Merge branch '137-add-a-finite-volume-local-operator-for-the-richards-equation' into 'master'

Resolve "Add a Finite Volume local operator for the Richards equation"

Closes #137

See merge request !132

CHANGELOG.md

@@ -148,6 +148,7 @@
 * Structure and setup of Sphinx user docs !126
 * Switch to stable `dune-randomfield` release branch !151, !153
 * System tests for executing `dorie pfg` module !153
+* Finite volume solver for the Richards equation !132
 
 ### Fixed
 * Solver in `RichardsSimulation` was using the wrong time variable.

doc/default_files/richards-parameters.xml

@@ -52,9 +52,8 @@ adding an empty line, make text **bold** or ``monospaced``.
 
     <parameter name="vertexData">
       <definition> Plot vertex based (``true``) or cell-centered (``false``)
-       data into VTK files. Vertex based data might render sharp
-       parameterization boundaries inappropriately.
-       System tests and plotting functions (``dorie plot``) require
+       data into VTK files. Prefer vertex over cell data for full-precision
+       output. System tests and plotting functions (``dorie plot``) require
        cell-centered data.
       </definition>
       <values> true, false </values>
@@ -240,10 +239,12 @@ adding an empty line, make text **bold** or ``monospaced``.
     </parameter>
 
     <parameter name="FEorder">
-      <definition> Order of the finite element method used. Values &gt; 1 are not
-        thoroughly tested. </definition>
+      <definition> Polynomial order of the DG method used. Setting this value
+        to 0 (zero) selects the finite volume (FV) solver (only compatible to
+        structured rectangular grids).
+      </definition>
       <suggestion> 1 </suggestion>
-      <values> 1, 2, 3 </values>
+      <values> 0, 1, 2, 3 </values>
     </parameter>
   </category>
 

doc/introduction/features.rst

@@ -39,6 +39,17 @@ singularities.
 Use the value ``richards`` in the ``simulation.mode`` keyword to run the
 standalone Richards solver.
 
+.. _richards_solver_options:
+
+Solver Options
+--------------
+
+DORiE includes a finite volume (FV) and a discontinuous Galerkin (DG) solver
+for the Richards equation. The FV solver can be selected for structured
+rectangular grids by setting ``richards.numerics.FEorder = 0`` when adaptivity
+is disabled. The DG solver is used for orders :math:`k \geq 1` and is available
+for all grid options.
+
 Solute Transport Solver
 =======================
 

doc/manual/fluxes.rst

@@ -10,34 +10,44 @@ Firstly, we have to recall that DORiE solves a Discontinuous Galerking finite el
 
 From the description above one can infer that one has to distinguish between * fluxes* at the interior of each element and at the intersections of all elements (we call these intersections skeleton of the grid). Unfortunately, there is no a standard form to write the skeleton fluxes on formats like VTK and that's the main reason why DORiE only provides the interior fluxes. However, assuming one can write both fluxes into some output format, they are still discontinuous (notice that direct use of discontinuous fluxes are useless for conservative computations since the transported quantities are very likely to get stagnated or over-transported in the nearby of intersections between elements). It means that it is needed some sort of post-processing that ensures that the *mass* is still locally and globally conserved.
 
-.. DORiE allow finite volume computations under certain specific conditions. In such case, if generated, the raw flux output generated by DORiE has no meaning. The reason is that finite volumes are computed with finite elements of order 0 where gradients are 0.
+When employing a finite volume solver, the regular flux output is omitted
+because the basis function gradients are always zero. In this case, the only
+option for evaluating flux data is flux reconstruction which has to be enabled
+in the :doc:`config file <config-file>`.
 
 Flux reconstruction
 -------------------
 The flux reconstruction is a projection of the fluxes used in the Discontinuous Galerkin method into a vector field function. Using correct elements, this procedure can ensure that fluxes in normal direction to the element are *equivalent* to those computed by the Discontinuous Galerkin method, and most importantly, it can also ensure the continuity of them. Hence, the resulting vector field is useful to compute other problems that rely on the fluxes of the water (i.e. solute transport).
 
-The flux reconstruction technique always use Raviar Thomas finite elements of one degree less than the one set for the Richards model. It can be identified in the vtk file by the name ``flux_RT{k-1}``, where ``k`` is the finite element order set for the Richards model. Flux reconstruction is not available for non-conforming grids (i.e. Cube-adaptive grids).
-
-+---------------------------+---+---+---+
-| Richards FEorder          | 1 | 2 | 3 |
-+============+====+=========+===+===+===+
-|            | 2D | Simplex | ✓ | ✓ | ✓ |
-|            |    +---------+---+---+---+
-|            |    | Cube    | ✓ | ✓ | ✓ |
-| Non-adapt. +----+---------+---+---+---+
-|            | 3D | Simplex | ✓ | ✓ | ✓ |
-|            |    +---------+---+---+---+
-|            |    | Cube    | ✓ | ✓ |   |
-+------------+----+---------+---+---+---+
-|            | 2D | Simplex | ✓ | ✓ | ✓ |
-|            |    +---------+---+---+---+
-|            |    | Cube    |   |   |   |
-| Adapt.     +----+---------+---+---+---+
-|            | 3D | Simplex | ✓ | ✓ | ✓ |
-|            |    +---------+---+---+---+
-|            |    | Cube    |   |   |   |
-+------------+----+---------+---+---+---+
+The flux reconstruction technique always use Raviar Thomas finite elements of one degree less than the one set for the Richards model. It can be identified in the vtk file by the name ``flux_RT{min(k-1,0)}``, where ``k`` is the finite element order set for the Richards model. Flux reconstruction is not available for non-conforming grids (i.e. Cube-adaptive grids).
+
++---------------------------+---+---+---+---+
+| Richards FEorder          | 0 | 1 | 2 | 3 |
++============+====+=========+===+===+===+===+
+|            | 2D | Simplex | ✗ | ✓ | ✓ | ✓ |
+|            |    +---------+---+---+---+---+
+|            |    | Cube    | ✓ | ✓ | ✓ | ✓ |
+| Non-adapt. +----+---------+---+---+---+---+
+|            | 3D | Simplex | ✗ | ✓ | ✓ | ✓ |
+|            |    +---------+---+---+---+---+
+|            |    | Cube    | ✓ | ✓ | ✓ |   |
++------------+----+---------+---+---+---+---+
+|            | 2D | Simplex | ✗ | ✓ | ✓ | ✓ |
+|            |    +---------+---+---+---+---+
+|            |    | Cube    | ✗ |   |   |   |
+| Adapt.     +----+---------+---+---+---+---+
+|            | 3D | Simplex | ✗ | ✓ | ✓ | ✓ |
+|            |    +---------+---+---+---+---+
+|            |    | Cube    | ✗ |   |   |   |
++------------+----+---------+---+---+---+---+
+
+Legend:
+
+* ✓: Flux reconstruction available.
+* ( ): Flux reconstruction unavailable.
+* ✗: Invalid setting. Finite volume solvers only works on regular grids,
+  see :ref:`Richards Solver Options <richards_solver_options>`.
 
 Usage
 -----
-To activate/deactivate flux reconstruction use the keyword ``richards.numeric.fluxReconstruction = true/false`` in the :doc:`config file<man-config-file>`.
+To activate/deactivate flux reconstruction use the keyword ``richards.numeric.fluxReconstruction = true/false`` in the :doc:`config file <config-file>`.

dune/dorie/model/richards/adaptivity/operator_error_indicator.hh

@@ -15,7 +15,7 @@
 #include <dune/pdelab/localoperator/defaultimp.hh>
 #include <dune/pdelab/finiteelement/localbasiscache.hh>
 
-#include <dune/dorie/model/richards/local_operator.hh>
+#include <dune/dorie/model/richards/local_operator_DG.hh>
 
 namespace Dune {
   namespace Dorie {

dune/dorie/model/richards/impl/CMakeLists.txt

 add_library(dorie-richards STATIC
+	sim_yasp_2_0.cc
 	sim_yasp_2_1.cc
-	sim_yasp_2_2.cc
 	sim_ug_2_1.cc
+	sim_yasp_2_2.cc
 	sim_yasp_2_3.cc
-	sim_yasp_3_1.cc
 	sim_ug_2_2.cc
+	sim_yasp_3_0.cc
+	sim_yasp_3_1.cc
+	sim_ug_2_3.cc
 	sim_yasp_3_2.cc
 	sim_yasp_3_3.cc
-	sim_ug_2_3.cc
 	sim_ug_3_1.cc
 	sim_ug_3_2.cc
 	sim_ug_3_3.cc)

dune/dorie/model/richards/impl/sim_yasp_2_0.cc

+#ifdef HAVE_CONFIG_H
+#include "config.h"
+#endif
+
+#include <dune/dorie/model/richards/impl/impl.hh>
+#include <dune/dorie/model/richards/richards.cc>
+
+namespace Dune{
+namespace Dorie{
+
+template class RichardsSimulation<RichardsSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,0>>;
+
+} // namespace Dorie
+} // namespace Dune
\ No newline at end of file

dune/dorie/model/richards/impl/sim_yasp_3_0.cc

+#ifdef HAVE_CONFIG_H
+#include "config.h"
+#endif
+
+#include <dune/dorie/model/richards/impl/impl.hh>
+#include <dune/dorie/model/richards/richards.cc>
+
+namespace Dune{
+namespace Dorie{
+
+template class RichardsSimulation<RichardsSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,0>>;
+
+} // namespace Dorie
+} // namespace Dune
\ No newline at end of file

dune/dorie/model/richards/local_operator.hh → dune/dorie/model/richards/local_operator_DG.hh

@@ -133,7 +133,8 @@ inline auto read_experimental_operator_settings(
  *  enough to support p-adaptivity.  (Another likely candidate would be
  *  differing geometry types, i.e. hybrid meshes.)
  *
- * @ingroup LocalOperators
+ * @ingroup    LocalOperators
+ * @ingroup    RichardsModel
  */
 template<typename Traits, typename Parameter, typename Boundary, typename SourceTerm, typename FEM, bool adjoint>
   class RichardsDGSpatialOperator
@@ -937,6 +938,7 @@ public:
  * @brief DG local operator for the temporal derivative of the Richards equation
  *
  * @ingroup LocalOperators
+ * @ingroup RichardsModel
  */
 template<typename Traits, typename Parameter, typename FEM, bool adjoint>
   class RichardsDGTemporalOperator

dune/dorie/model/richards/richards.cc

@@ -56,21 +56,32 @@ RichardsSimulation<Traits>::RichardsSimulation (
 	finitial = FlowInitialFactory::create(inifile, gv, this->_log);
 
 	// --- Local Operators ---
+  if constexpr (order>0)
+  {
+		this->_log->debug("Setting up local grid operators: DG method");
+
 #ifdef EXPERIMENTAL_DG_FEATURES
-	// read experimental settings from inifile
-	namespace OP = Dune::Dorie::Operator;
-	const auto settings = OP::read_experimental_operator_settings(inifile);
-	const auto method = std::get<OP::RichardsDGMethod::Type>(settings);
-	const auto upwinding = std::get<OP::RichardsDGUpwinding::Type>(settings);
-	const auto weights = std::get<OP::RichardsDGWeights::Type>(settings);
-
-	slop = std::make_unique<SLOP>(inifile, fparam, fboundary, fsource,
-								  							method, upwinding, weights);
+		// read experimental settings from inifile
+		namespace OP = Dune::Dorie::Operator;
+		const auto settings = OP::read_experimental_operator_settings(inifile);
+		const auto method = std::get<OP::RichardsDGMethod::Type>(settings);
+		const auto upwinding = std::get<OP::RichardsDGUpwinding::Type>(settings);
+		const auto weights = std::get<OP::RichardsDGWeights::Type>(settings);
+
+		slop = std::make_unique<SLOP>(inifile, fparam, fboundary, fsource,
+									  method, upwinding, weights);
 #else
-	slop = std::make_unique<SLOP>(inifile, fparam, fboundary, fsource);
+		slop = std::make_unique<SLOP>(inifile, fparam, fboundary, fsource);
 #endif // EXPERIMENTAL_DG_FEATURES
 
-	tlop = std::make_unique<TLOP>(inifile, fparam);
+		tlop = std::make_unique<TLOP>(inifile, fparam);
+	}
+	else {
+		this->_log->debug("Setting up local grid operators: FV method");
+		slop = std::make_unique<SLOP>(fparam, fboundary);
+		tlop = std::make_unique<TLOP>(fparam);
+	}
+
 	controller = std::make_unique<CalculationController>(
 		inifile, *fboundary, this->_log);
 
@@ -277,22 +288,30 @@ void RichardsSimulation<Traits>::write_data () const
 
 		if (inifile.get<bool>("output.vertexData")) {
 			vtkwriter->addVertexData(head,"head");
-			vtkwriter->addVertexData(wflux,"flux");
 			vtkwriter->addVertexData(cond,"K_0");
 			vtkwriter->addVertexData(wc,"theta_w");
 			vtkwriter->addVertexData(sat,"Theta");
+
+			if constexpr (order > 0) {
+				vtkwriter->addVertexData(wflux, "flux");
+			}
 			if constexpr (enable_rt_engine)
 				if (enable_fluxrc) {
 					auto wfluxr = get_water_flux_reconstructed();
 					auto RT_name = "flux_RT" + std::to_string(flux_order);
 					vtkwriter->addVertexData(wfluxr,RT_name);
 				}
-		} else {
+		}
+		// cell data
+		else {
 			vtkwriter->addCellData(head,"head");
-			vtkwriter->addCellData(wflux,"flux");
 			vtkwriter->addCellData(cond,"K_0");
 			vtkwriter->addCellData(wc,"theta_w");
 			vtkwriter->addCellData(sat,"Theta");
+
+			if constexpr (order > 0) {
+				vtkwriter->addCellData(wflux, "flux");
+			}
 			if constexpr (enable_rt_engine)
 				if (enable_fluxrc) {
 					auto wfluxr = get_water_flux_reconstructed();

dune/dorie/model/richards/richards.hh

@@ -31,7 +31,8 @@
 #include <dune/dorie/model/richards/flow_parameters.hh>
 #include <dune/dorie/model/richards/flow_boundary.hh>
 #include <dune/dorie/model/richards/flow_source.hh>
-#include <dune/dorie/model/richards/local_operator.hh>
+#include <dune/dorie/model/richards/local_operator_DG.hh>
+#include <dune/dorie/model/richards/local_operator_FV.hh>
 
 namespace Dune{
 namespace Dorie{
@@ -59,8 +60,12 @@ struct RichardsSimulationTraits : public BaseTraits
 	using Grid = typename BaseTraits::Grid;
 	using GV = typename BaseTraits::GV;
 
-	/// GFS Helper
-	using GFSHelper = Dune::Dorie::GridFunctionSpaceHelper<GV,RF,order,BaseTraits::GridGeometryType>;
+  /// GFS Helper
+  using GFSHelper = 
+    std::conditional_t<order==0,
+      Dune::Dorie::LinearSolverGridFunctionSpaceHelper<GV,RF,BaseTraits::GridGeometryType>,
+      Dune::Dorie::GridFunctionSpaceHelper<GV,RF,order,BaseTraits::GridGeometryType>>;
+
 	/// Problem GFS
 	using GFS = typename GFSHelper::Type;
 	/// GFS Constraints Container
@@ -88,9 +93,17 @@ struct RichardsSimulationTraits : public BaseTraits
 	/// Class defining the initial condition factory
 	using FlowInitialFactory = Dune::Dorie::RichardsInitialConditionFactory<BaseTraits>;
 	/// Local spatial operator
-	using SLOP = Dune::Dorie::Operator::RichardsDGSpatialOperator<BaseTraits,FlowParameters,FlowBoundary,FlowSource,typename GFSHelper::FEM,false>;
+  using SLOP = 
+    std::conditional_t<order==0,
+      Dune::Dorie::Operator::RichardsFVSpatialOperator<FlowParameters,FlowBoundary>,
+      Dune::Dorie::Operator::RichardsDGSpatialOperator<BaseTraits,FlowParameters,FlowBoundary,FlowSource,typename GFSHelper::FEM,false>>;
+
 	/// Local temporal operator
-	using TLOP = Dune::Dorie::Operator::RichardsDGTemporalOperator<BaseTraits,FlowParameters,typename GFSHelper::FEM,false>;
+  using TLOP = 
+    std::conditional_t<order==0,
+      Dune::Dorie::Operator::RichardsFVTemporalOperator<FlowParameters>,
+      Dune::Dorie::Operator::RichardsDGTemporalOperator<BaseTraits,FlowParameters,typename GFSHelper::FEM,false>>;
+
 	/// Time controller
 	using CalculationController = Dune::Dorie::CalculationController<RF,FlowBoundary>;
 

dune/dorie/model/transport/impl/sim_yasp_2_0.cc

@@ -9,6 +9,7 @@
 namespace Dune{
 namespace Dorie{
 
+template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,0,0>>;
 template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,1,0>>;
 template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,2,0>>;
 template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,3,0>>;

dune/dorie/model/transport/impl/sim_yasp_2_1.cc

@@ -9,6 +9,7 @@
 namespace Dune{
 namespace Dorie{
 
+// template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,0,1>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,1,1>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,2,1>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,3,1>>; +

dune/dorie/model/transport/impl/sim_yasp_2_2.cc

@@ -9,6 +9,7 @@
 namespace Dune{
 namespace Dorie{
 
+// template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,0,2>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,1,2>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,2,2>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,3,2>>; +

dune/dorie/model/transport/impl/sim_yasp_2_3.cc

@@ -9,6 +9,7 @@
 namespace Dune{
 namespace Dorie{
 
+// template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,0,3>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,1,3>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,2,3>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<2>,Geo::cube>,3,3>>; +

dune/dorie/model/transport/impl/sim_yasp_3_0.cc

@@ -9,6 +9,7 @@
 namespace Dune{
 namespace Dorie{
 
+template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,0,0>>;
 template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,1,0>>;
 template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,2,0>>;
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,3,0>>; *

dune/dorie/model/transport/impl/sim_yasp_3_1.cc

@@ -9,6 +9,7 @@
 namespace Dune{
 namespace Dorie{
 
+// template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,0,1>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,1,1>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,2,1>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,3,1>>; *

dune/dorie/model/transport/impl/sim_yasp_3_2.cc

@@ -9,6 +9,7 @@
 namespace Dune{
 namespace Dorie{
 
+// template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,0,2>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,1,2>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,2,2>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,3,2>>; *

dune/dorie/model/transport/impl/sim_yasp_3_3.cc

@@ -9,6 +9,7 @@
 namespace Dune{
 namespace Dorie{
 
+// template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,0,3>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,1,3>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,2,3>>; +
 // template class RichardsTransportCouplingSimulation<RichardsTransportCouplingSimulationTraits<BaseTraits<YaspGrid<3>,Geo::cube>,3,3>>; *

dune/dorie/richards.cc

@@ -142,6 +142,11 @@ int main(int argc, char** argv)
 				else{ // no adaptivity
 					Dune::Dorie::GridCreator<Dune::YaspGrid<2>> grid_creator(inifile, helper);
 					switch(FEorder){
+						case 0:{
+							Sim<Cube<2,0>> sim(richards_config, grid_creator, helper);
+							sim.run();
+							break;
+						}
 						case 1:{
 							Sim<Cube<2,1>> sim(richards_config, grid_creator, helper);
 							sim.run();
@@ -222,6 +227,11 @@ int main(int argc, char** argv)
 				else{ // no adaptivity
 					Dune::Dorie::GridCreator<Dune::YaspGrid<3>> grid_creator(inifile, helper);
 					switch(FEorder){
+						case 0:{
+							Sim<Cube<3,0>> sim(richards_config, grid_creator, helper);
+							sim.run();
+							break;
+						}
 						case 1:{
 							Sim<Cube<3,1>> sim(richards_config, grid_creator, helper);
 							sim.run();

dune/dorie/transport.cc

@@ -177,6 +177,12 @@ using Cube = Dune::Dorie::RichardsTransportCouplingSimulationTraits<Dune::Dorie:
         switch(FEorder_transport){
           case 0:{
             switch (FEorder_richards){
+              case 0:{
+                Sim<Cube<2,0,0>> sim(richards_config,transport_config,grid_creator,helper);
+                sim.set_policy(adapt_policy);
+                sim.run();
+                break;
+              }
               case 1:{
                 Sim<Cube<2,1,0>> sim(richards_config,transport_config,grid_creator,helper);
                 sim.set_policy(adapt_policy);
@@ -292,6 +298,12 @@ using Cube = Dune::Dorie::RichardsTransportCouplingSimulationTraits<Dune::Dorie:
         switch(FEorder_transport){
           case 0:{
             switch (FEorder_richards){
+              case 0:{
+                Sim<Cube<3,0,0>> sim(richards_config,transport_config,grid_creator,helper);
+                sim.set_policy(adapt_policy);
+                sim.run();
+                break;
+              }
               case 1:{
                 Sim<Cube<3,1,0>> sim(richards_config,transport_config,grid_creator,helper);
                 sim.set_policy(adapt_policy);

python/dorie/dorie/testtools/dorie_run/ode.py

@@ -22,10 +22,12 @@ def evaluate(iniinfo,runtime):
     initial_head = float(iniinfo["_ode.headLower"])
     extensions = list(map(float,iniinfo["grid.extensions"].split()))
 
-    do_flux_rt = iniinfo["richards.fluxReconstruction.enable"]
     fe_order = int(iniinfo["richards.numerics.FEorder"])
+    do_flux_rt = iniinfo["richards.fluxReconstruction.enable"]
+    do_flux_grad = fe_order > 0
     if do_flux_rt:
-        flux_rt_key = "flux_RT" + str(fe_order-1)
+        flux_rt_key = "flux_RT" + str(max(0,fe_order-1))
+    
 
     # get parameter data
     param_data = read_yml(iniinfo["richards.parameters.file"])
@@ -119,19 +121,26 @@ def evaluate(iniinfo,runtime):
     plt.savefig("{}/head_residual.png".format(iniinfo["richards.output.outputPath"]))
     plt.close()
 
-    flux = data["flux"][iy,:]
-    res_flux = flux - np.array([0.,influx,0.])[np.newaxis,:]
-    l2_flux = [np.sqrt(average(np.square(r[iy_inv]))) for r in res_flux.T]
-    print("flux L2 errors: {:.2e}, {:.2e}, {:.2e}".format(*l2_flux))
+    # Check matric head
+    head_tol = 1E-5 if not "_ode.head_abstol" in iniinfo else float(iniinfo["_ode.head_abstol"])    
+    passed = bool(l2_head < head_tol)
 
-    plt.figure()
-    plt.plot(y,res_flux)
-    plt.savefig("{}/flux_residual.png".format(iniinfo["richards.output.outputPath"]))
-    plt.close()
+    # Check flux from gradient
+    if do_flux_grad:
+        flux = data["flux"][iy,:]
+        res_flux = flux - np.array([0.,influx,0.])[np.newaxis,:]
+        l2_flux = [np.sqrt(average(np.square(r[iy_inv]))) for r in res_flux.T]
+        print("flux L2 errors: {:.2e}, {:.2e}, {:.2e}".format(*l2_flux))
+
+        plt.figure()
+        plt.plot(y,res_flux)
+        plt.savefig("{}/flux_residual.png".format(iniinfo["richards.output.outputPath"]))
+        plt.close()
 
-    head_tol = 1E-5 if not "_ode.head_abstol" in iniinfo else float(iniinfo["_ode.head_abstol"])
-    flux_tol = abs(influx) * 1e-5 if not "_ode.flux_abstol" in iniinfo else float(iniinfo["_ode.flux_abstol"])
+        flux_tol = abs(influx) * 1e-5 if not "_ode.flux_abstol" in iniinfo else float(iniinfo["_ode.flux_abstol"])
+        passed = passed and all([l < flux_tol for l in l2_flux])
 
+    # Check reconstructed flux
     if do_flux_rt:
         flux_rt = data[flux_rt_key][iy,:]
         res_flux_rt = flux_rt - np.array([0.,influx,0.])[np.newaxis,:]
@@ -145,9 +154,6 @@ def evaluate(iniinfo,runtime):
 
         flux_rt_tol = 1e-13 if not "_ode.flux_rt_abstol" in iniinfo else float(iniinfo["_ode.flux_rt_abstol"])
 
-        return bool(l2_head < head_tol) \
-            and all([l < flux_tol for l in l2_flux]) \
-            and all([l < flux_rt_tol for l in l2_flux_rt])
+        passed = passed and all([l < flux_rt_tol for l in l2_flux_rt])
 
-    # no flux reconstruction
-    return bool(l2_head < head_tol) and all([l < flux_tol for l in l2_flux])
+    return passed

test/maps/create_param_maps.py

@@ -23,6 +23,9 @@ def create_and_write_datasets(args):
     grid_test_3d_bc_back = np.full((10, 10), 2, dtype=np.int_)
     grid_test_3d_bc_back[5:, ...] = 3
 
+    ode_layered_320 = np.zeros((320, 1), dtype=np.int_)
+    ode_layered_320[160:, ...] = 1
+
     ode_layered_160 = np.zeros((160, 1), dtype=np.int_)
     ode_layered_160[80:, ...] = 1
 
@@ -52,6 +55,7 @@ def create_and_write_datasets(args):
     f.create_dataset("grid_test_3d/boundary_front", data=grid_test_3d_bc_front)
     f.create_dataset("grid_test_3d/boundary_back", data=grid_test_3d_bc_back)
 
+    f.create_dataset("ode_layered_320", data=ode_layered_320)
     f.create_dataset("ode_layered_160", data=ode_layered_160)
     f.create_dataset("ode_layered_40", data=ode_layered_40)
     f.create_dataset("ode_layered_20", data=ode_layered_20)

test/ode_homogeneous_sand.mini.in

 include ${CMAKE_BINARY_DIR}/doc/default_files/config.ini
 
-__name = ode_homogeneous_sand
 _test_command = run
 _asset_path = "${CMAKE_CURRENT_LIST_DIR}"
 _evaluation = ode
 
+_order = 0, 1, 2, 3 | expand prec
+__name = ode_homogeneous_sand_k{_order}
+
 [grid]
 gridType = rectangular
 initialLevel = 0
-cells = 1 160, 1 40, 1 20 | expand prec
+cells = 1 320, 1 160, 1 40, 1 20 | expand prec
 
 [richards]
 
-output.fileName = ode_homogeneous_sand | unique
-output.outputPath = ode_homogeneous_sand | unique
+output.fileName = {__name}
+output.outputPath = {__name}
 output.vertexData = false
 
 initial.type = analytic
@@ -31,11 +33,12 @@ NewtonParameters.AbsoluteLimit = 1E-10
 NewtonParameters.Reduction = 1E-10
 
 numerics.penaltyFactor = 10
-numerics.FEorder = 1, 2, 3 | expand prec
+numerics.FEorder = 0, 1, 2, 3 | expand prec
 
 [_ode]
 
-flux = -5.55e-6
 headLower = 0.
-head_abstol = 3E-6, 2E-8, 6E-8 | expand prec
-flux_abstol = 5E-11, 1E-9, 3E-12 | expand prec
+flux = -5.55e-6
+head_abstol = 3E-4, 3E-6, 2E-8, 6E-8 | expand prec
+flux_abstol = 1E100, 5E-11, 1E-9, 3E-12 | expand prec
+flux_rt_abstol = 4E-14
\ No newline at end of file

test/ode_homogeneous_silt.mini.in

 include ${CMAKE_BINARY_DIR}/doc/default_files/config.ini
 
-__name = ode_homogeneous_silt
 _test_command = run
 _asset_path = "${CMAKE_CURRENT_LIST_DIR}"
 _evaluation = ode
 
+_order = 0, 1, 2, 3 | expand prec
+__name = ode_homogeneous_silt_k{_order}
+
 [grid]
 gridType = rectangular
 initialLevel = 0
-cells = 1 160, 1 40, 1 20 | expand prec
+cells = 1 320, 1 160, 1 40, 1 20 | expand prec
 
 [grid.mapping]
 file = none
@@ -16,8 +18,8 @@ volume = 1
 
 [richards]
 
-output.fileName = ode_homogeneous_silt | unique
-output.outputPath = ode_homogeneous_silt | unique
+output.fileName = {__name}
+output.outputPath = {__name}
 output.vertexData = false
 
 initial.type = analytic
@@ -35,11 +37,12 @@ NewtonParameters.AbsoluteLimit = 1E-10
 NewtonParameters.Reduction = 1E-10
 
 numerics.penaltyFactor = 10
-numerics.FEorder = 1, 2, 3 | expand prec
+numerics.FEorder = 0, 1, 2, 3 | expand prec
 
 [_ode]
 
-flux = -5.55e-6
 headLower = 0.
-head_abstol = 6E-6, 4E-6, 9E-6 | expand prec
-flux_abstol = 2E-9, 2E-8, 3E-9 | expand prec
+flux = -5.55e-6
+head_abstol = 7E-5, 6E-6, 4E-6, 9E-6 | expand prec
+flux_abstol = 1E100, 2E-9, 2E-8, 3E-9 | expand prec
+flux_rt_abstol = 4E-14

test/ode_layered.mini.in

 include ${CMAKE_BINARY_DIR}/doc/default_files/config.ini
 
-__name = ode_layered
 _test_command = run
 _asset_path = "${CMAKE_CURRENT_LIST_DIR}"
 _evaluation = ode
 
+_order = 0, 1, 2, 3 | expand prec
+__name = ode_layered_k{_order}
+
 [grid]
 gridType = rectangular
 initialLevel = 0
-cells = 1 160, 1 40, 1 20 | expand prec
+cells = 1 320, 1 160, 1 40, 1 20 | expand prec