_value(psi_flag,rj(2,3),Courant,fi_small,psi(2,3))
!
! rj(2,4) = ru(vvNode(8),vvNode(3),vvNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(2,4),Courant,fi_small,psi(2,4))
! Else
!
! !2.9 - Velocities for node n9:
! If (nElem == uElem) Then
! uElem = MeshParam%Right(MeshParam%Edge(1,uElem))
! Call pointInElem(nElem, uElem, xt, yt + 3*MeshParam%dy/2, MeshParam)
! Else
! Call pointInElem(nElem, uElem, xt, yt + 3*MeshParam%dy/2, MeshParam)
! EndIf
!
! ! If nElem == uElem, this implies that uElem =/ 0 (condition checked in function pointInElem)
! If (nElem == uElem) Then
! If (bbLayer > HydroParam%ElSmallms(uElem)) Then
! ! n9 == n8:
! uuNodeBT(9) = uuNodeBT(8); vvNodeBT(9) = vvNodeBT(8); wwNodeBT(9) = wwNodeBT(8); xxNodeBT(9) = xxNodeBT(8); yyNodeBT(9) = yyNodeBT(8) + MeshParam%dy/2; zzNodeBT(9) = zt; hNodeBT(9) = hNodeBT(8)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt + 3*MeshParam%dy/2, zt )
! uuNodeBT(9) = uuBtrack; vvNodeBT(9) = vvBtrack; wwNodeBT(9) = wwBtrack; xxNodeBT(9) = xt; yyNodeBT(9) = yt + 3*MeshParam%dy/2; zzNodeBT(9) = zt; hNodeBT(9) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt + 3*MeshParam%dy/2, zt )
! uuNodeBT(9) = uuBtrack; vvNodeBT(9) = vvBtrack; wwNodeBT(9) = wwBtrack; xxNodeBT(9) = xt; yyNodeBT(9) = yt + 3*MeshParam%dy/2; zzNodeBT(9) = zt; hNodeBT(9) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!
! HydroParam%uArrow(iLayer,2,iEdge) = 0.5*(vvNode(3) + vvNode(9))
!
! rj(1,3) = ru(uuNode(8),uuNode(3),uuNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(1,3),Courant,fi_small,psi(1,3))
!
! rj(1,4) = ru(uuNode(9),uuNode(8),uuNode(3),xxNode(9),xxNode(8),xxNode(3),yyNode(9),yyNode(8),yyNode(3))
! Call Psi_value(psi_flag,rj(1,4),Courant,fi_small,psi(1,4))
!
! rj(2,3) = ru(vvNode(8),vvNode(3),vvNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(2,3),Courant,fi_small,psi(2,3))
!
! rj(2,4) = ru(vvNode(9),vvNode(8),vvNode(3),xxNode(9),xxNode(8),xxNode(3),yyNode(9),yyNode(8),yyNode(3))
! Call Psi_value(psi_flag,rj(2,4),Courant,fi_small,psi(2,4))
! EndIf
!Else
! ! Momentum Conservation y - direction:
! If (vvNode(3)*dzNode(3) + vvNode(6)*dzNode(6)>= 0) Then
! !HydroParam%uArrow(iLayer,2,iEdge) = (vvNode(3)*dzNode(3) + vvNode(7)*dzNode(7))/(dzNode(8) + dzNode(7))
! HydroParam%uArrow(iLayer,2,iEdge) = (vvNode(3)*dzNode(3) + vvNode(6)*dzNode(6))/(dzNode(8) + dzNode(7))
!
! rj(1,3) = ru(uuNode(3),uuNode(7),uuNode(6),xxNode(3),xxNode(7),xxNode(6),yyNode(3),yyNode(7),yyNode(6))
! Call Psi_value(psi_flag,rj(1,3),Courant,fi_small,psi(1,3))
!
! rj(1,4) = ru(uuNode(8),uuNode(3),uuNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(1,4),Courant,fi_small,psi(1,4))
!
! rj(2,3) = ru(vvNode(3),vvNode(7),vvNode(6),xxNode(3),xxNode(7),xxNode(6),yyNode(3),yyNode(7),yyNode(6))
! Call Psi_value(psi_flag,rj(2,3),Courant,fi_small,psi(2,3))
!
! rj(2,4) = ru(vvNode(8),vvNode(3),vvNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(2,4),Courant,fi_small,psi(2,4))
! Else
! !2.9 - Velocities for node n9:
! If (nElem == uElem) Then
! uElem = MeshParam%Right(MeshParam%Edge(1,uElem))
! Call pointInElem(nElem, uElem, xt, yt + 3*MeshParam%dy/2, MeshParam)
! Else
! Call pointInElem(nElem, uElem, xt, yt + 3*MeshParam%dy/2, MeshParam)
! EndIf
!
! ! If nElem == uElem, this implies that uElem =/ 0 (condition checked in function pointInElem)
! If (nElem == uElem) Then
! If (bbLayer > HydroParam%ElSmallms(uElem)) Then
! ! n9 == n8:
! uuNodeBT(9) = uuNodeBT(8); vvNodeBT(9) = vvNodeBT(8); wwNodeBT(9) = wwNodeBT(8); xxNodeBT(9) = xxNodeBT(8); yyNodeBT(9) = yyNodeBT(8) + MeshParam%dy/2; zzNodeBT(9) = zt; hNodeBT(9) = hNodeBT(8)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt + 3*MeshParam%dy/2, zt )
! uuNodeBT(9) = uuBtrack; vvNodeBT(9) = vvBtrack; wwNodeBT(9) = wwBtrack; xxNodeBT(9) = xt; yyNodeBT(9) = yt + 3*MeshParam%dy/2; zzNodeBT(9) = zt; hNodeBT(9) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt + 3*MeshParam%dy/2, zt )
! uuNodeBT(9) = uuBtrack; vvNodeBT(9) = vvBtrack; wwNodeBT(9) = wwBtrack; xxNodeBT(9) = xt; yyNodeBT(9) = yt + 3*MeshParam%dy/2; zzNodeBT(9) = zt; hNodeBT(9) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!
! !HydroParam%uArrow(iLayer,2,iEdge) = (vvNode(7)*dzNode(7) + vvNode(3)*dzNode(3))/(dzNode(8) + dzNode(7))
! HydroParam%uArrow(iLayer,2,iEdge) = (vvNode(3)*dzNode(3) + vvNode(9)*dzNode(9))/(dzNode(8) + dzNode(7))
!
! rj(1,3) = ru(uuNode(8),uuNode(3),uuNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(1,3),Courant,fi_small,psi(1,3))
!
! rj(1,4) = ru(uuNode(9),uuNode(8),uuNode(3),xxNode(9),xxNode(8),xxNode(3),yyNode(9),yyNode(8),yyNode(3))
! Call Psi_value(psi_flag,rj(1,4),Courant,fi_small,psi(1,4))
!
! rj(2,3) = ru(vvNode(8),vvNode(3),vvNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(2,3),Courant,fi_small,psi(2,3))
!
! rj(2,4) = ru(vvNode(9),vvNode(8),vvNode(3),xxNode(9),xxNode(8),xxNode(3),yyNode(9),yyNode(8),yyNode(3))
! Call Psi_value(psi_flag,rj(2,4),Courant,fi_small,psi(2,4))
! EndIf
!EndIf
!
!uuint = HydroParam%uArrow(iLayer,1,iEdge)
!vvint = HydroParam%uArrow(iLayer,2,iEdge)
!wwint = wwNodeBT(3)
!
!return
!End Subroutine ELMConservative4
!
!Subroutine ELMConservative3(uuBtrack, vvBtrack, wwBtrack, bbElem, bbLayer, iLayer, iEdge, xt, yt, zt, dt, psi_flag, HydroParam, MeshParam)
!
!Use MeshVars !, Only:
!Use Hydrodynamic ! Only:
!
!Implicit none
!
!Real :: xt, yt, zt, dt
!Integer:: bbElem, bbLayer, psi_flag, iEdge, iLayer
!Real,intent(inout) :: uuBtrack, vvBtrack, wwBtrack
!Real :: uuNode(3,9), vvNode(3,9), wwNode(3,9), xxNode(3,9), yyNode(3,9), zzNode(3,9)
!Real :: uuNodeBT(9), vvNodeBT(9), wwNodeBT(9), xxNodeBT(9), yyNodeBT(9), zzNodeBT(9), hNodeBT(9)
!Real :: Yuu(3), Yvv(3), Yww(3), Xuu(3), Xvv(3), Xww(3)
!Real :: uuint, vvint, wwint
!Integer :: rElem, uElem, dElem, lElem, nElem, ElFlag
!type(MeshGridParam) :: MeshParam
!type(HydrodynamicParam) :: HydroParam
!
!If(IEdge==568) Then
! continue
!EndIf
!
!! For nodes positions in the vector, the Standard is this:
!!
!! .----.----.
!! | n9 |
!! | x |
!! | | |
!! | n8| |
!! .----.----.----.--x-.----.----.
!! | | | | |
!! | n2| n3 | |n4 |
!! | n1 x----x-------x-x----x n5 |
!! | | | | |
!! .----.----.----.--x-.----.----.
!! | n7| |
!! | | |
!! | x |
!! | n6 |
!! .----.----.
!
!! 1 - Neighbour Elements:
!uElem = MeshParam%Right(MeshParam%Edge(1,bbElem))
!lElem = MeshParam%Right(MeshParam%Edge(2,bbElem))
!dElem = MeshParam%Right(MeshParam%Edge(3,bbElem))
!rElem = MeshParam%Right(MeshParam%Edge(4,bbElem))
!
!! 2 - Nodes Velocities:
!! 2.1 - Velocities for node n3:
!Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), bbElem, bbLayer, HydroParam, MeshParam)
!Call iQuadraticCons(uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), Xuu(:), Xvv(:), Xww(:), Yuu(:), Yvv(:), Yww(:), xt, yt, zt)
!uuNodeBT(3) = uuBtrack; vvNodeBT(3) = vvBtrack; wwNodeBT(3) = wwBtrack; xxNodeBT(3) = xt; yyNodeBT(3) = yt; zzNodeBT(3) = zt; hNodeBT(3) = Max(HydroParam%eta(bbElem)-sum(HydroParam%DZsi(:,bbElem)),0.d0)
!
!!2.2 - Velocities for node n2:
!nElem = bbElem
!Call pointInElem(nElem, lElem, xt - MeshParam%dx/2, yt, MeshParam)
!! If nElem =/ lElem, this implies that lElem =/ 0 (condition checked in function pointInElem)
!If (nElem == lElem) Then
! If (bbLayer > HydroParam%ElSmallms(lElem)) Then
! nElem = bbElem
! uuNodeBT(2) = HydroParam%uxyback(bbLayer,1,MeshParam%Edge(2,bbElem)); vvNodeBT(2) = HydroParam%uxyback(bbLayer,2,MeshParam%Edge(2,bbElem)); wwNodeBT(2) = HydroParam%wfc(bbLayer,MeshParam%Edge(2,bbElem)); xxNodeBT(2) = xxNodeBT(3); yyNodeBT(2) = yyNodeBT(3); zzNodeBT(2) = zt; hNodeBT(2) = hNodeBT(3)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt - MeshParam%dx/2, yt, zt )
! uuNodeBT(2) = uuBtrack; vvNodeBT(2) = vvBtrack; wwNodeBT(2) = wwBtrack; xxNodeBT(2) = xt - MeshParam%dx/2; yyNodeBT(2) = yt; zzNodeBT(2) = zt; hNodeBT(2) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt - MeshParam%dx/2, yt, zt )
! uuNodeBT(2) = uuBtrack; vvNodeBT(2) = vvBtrack; wwNodeBT(2) = wwBtrack; xxNodeBT(2) = xt - MeshParam%dx/2; yyNodeBT(2) = yt; zzNodeBT(2) = zt; hNodeBT(2) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!!2.3 - Velocities for node n1:
!If (nElem == lElem) Then
! lElem = MeshParam%Right(MeshParam%Edge(2,lElem))
! Call pointInElem(nElem, lElem, xt - 3*MeshParam%dx/2, yt, MeshParam)
!Else
! Call pointInElem(nElem, lElem, xt - 3*MeshParam%dx/2, yt, MeshParam)
!EndIf
!
!If (nElem == lElem) Then
! If (bbLayer > HydroParam%ElSmallms(lElem)) Then
! ! n1 == n2:
! uuNodeBT(1) = uuNodeBT(2); vvNodeBT(1) = uuNodeBT(2); wwNodeBT(1) = uuNodeBT(2); xxNodeBT(1) = xxNodeBT(2); yyNodeBT(1) = yyNodeBT(2); zzNodeBT(1) = zt; hNodeBT(1) = hNodeBT(2)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt - 3*MeshParam%dx/2, yt, zt )
! uuNodeBT(1) = uuBtrack; vvNodeBT(1) = vvBtrack; wwNodeBT(1) = wwBtrack; xxNodeBT(1) = xt - 3*MeshParam%dx/2; yyNodeBT(1) = yt; zzNodeBT(1) = zt; hNodeBT(1) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt - 3*MeshParam%dx/2, yt, zt )
! uuNodeBT(1) = uuBtrack; vvNodeBT(1) = vvBtrack; wwNodeBT(1) = wwBtrack; xxNodeBT(1) = xt - 3*MeshParam%dx/2; yyNodeBT(1) = yt; zzNodeBT(1) = zt; hNodeBT(1) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!!2.4 - Velocities for node n4:
!nElem = bbElem
!Call pointInElem(nElem, rElem, xt + MeshParam%dx/2, yt, MeshParam)
!! If nElem == rElem, this implies that lElem =/ 0 (condition checked in function pointInElem)
!If (nElem == rElem) Then
! If (bbLayer > HydroParam%ElSmallms(rElem)) Then
! !n4 == n3:
! !u(3) == u(iEdge==4,bbElem)
! nElem = bbElem
! uuNodeBT(4) = HydroParam%uxyback(bbLayer,1,MeshParam%Edge(4,bbElem)); vvNodeBT(4) = HydroParam%uxyback(bbLayer,2,MeshParam%Edge(4,bbElem)); wwNodeBT(4) = HydroParam%wfc(bbLayer,MeshParam%Edge(4,bbElem)); xxNodeBT(4) = xxNodeBT(3); yyNodeBT(4) = yyNodeBT(3); zzNodeBT(4) = zt; hNodeBT(4) = hNodeBT(3)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt + MeshParam%dx/2, yt, zt )
! uuNodeBT(4) = uuBtrack; vvNodeBT(4) = vvBtrack; wwNodeBT(4) = wwBtrack; xxNodeBT(4) = xt + MeshParam%dx/2; yyNodeBT(4) = yt; zzNodeBT(4) = zt; hNodeBT(4) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt + MeshParam%dx/2, yt, zt )
! uuNodeBT(4) = uuBtrack; vvNodeBT(4) = vvBtrack; wwNodeBT(4) = wwBtrack; xxNodeBT(4) = xt + MeshParam%dx/2; yyNodeBT(4) = yt; zzNodeBT(4) = zt; hNodeBT(4) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!!2.5 - Velocities for node n5:
!If (nElem == rElem) Then
! rElem = MeshParam%Right(MeshParam%Edge(2,rElem))
! Call pointInElem(nElem, lElem, xt + 3*MeshParam%dx/2, yt, MeshParam)
!Else
! Call pointInElem(nElem, lElem, xt + 3*MeshParam%dx/2, yt, MeshParam)
!EndIf
!
!! If nElem == rElem, this implies that lElem =/ 0 (condition checked in function pointInElem)
!If (nElem == rElem) Then
! If (bbLayer > HydroParam%ElSmallms(rElem)) Then
! ! n5 == n4:
! uuNodeBT(5) = uuNodeBT(4); vvNodeBT(5) = uuNodeBT(4); wwNodeBT(5) = uuNodeBT(4); xxNodeBT(5) = xxNodeBT(4); yyNodeBT(5) = yyNodeBT(4); zzNodeBT(5) = zt; hNodeBT(5) = hNodeBT(4)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt + 3*MeshParam%dx/2, yt, zt )
! uuNodeBT(5) = uuBtrack; vvNodeBT(5) = vvBtrack; wwNodeBT(5) = wwBtrack; xxNodeBT(5) = xt + 3*MeshParam%dx/2; yyNodeBT(5) = yt; zzNodeBT(5) = zt; hNodeBT(5) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt + 3*MeshParam%dx/2, yt, zt )
! uuNodeBT(5) = uuBtrack; vvNodeBT(5) = vvBtrack; wwNodeBT(5) = wwBtrack; xxNodeBT(5) = xt + 3*MeshParam%dx/2; yyNodeBT(5) = yt; zzNodeBT(5) = zt; hNodeBT(5) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!! 2.6 - Velocities for node n7:
!nElem = bbElem
!Call pointInElem(nElem, dElem, xt, yt - MeshParam%dy/2, MeshParam)
!
!If (nElem == dElem) Then
! If (bbLayer > HydroParam%ElSmallms(dElem)) Then
! !n7 == n3:
! !u(7) == u(iEdge == 3, bbElem)
! nElem = bbElem
! uuNodeBT(7) = HydroParam%uxyback(bbLayer,1,MeshParam%Edge(3,bbElem)); vvNodeBT(7) = HydroParam%uxyback(bbLayer,2,MeshParam%Edge(3,bbElem)); wwNodeBT(7) = HydroParam%wfc(bbLayer,MeshParam%Edge(3,bbElem)); xxNodeBT(7) = xxNodeBT(3); yyNodeBT(7) = yyNodeBT(3); zzNodeBT(7) = zt; hNodeBT(7) = hNodeBT(3)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt - MeshParam%dy/2, zt )
! uuNodeBT(7) = uuBtrack; vvNodeBT(7) = vvBtrack; wwNodeBT(7) = wwBtrack; xxNodeBT(7) = xt; yyNodeBT(7) = yt - MeshParam%dy/2; zzNodeBT(7) = zt; hNodeBT(7) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt - MeshParam%dy/2, zt )
! uuNodeBT(7) = uuBtrack; vvNodeBT(7) = vvBtrack; wwNodeBT(7) = wwBtrack; xxNodeBT(7) = xt; yyNodeBT(7) = yt - MeshParam%dy/2; zzNodeBT(7) = zt; hNodeBT(7) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!!2.7 - Velocities for node n6:
!If (nElem == dElem) Then
! dElem = MeshParam%Right(MeshParam%Edge(3,dElem))
! Call pointInElem(nElem, dElem, xt, yt - 3*MeshParam%dy/2, MeshParam)
!Else
! Call pointInElem(nElem, dElem, xt, yt - 3*MeshParam%dy/2, MeshParam)
!EndIf
!
!! If nElem == dElem, this implies that dElem =/ 0 (condition checked in function pointInElem)
!If (nElem == dElem) Then
! If (bbLayer > HydroParam%ElSmallms(dElem)) Then
! ! n6 == n7:
! uuNodeBT(6) = uuNodeBT(7); vvNodeBT(6) = vvNodeBT(7); wwNodeBT(6) = wwNodeBT(7); xxNodeBT(6) = xxNodeBT(7); yyNodeBT(6) = yyNodeBT(7); zzNodeBT(6) = zt; hNodeBT(6) = hNodeBT(7)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt - 3*MeshParam%dy/2, zt )
! uuNodeBT(6) = uuBtrack; vvNodeBT(6) = vvBtrack; wwNodeBT(6) = wwBtrack; xxNodeBT(6) = xt; yyNodeBT(6) = yt - 3*MeshParam%dy/2; zzNodeBT(6) = zt; hNodeBT(6) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt - 3*MeshParam%dy/2, zt )
! uuNodeBT(6) = uuBtrack; vvNodeBT(6) = vvBtrack; wwNodeBT(6) = wwBtrack; xxNodeBT(6) = xt; yyNodeBT(6) = yt - 3*MeshParam%dy/2; zzNodeBT(6) = zt; hNodeBT(6) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!! 2.8 - Velocities for node n8:
!nElem = bbElem
!Call pointInElem(nElem, uElem, xt, yt + MeshParam%dy/2, MeshParam)
!! If nElem == uElem, this implies that uElem =/ 0 (condition checked in function pointInElem)
!If (nElem == uElem) Then
! If (bbLayer > HydroParam%ElSmallms(uElem)) Then
! !n7 == n3:
! !u(8) == u(iEdge == 1, bbElem)
! nElem = bbElem
! uuNodeBT(8) = HydroParam%uxyback(bbLayer,1,MeshParam%Edge(1,bbElem)); vvNodeBT(8) = HydroParam%uxyback(bbLayer,2,MeshParam%Edge(1,bbElem)); wwNodeBT(8) = HydroParam%wfc(bbLayer,MeshParam%Edge(1,bbElem)); xxNodeBT(8) = xxNodeBT(3); yyNodeBT(8) = yyNodeBT(3); zzNodeBT(8) = zt; hNodeBT(8) = hNodeBT(3)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt + MeshParam%dy/2, zt )
! uuNodeBT(8) = uuBtrack; vvNodeBT(8) = vvBtrack; wwNodeBT(8) = wwBtrack; xxNodeBT(8) = xt; yyNodeBT(8) = yt + MeshParam%dy/2; zzNodeBT(8) = zt; hNodeBT(8) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt + MeshParam%dy/2, zt )
! uuNodeBT(8) = uuBtrack; vvNodeBT(8) = vvBtrack; wwNodeBT(8) = wwBtrack; xxNodeBT(8) = xt; yyNodeBT(8) = yt + MeshParam%dy/2; zzNodeBT(8) = zt; hNodeBT(8) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!!2.9 - Velocities for node n9:
!If (nElem == uElem) Then
! uElem = MeshParam%Right(MeshParam%Edge(1,uElem))
! Call pointInElem(nElem, uElem, xt, yt + 3*MeshParam%dy/2, MeshParam)
!Else
! Call pointInElem(nElem, uElem, xt, yt + 3*MeshParam%dy/2, MeshParam)
!EndIf
!
!! If nElem == uElem, this implies that uElem =/ 0 (condition checked in function pointInElem)
!If (nElem == uElem) Then
! If (bbLayer > HydroParam%ElSmallms(uElem)) Then
! ! n9 == n8:
! uuNodeBT(9) = uuNodeBT(8); vvNodeBT(9) = vvNodeBT(8); wwNodeBT(9) = wwNodeBT(8); xxNodeBT(9) = xxNodeBT(8); yyNodeBT(9) = yyNodeBT(8); zzNodeBT(9) = zt; hNodeBT(9) = hNodeBT(8)
! Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt + 3*MeshParam%dy/2, zt )
! uuNodeBT(9) = uuBtrack; vvNodeBT(9) = vvBtrack; wwNodeBT(9) = wwBtrack; xxNodeBT(9) = xt; yyNodeBT(9) = yt + 3*MeshParam%dy/2; zzNodeBT(9) = zt; hNodeBT(9) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
! EndIf
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), nElem, bbLayer, HydroParam, MeshParam)
! Call iQuadratic (uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), xt, yt + 3*MeshParam%dy/2, zt )
! uuNodeBT(9) = uuBtrack; vvNodeBT(9) = vvBtrack; wwNodeBT(9) = wwBtrack; xxNodeBT(9) = xt; yyNodeBT(9) = yt + 3*MeshParam%dy/2; zzNodeBT(9) = zt; hNodeBT(9) = Max(HydroParam%eta(nElem)-sum(HydroParam%DZsi(:,nElem)),0.d0)
!EndIf
!
!! 3 - Characteristic Line End's Velocities by Conservative Scheme:
!Call ConservativeScheme(uuBtrack, vvBtrack, uuNodeBT(:), vvNodeBT(:), xxNodeBT(:), yyNodeBT(:), hNodeBT(:), dt, psi_flag, iLayer, iEdge, HydroParam, MeshParam)
!
!uuint = uuBtrack
!vvint = vvBtrack
!wwint = wwNodeBT(3)
!
!return
!End Subroutine ELMConservative3
!
!
!Subroutine ELMConservative2(uuBtrack, vvBtrack, wwBtrack, bbElem, bbLayer, iLayer, iEdge, xt, yt, zt, dt, psi_flag, HydroParam, MeshParam)
!
!Use MeshVars !, Only:
!Use Hydrodynamic ! Only:
!
!Implicit none
!
!Real :: xt, yt, zt, dt
!Integer:: bbElem, bbLayer, psi_flag, iEdge, iLayer
!Real,intent(inout) :: uuBtrack, vvBtrack, wwBtrack
!Real :: uuNode(3,9), vvNode(3,9), wwNode(3,9), xxNode(3,9), yyNode(3,9), zzNode(3,9)
!Real :: uuNodeBT(9), vvNodeBT(9), wwNodeBT(9), xxNodeBT(9), yyNodeBT(9), zzNodeBT(9), hNodeBT(9)
!Real :: Yuu(3), Yvv(3), Yww(3), Xuu(3), Xvv(3), Xww(3)
!Real :: uuint, vvint, wwint
!Integer :: rElem, uElem, dElem, lElem
!type(MeshGridParam) :: MeshParam
!type(HydrodynamicParam) :: HydroParam
!
!If(IEdge==568) Then
! continue
!EndIf
!
!!uuNodeBT(:) = 0.d0; vvNodeBT(:) = 0.d0; wwNodeBT(:) = 0.d0; xxNodeBT(:) = 0.d0; yyNodeBT(:) = 0.d0; zzNodeBT(:) = 0.d0; hNodeBT(:) = 0.d0
!
!! For nodes positions in the vector, the Standard is this:
!!
!! .----.----.
!! | n9 |
!! | x |
!! | | |
!! | n8| |
!! .----.----.----.--x-.----.----.
!! | | | | |
!! | n2| n3 | |n4 |
!! | n1 x----x-------x-x----x n5 |
!! | | | | |
!! .----.----.----.--x-.----.----.
!! | n7| |
!! | | |
!! | x |
!! | n6 |
!! .----.----.
!
!! 1 - Neighbour Elements:
!uElem = MeshParam%Right(MeshParam%Edge(1,bbElem))
!lElem = MeshParam%Right(MeshParam%Edge(2,bbElem))
!dElem = MeshParam%Right(MeshParam%Edge(3,bbElem))
!rElem = MeshParam%Right(MeshParam%Edge(4,bbElem))
!
!! 2 - Nodes Velocities:
!! 2.1 - Velocities for nodes n2, n3, n4, n7 and n8:
!Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), bbElem, bbLayer, HydroParam, MeshParam)
!Call iQuadraticCons(uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), Xuu(:), Xvv(:), Xww(:), Yuu(:), Yvv(:), Yww(:), xt, yt, zt)
!
!uuNodeBT(2) = Yuu(1); vvNodeBT(2) = Yvv(1); wwNodeBT(2) = Yww(1); xxNodeBT(2) = xxNode(1,1); yyNodeBT(2) = yt; zzNodeBT(2) = zt; hNodeBT(2) = Max(HydroParam%H(MeshParam%Edge(2,bbElem))-HydroParam%hj(MeshParam%Edge(2,bbElem)),0.d0)
!uuNodeBT(3) = uuBtrack; vvNodeBT(3) = vvBtrack; wwNodeBT(3) = wwBtrack; xxNodeBT(3) = xt; yyNodeBT(3) = yt; zzNodeBT(3) = zt; hNodeBT(3) = Max(HydroParam%eta(bbElem)-sum(HydroParam%DZsi(:,bbElem)),0.d0)
!uuNodeBT(4) = Yuu(3); vvNodeBT(4) = Yvv(3); wwNodeBT(4) = Yww(3); xxNodeBT(4) = xxNode(1,7); yyNodeBT(4) = yt; zzNodeBT(4) = zt; hNodeBT(4) = Max(HydroParam%H(MeshParam%Edge(4,bbElem))-HydroParam%hj(MeshParam%Edge(4,bbElem)),0.d0)
!uuNodeBT(7) = Xuu(1); vvNodeBT(7) = Xvv(1); wwNodeBT(7) = Xww(1); xxNodeBT(7) = xt; yyNodeBT(7) = yyNode(1,4); zzNodeBT(7) = zt; hNodeBT(7) = Max(HydroParam%H(MeshParam%Edge(3,bbElem))-HydroParam%hj(MeshParam%Edge(3,bbElem)),0.d0)
!uuNodeBT(8) = Xuu(3); vvNodeBT(8) = Xvv(3); wwNodeBT(8) = Xww(3); xxNodeBT(8) = xt; yyNodeBT(8) = yyNode(1,6); zzNodeBT(8) = zt; hNodeBT(8) = Max(HydroParam%H(MeshParam%Edge(1,bbElem))-HydroParam%hj(MeshParam%Edge(1,bbElem)),0.d0)
!
!! 2.2 - Velocities for node n1:
!If(lElem == 0) Then
! uuNodeBT(1) = uuNodeBT(2); vvNodeBT(1) = uuNodeBT(2); wwNodeBT(1) = uuNodeBT(2); xxNodeBT(1) = xxNodeBT(2); yyNodeBT(1) = yyNodeBT(2); zzNodeBT(1) = zt; hNodeBT(1) = hNodeBT(2)
!ElseIf (bbLayer < HydroParam%ElSmallms(lElem)) Then
! uuNodeBT(1) = uuNodeBT(2); vvNodeBT(1) = uuNodeBT(2); wwNodeBT(1) = uuNodeBT(2); xxNodeBT(1) = xxNodeBT(2); yyNodeBT(1) = yyNodeBT(2); zzNodeBT(1) = zt; hNodeBT(1) = hNodeBT(2)
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), lElem, bbLayer, HydroParam, MeshParam)
! Call iQuadraticCons(uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), Yuu(:), Yvv(:), Yww(:), Xuu(:), Xvv(:), Xww(:), xxNode(1,5), yt, zt)
! uuNodeBT(1) = Yuu(2); vvNodeBT(1) = Yvv(2); wwNodeBT(1) = Yww(2); xxNodeBT(1) = xxNode(1,5); yyNodeBT(1) = yt; zzNodeBT(1) = zt; hNodeBT(1) = Max(HydroParam%eta(lElem)-sum(HydroParam%DZsi(:,lElem)),0.d0)
!EndIf
!
!! 2.3 - Velocities for node n5:
!If(rElem == 0) Then
! uuNodeBT(5) = uuNodeBT(4); vvNodeBT(5) = uuNodeBT(4); wwNodeBT(5) = uuNodeBT(4); xxNodeBT(5) = xxNodeBT(4); yyNodeBT(5) = yyNodeBT(4); zzNodeBT(5) = zt; hNodeBT(5) = hNodeBT(4)
!ElseIf(bbLayer < HydroParam%ElSmallms(rElem)) Then
! uuNodeBT(5) = uuNodeBT(4); vvNodeBT(5) = uuNodeBT(4); wwNodeBT(5) = uuNodeBT(4); xxNodeBT(5) = xxNodeBT(4); yyNodeBT(5) = yyNodeBT(4); zzNodeBT(5) = zt; hNodeBT(5) = hNodeBT(4)
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), rElem, bbLayer, HydroParam, MeshParam)
! Call iQuadraticCons(uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), Xuu(:), Xvv(:), Xww(:), Yuu(:), Yvv(:), Yww(:), xxNode(1,5), yt, zt)
! uuNodeBT(5) = Yuu(2); vvNodeBT(5) = Yvv(2); wwNodeBT(5) = Yww(2); xxNodeBT(5) = xxNode(1,5); yyNodeBT(5) = yt; zzNodeBT(5) = zt; hNodeBT(5) = max(HydroParam%eta(rElem)-sum(HydroParam%DZsi(:,rElem)),0.d0)
!EndIf
!
!! 2.4 - Velocities for node n6:
!If (dElem == 0) Then
! uuNodeBT(6) = uuNodeBT(7); vvNodeBT(6) = vvNodeBT(7); wwNodeBT(6) = wwNodeBT(7); xxNodeBT(6) = xxNodeBT(7); yyNodeBT(6) = yyNodeBT(7); zzNodeBT(6) = zt; hNodeBT(6) = hNodeBT(7)
!ElseIf (bbLayer < HydroParam%ElSmallms(dElem)) Then
! uuNodeBT(6) = uuNodeBT(7); vvNodeBT(6) = vvNodeBT(7); wwNodeBT(6) = wwNodeBT(7); xxNodeBT(6) = xxNodeBT(7); yyNodeBT(6) = yyNodeBT(7); zzNodeBT(6) = zt; hNodeBT(6) = hNodeBT(7)
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), dElem, bbLayer, HydroParam, MeshParam)
! Call iQuadraticCons(uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), Xuu(:), Xvv(:), Xww(:), Yuu(:), Yvv(:), Yww(:), xt, yyNode(1,5), zt)
! uuNodeBT(6) = Xuu(2); vvNodeBT(6) = Xvv(2); wwNodeBT(6) = Xww(2); xxNodeBT(6) = xt; yyNodeBT(6) = yyNode(1,5); zzNodeBT(6) = zt; hNodeBT(6) = max(HydroParam%eta(dElem)-sum(HydroParam%DZsi(:,dElem)),0.d0)
!EndIf
!
!! 2.5 - Velocities for node n9:
!If (uElem == 0) Then
! uuNodeBT(9) = uuNodeBT(8); vvNodeBT(9) = vvNodeBT(8); wwNodeBT(9) = wwNodeBT(8); xxNodeBT(9) = xxNodeBT(8); yyNodeBT(9) = yyNodeBT(8); zzNodeBT(9) = zt; hNodeBT(9) = hNodeBT(8)
!ElseIf (bbLayer < HydroParam%ElSmallms(uElem)) Then
! uuNodeBT(9) = uuNodeBT(8); vvNodeBT(9) = vvNodeBT(8); wwNodeBT(9) = wwNodeBT(8); xxNodeBT(9) = xxNodeBT(8); yyNodeBT(9) = yyNodeBT(8); zzNodeBT(9) = zt; hNodeBT(9) = hNodeBT(8)
!Else
! Call iQuadraticNodes(uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), uElem, bbLayer, HydroParam, MeshParam)
! Call iQuadraticCons(uuBtrack, vvBtrack, wwBtrack, uuNode(:,:), vvNode(:,:), wwNode(:,:), xxNode(:,:), yyNode(:,:), zzNode(:,:), Xuu(:), Xvv(:), Xww(:), Yuu(:), Yvv(:), Yww(:), xt, yyNode(1,5), zt)
! uuNodeBT(9) = Xuu(2); vvNodeBT(9) = Xvv(2); wwNodeBT(9) = Xww(2); xxNodeBT(9) = xt; yyNodeBT(9) = yyNode(1,5); zzNodeBT(9) = zt; hNodeBT(9) = max(HydroParam%eta(uElem)-sum(HydroParam%DZsi(:,uElem)),0.d0)
!EndIf
!
!! 3 - Characteristic Line End's Velocities by Conservative Scheme:
!Call ConservativeScheme(uuBtrack, vvBtrack, uuNodeBT(:), vvNodeBT(:), xxNodeBT(:), yyNodeBT(:), hNodeBT(:), dt, psi_flag, iLayer, iEdge, HydroParam, MeshParam)
!
!
!uuint = uuBtrack
!vvint = vvBtrack
!wwint = wwNodeBT(3)
!
!
!return
!End Subroutine ELMConservative2
!
!
!
!Subroutine ConservativeScheme(uuBtrack, vvBtrack, uuNode, vvNode, xxNode, yyNode, dzNode, dt, psi_flag, iLayer, iEdge, HydroParam, MeshParam)
!
!Use MeshVars
!Use Hydrodynamic
!
!Implicit None
!
!Real, intent(in) :: uuNode(9), vvNode(9), xxNode(9), yyNode(9), dzNode(9), dt
!Real, intent(inout) :: uuBtrack, vvBtrack
!Real :: fi_small = 0.0d0
!Real :: epsGrad = 10 !CAYO
!Real :: rj(2,4), psi(2,4), ru, soma
!Real :: Courant
!Integer :: psi_flag, iEdge, iLayer
!type(MeshGridParam) :: MeshParam
!type(HydrodynamicParam) :: HydroParam
!
!psi(:,:) = 0.0d0
!rj(:,:) = 0.0d0
!HydroParam%uArrow(iLayer,:,iEdge) = 0.d0
!Courant = uuNode(3)*dt/MeshParam%CirDistance(iEdge) !7 - Super-C/ 8 - Ultimate-Quickest/ 9 - Hyper-C
!
!if (iEdge==568) then
! continue
!EndIf
!
!!x - direction:
!If ((uuNode(3) - uuNode(1))/MeshParam%CirDistance(iEdge) > epsGrad > 0) Then
!
! If (uuNode(3) + uuNode(1) >= 0) Then
! HydroParam%uArrow(iLayer,1,iEdge) = 0.5*(uuNode(3) + uuNode(1))
!
! rj(1,1) = ru(uuNode(3),uuNode(2),uuNode(1),xxNode(3),xxNode(2),xxNode(1),yyNode(3),yyNode(2),yyNode(1))
! Call Psi_value(psi_flag,rj(1,1),Courant,fi_small,psi(1,1))
!
! rj(1,2) = ru(uuNode(4),uuNode(3),uuNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(1,2),Courant,fi_small,psi(1,2))
!
! rj(2,1) = ru(vvNode(3),vvNode(2),vvNode(1),xxNode(3),xxNode(2),xxNode(1),yyNode(3),yyNode(2),yyNode(1))
! Call Psi_value(psi_flag,rj(2,1),Courant,fi_small,psi(2,1))
!
! rj(2,2) = ru(vvNode(4),vvNode(3),vvNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(2,2),Courant,fi_small,psi(2,2))
! Else
! HydroParam%uArrow(iLayer,1,iEdge) = 0.5*(uuNode(3) + uuNode(5))
!
! rj(1,1) = ru(uuNode(4),uuNode(3),uuNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(1,1),Courant,fi_small,psi(1,1))
!
! rj(1,2) = ru(uuNode(5),uuNode(4),uuNode(3),xxNode(5),xxNode(4),xxNode(3),yyNode(5),yyNode(4),yyNode(3))
! Call Psi_value(psi_flag,rj(1,2),Courant,fi_small,psi(1,2))
!
! rj(2,1) = ru(vvNode(4),vvNode(3),vvNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(2,1),Courant,fi_small,psi(2,1))
!
! rj(2,2) = ru(vvNode(5),vvNode(4),vvNode(3),xxNode(5),xxNode(4),xxNode(3),yyNode(5),yyNode(4),yyNode(3))
! Call Psi_value(psi_flag,rj(2,2),Courant,fi_small,psi(2,2))
! EndIf
! ! y-direction:
! If (vvNode(3) + vvNode(6) >= 0) Then
! HydroParam%uArrow(iLayer,2,iEdge) = 0.5*(vvNode(3) + vvNode(6))
!
! rj(1,3) = ru(uuNode(3),uuNode(7),uuNode(6),xxNode(3),xxNode(7),xxNode(6),yyNode(3),yyNode(7),yyNode(6))
! Call Psi_value(psi_flag,rj(1,3),Courant,fi_small,psi(1,3))
!
! rj(1,4) = ru(uuNode(8),uuNode(3),uuNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(1,4),Courant,fi_small,psi(1,4))
!
! rj(2,3) = ru(vvNode(3),vvNode(7),vvNode(6),xxNode(3),xxNode(7),xxNode(6),yyNode(3),yyNode(7),yyNode(6))
! Call Psi_value(psi_flag,rj(2,3),Courant,fi_small,psi(2,3))
!
! rj(2,4) = ru(vvNode(8),vvNode(3),vvNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(2,4),Courant,fi_small,psi(2,4))
! Else
! HydroParam%uArrow(iLayer,2,iEdge) = 0.5*(vvNode(3) + vvNode(9))
!
! rj(1,3) = ru(uuNode(8),uuNode(3),uuNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(1,3),Courant,fi_small,psi(1,3))
!
! rj(1,4) = ru(uuNode(9),uuNode(8),uuNode(3),xxNode(9),xxNode(8),xxNode(3),yyNode(9),yyNode(8),yyNode(3))
! Call Psi_value(psi_flag,rj(1,4),Courant,fi_small,psi(1,4))
!
! rj(2,3) = ru(vvNode(8),vvNode(3),vvNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(2,3),Courant,fi_small,psi(2,3))
!
! rj(2,4) = ru(vvNode(9),vvNode(8),vvNode(3),xxNode(9),xxNode(8),xxNode(3),yyNode(9),yyNode(8),yyNode(3))
! Call Psi_value(psi_flag,rj(2,4),Courant,fi_small,psi(2,4))
! EndIf
!Else
! ! x-direction:
! If (uuNode(3)*dzNode(3) + uuNode(1)*dzNode(1) >= 0 ) Then
! !HydroParam%uArrow(iLayer,1,iEdge) = (uuNode(3)*dzNode(3) + uuNode(2)*dzNode(2))/(dzNode(4) + dzNode(2))
! HydroParam%uArrow(iLayer,1,iEdge) = (uuNode(3)*dzNode(3) + uuNode(1)*dzNode(1))/(dzNode(4) + dzNode(2))
!
! rj(1,1) = ru(uuNode(3),uuNode(2),uuNode(1),xxNode(3),xxNode(2),xxNode(1),yyNode(3),yyNode(2),yyNode(1))
! Call Psi_value(psi_flag,rj(1,1),Courant,fi_small,psi(1,1))
!
! rj(1,2) = ru(uuNode(4),uuNode(3),uuNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(1,2),Courant,fi_small,psi(1,2))
!
! rj(2,1) = ru(vvNode(3),vvNode(2),vvNode(1),xxNode(3),xxNode(2),xxNode(1),yyNode(3),yyNode(2),yyNode(1))
! Call Psi_value(psi_flag,rj(2,1),Courant,fi_small,psi(2,1))
!
! rj(2,2) = ru(vvNode(4),vvNode(3),vvNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(2,2),Courant,fi_small,psi(2,2))
! Else
! !HydroParam%uArrow(iLayer,1,iEdge) = (uuNode(4)*dzNode(4) + uuNode(3)*dzNode(3))/(dzNode(4) + dzNode(2))
! HydroParam%uArrow(iLayer,1,iEdge) = (uuNode(3)*dzNode(3) + uuNode(5)*dzNode(5))/(dzNode(4) + dzNode(2))
!
! rj(1,1) = ru(uuNode(4),uuNode(3),uuNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(1,1),Courant,fi_small,psi(1,1))
!
! rj(1,2) = ru(uuNode(5),uuNode(4),uuNode(3),xxNode(5),xxNode(4),xxNode(3),yyNode(5),yyNode(4),yyNode(3))
! Call Psi_value(psi_flag,rj(1,2),Courant,fi_small,psi(1,2))
!
! rj(2,1) = ru(vvNode(4),vvNode(3),vvNode(2),xxNode(4),xxNode(3),xxNode(2),yyNode(4),yyNode(3),yyNode(2))
! Call Psi_value(psi_flag,rj(2,1),Courant,fi_small,psi(2,1))
!
! rj(2,2) = ru(vvNode(5),vvNode(4),vvNode(3),xxNode(5),xxNode(4),xxNode(3),yyNode(5),yyNode(4),yyNode(3))
! Call Psi_value(psi_flag,rj(2,2),Courant,fi_small,psi(2,2))
! EndIf
!
!! y-direction:
! If (vvNode(3)*dzNode(3) + vvNode(6)*dzNode(6)>= 0) Then
! !HydroParam%uArrow(iLayer,2,iEdge) = (vvNode(3)*dzNode(3) + vvNode(7)*dzNode(7))/(dzNode(8) + dzNode(7))
! HydroParam%uArrow(iLayer,2,iEdge) = (vvNode(3)*dzNode(3) + vvNode(6)*dzNode(6))/(dzNode(8) + dzNode(7))
!
! rj(1,3) = ru(uuNode(3),uuNode(7),uuNode(6),xxNode(3),xxNode(7),xxNode(6),yyNode(3),yyNode(7),yyNode(6))
! Call Psi_value(psi_flag,rj(1,3),Courant,fi_small,psi(1,3))
!
! rj(1,4) = ru(uuNode(8),uuNode(3),uuNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(1,4),Courant,fi_small,psi(1,4))
!
! rj(2,3) = ru(vvNode(3),vvNode(7),vvNode(6),xxNode(3),xxNode(7),xxNode(6),yyNode(3),yyNode(7),yyNode(6))
! Call Psi_value(psi_flag,rj(2,3),Courant,fi_small,psi(2,3))
!
! rj(2,4) = ru(vvNode(8),vvNode(3),vvNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(2,4),Courant,fi_small,psi(2,4))
! Else
! !HydroParam%uArrow(iLayer,2,iEdge) = (vvNode(7)*dzNode(7) + vvNode(3)*dzNode(3))/(dzNode(8) + dzNode(7))
! HydroParam%uArrow(iLayer,2,iEdge) = (vvNode(3)*dzNode(3) + vvNode(9)*dzNode(9))/(dzNode(8) + dzNode(7))
!
! rj(1,3) = ru(uuNode(8),uuNode(3),uuNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(1,3),Courant,fi_small,psi(1,3))
!
! rj(1,4) = ru(uuNode(9),uuNode(8),uuNode(3),xxNode(9),xxNode(8),xxNode(3),yyNode(9),yyNode(8),yyNode(3))
! Call Psi_value(psi_flag,rj(1,4),Courant,fi_small,psi(1,4))
!
! rj(2,3) = ru(vvNode(8),vvNode(3),vvNode(7),xxNode(8),xxNode(3),xxNode(7),yyNode(8),yyNode(3),yyNode(7))
! Call Psi_value(psi_flag,rj(2,3),Courant,fi_small,psi(2,3))
!
! rj(2,4) = ru(vvNode(9),vvNode(8),vvNode(3),xxNode(9),xxNode(8),xxNode(3),yyNode(9),yyNode(8),yyNode(3))
! Call Psi_value(psi_flag,rj(2,4),Courant,fi_small,psi(2,4))
! EndIf
!EndIf
!
!
!If (HydroParam%uArrow(iLayer,1,iEdge)*dt/(xxNode(4)-xxNode(2)) <0 .or. HydroParam%uArrow(iLayer,2,iEdge)*dt/(yyNode(8)-yyNode(7)) <0) Then
! soma = HydroParam%uArrow(iLayer,1,iEdge) + HydroParam%uArrow(iLayer,2,iEdge)
! continue
!EndIf
!!HydroParam%uxyback(iLayer,1,iEdge) = uuNode(3) - dt*(0.5*Max(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(1,2))*uuNode(3) - (2 + psi(1,1) + psi(1,2))*uuNode(2) + psi(1,1)*uuNode(1))/MeshParam%dx + 0.5*Min(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(1,2))*uuNode(4) - (2 + psi(1,1) + psi(1,2))*uuNode(3) + psi(1,1)*uuNode(2))/MeshParam%dx + 0.5*Max(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(1,4))*uuNode(3) - (2 + psi(1,3) + psi(1,4))*uuNode(7) + psi(1,3)*uuNode(6))/MeshParam%dy + 0.5*Min(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(1,4))*uuNode(8) - (2 + psi(1,3) + psi(1,4))*uuNode(3) + psi(1,3)*uuNode(7))/MeshParam%dy)
!!HydroParam%uxyback(iLayer,2,iEdge) = uuNode(3) - dt*(0.5*Max(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(2,2))*vvNode(3) - (2 + psi(2,1) + psi(2,2))*vvNode(2) + psi(2,1)*vvNode(1))/MeshParam%dx + 0.5*Min(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(2,2))*vvNode(4) - (2 + psi(2,1) + psi(2,2))*vvNode(3) + psi(2,1)*vvNode(2))/MeshParam%dx + 0.5*Max(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(2,4))*vvNode(3) - (2 + psi(2,3) + psi(2,4))*vvNode(7) + psi(2,3)*vvNode(6))/MeshParam%dy + 0.5*Min(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(2,4))*vvNode(8) - (2 + psi(2,3) + psi(2,4))*vvNode(3) + psi(2,3)*vvNode(7))/MeshParam%dy)
!!
!!HydroParam%uxyback(iLayer,1,iEdge) = uuNode(3) - dt*(0.5*Max(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(1,2))*uuNode(3) - (2 + psi(1,1) + psi(1,2))*uuNode(2) + psi(1,1)*uuNode(1))/(xxNode(3)-xxNode(2)) + 0.5*Min(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(1,2))*uuNode(4) - (2 + psi(1,1) + psi(1,2))*uuNode(3) + psi(1,1)*uuNode(2))/(xxNode(4)-xxNode(3)) + 0.5*Max(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(1,4))*uuNode(3) - (2 + psi(1,3) + psi(1,4))*uuNode(7) + psi(1,3)*uuNode(6))/(yyNode(3)-yyNode(7)) + 0.5*Min(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(1,4))*uuNode(8) - (2 + psi(1,3) + psi(1,4))*uuNode(3) + psi(1,3)*uuNode(7))/(yyNode(8)-yyNode(3)))
!!HydroParam%uxyback(iLayer,2,iEdge) = uuNode(3) - dt*(0.5*Max(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(2,2))*vvNode(3) - (2 + psi(2,1) + psi(2,2))*vvNode(2) + psi(2,1)*vvNode(1))/(xxNode(3)-xxNode(2)) + 0.5*Min(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(2,2))*vvNode(4) - (2 + psi(2,1) + psi(2,2))*vvNode(3) + psi(2,1)*vvNode(2))/(xxNode(4)-xxNode(3)) + 0.5*Max(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(2,4))*vvNode(3) - (2 + psi(2,3) + psi(2,4))*vvNode(7) + psi(2,3)*vvNode(6))/(yyNode(3)-yyNode(7)) + 0.5*Min(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(2,4))*vvNode(8) - (2 + psi(2,3) + psi(2,4))*vvNode(3) + psi(2,3)*vvNode(7))/(yyNode(8)-yyNode(3)))
!!
!
!uuBtrack = uuNode(3) - dt*(0.5*Max(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(1,2))*uuNode(3) - (2 + psi(1,1) + psi(1,2))*uuNode(2) + psi(1,1)*uuNode(1))/MeshParam%dx + 0.5*Min(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(1,2))*uuNode(4) - (2 + psi(1,1) + psi(1,2))*uuNode(3) + psi(1,1)*uuNode(2))/MeshParam%dx + 0.5*Max(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(1,4))*uuNode(3) - (2 + psi(1,3) + psi(1,4))*uuNode(7) + psi(1,3)*uuNode(6))/MeshParam%dy + 0.5*Min(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(1,4))*uuNode(8) - (2 + psi(1,3) + psi(1,4))*uuNode(3) + psi(1,3)*uuNode(7))/MeshParam%dy)
!vvBtrack = vvNode(3) - dt*(0.5*Max(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(2,2))*vvNode(3) - (2 + psi(2,1) + psi(2,2))*vvNode(2) + psi(2,1)*vvNode(1))/MeshParam%dx + 0.5*Min(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(2,2))*vvNode(4) - (2 + psi(2,1) + psi(2,2))*vvNode(3) + psi(2,1)*vvNode(2))/MeshParam%dx + 0.5*Max(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(2,4))*vvNode(3) - (2 + psi(2,3) + psi(2,4))*vvNode(7) + psi(2,3)*vvNode(6))/MeshParam%dy + 0.5*Min(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(2,4))*vvNode(8) - (2 + psi(2,3) + psi(2,4))*vvNode(3) + psi(2,3)*vvNode(7))/MeshParam%dy)
!
!!uuBtrack = uuNode(3) - dt*(0.5*Max(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(1,2))*uuNode(3) - (2 + psi(1,1) + psi(1,2))*uuNode(2) + psi(1,1)*uuNode(1))/(xxNode(4)-xxNode(2)) + 0.5*Min(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(1,2))*uuNode(4) - (2 + psi(1,1) + psi(1,2))*uuNode(3) + psi(1,1)*uuNode(2))/(xxNode(4)-xxNode(2)) + 0.5*Max(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(1,4))*uuNode(3) - (2 + psi(1,3) + psi(1,4))*uuNode(7) + psi(1,3)*uuNode(6))/(yyNode(8)-yyNode(7)) + 0.5*Min(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(1,4))*uuNode(8) - (2 + psi(1,3) + psi(1,4))*uuNode(3) + psi(1,3)*uuNode(7))/(yyNode(8)-yyNode(7)))
!!vvBtrack = vvNode(3) - dt*(0.5*Max(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(2,2))*vvNode(3) - (2 + psi(2,1) + psi(2,2))*vvNode(2) + psi(2,1)*vvNode(1))/(xxNode(4)-xxNode(2)) + 0.5*Min(HydroParam%uArrow(iLayer,1,iEdge),0.d0)*((2 + psi(2,2))*vvNode(4) - (2 + psi(2,1) + psi(2,2))*vvNode(3) + psi(2,1)*vvNode(2))/(xxNode(4)-xxNode(2)) + 0.5*Max(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(2,4))*vvNode(3) - (2 + psi(2,3) + psi(2,4))*vvNode(7) + psi(2,3)*vvNode(6))/(yyNode(8)-yyNode(7)) + 0.5*Min(HydroParam%uArrow(iLayer,2,iEdge),0.d0)*((2 + psi(2,4))*vvNode(8) - (2 + psi(2,3) + psi(2,4))*vvNode(3) + psi(2,3)*vvNode(7))/(yyNode(8)-yyNode(7)))
!!
!End Subroutine ConservativeScheme
!
!
!Subroutine iQuadraticNodes(uuNode, vvNode, wwNode, xxNode, yyNode, zzNode, bbElem, bbLayer, HydroParam, MeshParam)
!
!Use MeshVars !, Only:
!Use Hydrodynamic ! Only:
!
!Implicit none
!
!Integer, intent(in) :: bbElem, bbLayer
!Real, intent(inout) :: uuNode(3,9), vvNode(3,9), wwNode(3,9), xxNode(3,9), yyNode(3,9), zzNode(3,9)
!Real :: Nodes(9)
!Integer :: n1, n2, n3, n4, n5, n6, n7, n8, n9
!type(MeshGridParam) :: MeshParam
!type(HydrodynamicParam) :: HydroParam
!
!!iQuadratic Interpolation Nodes in bbLayer from bbElem
!! For nodes positions in the vector, the Standard is this:
!! n6
!! n3 .--.--. n9
!! | |
!! n2 . . . n8
!! | n5 |
!! n1 .--.--. n7
!! n4
!n1 = MeshParam%Quadri(3,bbElem) + 1
!n2 = MeshParam%Edge(2,bbElem)
!n3 = MeshParam%Quadri(2,bbElem) + 1
!n4 = MeshParam%Edge(3,bbElem)
!n5 = bbElem
!n6 = MeshParam%Edge(1,bbElem)
!n7 = MeshParam%Quadri(4,bbElem) + 1
!n8 = MeshParam%Edge(4,bbElem)
!n9 = MeshParam%Quadri(1,bbElem) + 1
!Nodes(1:9)= (/n1, n2, n3, n4, n5, n6, n7, n8, n9 /)