Add a test for testing new AD dot routines in coupleable

test/tests/interfaces/coupleable/coupled_dots.i

@@ -0,0 +1,82 @@
+[Mesh]
+  [gmg]
+    type = GeneratedMeshGenerator
+    dim = 1
+    nx = 2
+  []
+[]
+
+[Functions]
+  [linear]
+    type = ParsedFunction
+    expression = 'x + 10*t + 2*t*t'
+  []
+[]
+
+[AuxVariables]
+  [base]
+    family = MONOMIAL
+    order = CONSTANT
+  []
+  [second]
+    family = MONOMIAL
+    order = CONSTANT
+  []
+[]
+
+[AuxKernels]
+  [base_aux]
+    type = FunctionAux
+    function = 'linear'
+    variable = 'base'
+  []
+[]
+
+[Executioner]
+  type = Transient
+  num_steps = 3
+
+  [TimeIntegrator]
+    type = CentralDifference
+  []
+[]
+
+[Problem]
+  solve = false
+
+[]
+
+[Materials]
+  [coupled]
+    type = CoupledValuesMaterial
+    variable = 'base'
+  []
+  [ad_coupled]
+    type = ADCoupledValuesMaterial
+    variable = 'base'
+    declare_suffix = 'ad'
+  []
+[]
+
+[Postprocessors]
+  [dot]
+    type = ElementAverageMaterialProperty
+    mat_prop = 'base_dot'
+  []
+  [dot_dot]
+    type = ElementAverageMaterialProperty
+    mat_prop = 'base_dot_dot'
+  []
+  [ad_dot]
+    type = ADElementAverageMaterialProperty
+    mat_prop = 'base_dot_ad'
+  []
+  [ad_dot_dot]
+    type = ADElementAverageMaterialProperty
+    mat_prop = 'base_dot_dot_ad'
+  []
+[]
+
+[Outputs]
+  csv = true
+[]

test/tests/interfaces/coupleable/gold/coupled_dots_out.csv

@@ -0,0 +1,5 @@
+time,ad_dot,ad_dot_dot,dot,dot_dot
+0,0,0,0,0
+1,6.25,12.5,6.25,12.5
+2,14.25,3.5,14.25,3.5
+3,18,4,18,4

test/tests/interfaces/coupleable/tests

@@ -23,4 +23,12 @@
     exodiff = 'array_coupling_by_name_out.e'
     requirement = 'The system shall be able to couple an array variable with its name directly through the coupling interface.'
   []
+  [time_derivative_coupling]
+    design = 'Coupleable.md'
+    issues = '#28'
+    type = CSVDiff
+    input = 'coupled_dots.i'
+    csvdiff = 'coupled_dots_out.csv'
+    requirement = 'The system shall be able to retrieve the time derivatives of variables through the coupling interface.'
+  []
 []