Add element functor integral (with elemQp) test testing FE, FE higher…

… order, FV variables, functions, functor matprop, refs idaholab#16099

test/tests/postprocessors/element_integral/functors/element_integral_test.i

@@ -0,0 +1,103 @@
+[Mesh]
+  second_order = true
+  [square]
+    type = GeneratedMeshGenerator
+    nx = 2
+    ny = 2
+    dim = 2
+  []
+  [block]
+    type = ParsedSubdomainMeshGenerator
+    input = square
+    block_id = 1
+    combinatorial_geometry = 'x > 0.5'
+  []
+[]
+
+[Problem]
+  solve = false
+[]
+
+[Executioner]
+  type = Steady
+[]
+
+[AuxVariables]
+  [nodal]
+    [InitialCondition]
+      type = FunctionIC
+      function = '1 + x*x + y*y*y'
+    []
+  []
+  [fe_higher_order]
+    order = SECOND
+    [InitialCondition]
+      type = FunctionIC
+      function = '1 + x*x + y*y*y'
+    []
+  []
+  [fe_elemental]
+    family = MONOMIAL
+    order = SECOND
+    [InitialCondition]
+      type = FunctionIC
+      function = '1 + x*x + y*y*y'
+    []
+  []
+  [fv_var]
+    type = MooseVariableFVReal
+    [InitialCondition]
+      type = FunctionIC
+      function = '1 + x*x + y*y*y'
+    []
+  []
+[]
+
+[Functions]
+  [f]
+    type = ParsedFunction
+    value = '1 + x*x + y*y*y'
+  []
+[]
+
+[Materials]
+  [two_piece]
+    type = ADPiecewiseByBlockFunctorMaterial
+    prop_name = 'mat'
+    subdomain_to_prop_value = '0 nodal 1 fv_var'
+  []
+[]
+
+[Postprocessors]
+  [fe]
+    type = ADElementIntegralFunctorPostprocessor
+    functor = nodal
+  []
+  [fe_higher_order]
+    type = ADElementIntegralFunctorPostprocessor
+    functor = fe_higher_order
+  []
+  [fe_elemental]
+    type = ADElementIntegralFunctorPostprocessor
+    functor = fe_elemental
+  []
+  [fv]
+    type = ADElementIntegralFunctorPostprocessor
+    functor = fv_var
+  []
+  [function]
+    type = ElementIntegralFunctorPostprocessor
+    functor = f
+    prefactor = f
+  []
+  [functor_matprop]
+    type = ADElementIntegralFunctorPostprocessor
+    functor = mat
+  []
+[]
+
+[Outputs]
+  file_base = out
+  exodus = false
+  csv = true
+[]

test/tests/postprocessors/element_integral/functors/gold/out.csv

@@ -0,0 +1,3 @@
+time,fe,fe_elemental,fe_higher_order,function,functor_matprop,fv
+0,0,0,0,0,0,0
+1,1.6875,1.5833333333333,1.5833333333333,2.6761848958333,1.609375,1.53125

test/tests/postprocessors/element_integral/functors/tests

@@ -0,0 +1,12 @@
+[Tests]
+  design = 'ElementIntegralFunctorPostprocessor.md'
+  issues = '#16099'
+
+  [element_integral]
+    type = 'CSVDiff'
+    input = 'element_integral_test.i'
+    csvdiff = 'out.csv'
+    requirement = 'The system shall compute the element integral of a functor'
+    ad_indexing_type = 'global'
+  []
+[]