Isothermal NAPL infiltration problem: LNAPL contaminates the unsaturated and the saturated groundwater zone. More...
#include <test/porousmediumflow/3p/implicit/infiltration/problem.hh>
Isothermal NAPL infiltration problem: LNAPL contaminates the unsaturated and the saturated groundwater zone.
The 2D domain of this test problem is 500m long and 10m deep, where the lower part represents a slightly inclined groundwater table, and the upper part is the vadose zone. A LNAPL (Non-Aqueous Phase Liquid which is lighter than water) infiltrates (modelled with a Neumann boundary condition) into the vadose zone. Upon reaching the water table, it spreads (since lighter than water) and migrates on top of the water table in the direction of the slope. On its way through the vadose zone, it leaves a trace of residually trapped immobile NAPL, which can in the following dissolve and evaporate slowly, and eventually be transported by advection and diffusion.
Left and right boundaries are constant head boundaries (Dirichlet), Top and bottom are Neumann boundaries, all no-flow except for the small infiltration zone in the upper left part.
This problem uses the 3p.
This problem should typically be simulated for 30 days. A good choice for the initial time step size is 60s. To adjust the simulation time it is necessary to edit the file naplinfiltrationexercise.input
To run the simulation execute the following line in shell: ./naplinfiltrationexercise -parameterFile naplinfiltrationexercise.input
Public Types | |
using | SpatialParams = GetPropType< TypeTag, Properties::SpatialParams > |
Export spatial parameter type. More... | |
Public Member Functions | |
InfiltrationThreePProblem (std::shared_ptr< const GridGeometry > gridGeometry) | |
void | setName (const std::string &newName) |
Set the problem name. More... | |
Problem parameters | |
void | setTime (Scalar time) |
const std::string & | name () const |
The problem name. More... | |
Scalar | temperatureAtPos (const GlobalPosition &globalPos) const |
Returns the temperature within the domain. More... | |
Boundary conditions | |
BoundaryTypes | boundaryTypesAtPos (const GlobalPosition &globalPos) const |
Specifies which kind of boundary condition should be used for which equation on a given boundary segment. More... | |
PrimaryVariables | dirichletAtPos (const GlobalPosition &globalPos) const |
Evaluates the boundary conditions for a Dirichlet boundary segment. More... | |
NumEqVector | neumannAtPos (const GlobalPosition &globalPos) const |
Evaluates the boundary conditions for a Neumann boundary segment. More... | |
Volume terms | |
PrimaryVariables | initialAtPos (const GlobalPosition &globalPos) const |
Evaluates the initial value for a control volume. More... | |
Scalar | temperature () const |
Returns the temperature within the domain. More... | |
Physical parameters for porous media problems | |
const GravityVector & | gravityAtPos (const GlobalPosition &pos) const |
Returns the acceleration due to gravity \(\mathrm{[m/s^2]}\). More... | |
const GravityVector & | gravity () const |
Returns the acceleration due to gravity \(\mathrm{[m/s^2]}\). More... | |
SpatialParams & | spatialParams () |
Returns the spatial parameters object. More... | |
const SpatialParams & | spatialParams () const |
Returns the spatial parameters object. More... | |
GravityVector | gravity_ |
The gravity acceleration vector. More... | |
std::shared_ptr< SpatialParams > | spatialParams_ |
Boundary conditions and sources defining the problem | |
BoundaryTypes | boundaryTypes (const Element &element, const SubControlVolume &scv) const |
Specifies which kind of boundary condition should be used for which equation on a given boundary segment. More... | |
BoundaryTypes | boundaryTypes (const Element &element, const SubControlVolumeFace &scvf) const |
Specifies which kind of boundary condition should be used for which equation on a given boundary segment. More... | |
PrimaryVariables | dirichlet (const Element &element, const SubControlVolumeFace &scvf) const |
Evaluate the boundary conditions for a dirichlet control volume face. More... | |
PrimaryVariables | dirichlet (const Element &element, const SubControlVolume &scv) const |
Evaluate the boundary conditions for a dirichlet control volume. More... | |
NumEqVector | neumann (const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &elemVolVars, const ElementFluxVariablesCache &elemFluxVarsCache, const SubControlVolumeFace &scvf) const |
Evaluate the boundary conditions for a neumann boundary segment. More... | |
NumEqVector | source (const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &elemVolVars, const SubControlVolume &scv) const |
Evaluate the source term for all phases within a given sub-control-volume. More... | |
NumEqVector | sourceAtPos (const GlobalPosition &globalPos) const |
Evaluate the source term for all phases within a given sub-control-volume. More... | |
void | addPointSources (std::vector< PointSource > &pointSources) const |
Applies a vector of point sources. The point sources are possibly solution dependent. More... | |
void | pointSource (PointSource &source, const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &elemVolVars, const SubControlVolume &scv) const |
Evaluate the point sources (added by addPointSources) for all phases within a given sub-control-volume. More... | |
void | pointSourceAtPos (PointSource &pointSource, const GlobalPosition &globalPos) const |
Evaluate the point sources (added by addPointSources) for all phases within a given sub-control-volume. More... | |
template<class MatrixBlock > | |
void | addSourceDerivatives (MatrixBlock &block, const Element &element, const FVElementGeometry &fvGeometry, const VolumeVariables &volVars, const SubControlVolume &scv) const |
Add source term derivative to the Jacobian. More... | |
NumEqVector | scvPointSources (const Element &element, const FVElementGeometry &fvGeometry, const ElementVolumeVariables &elemVolVars, const SubControlVolume &scv) const |
Adds contribution of point sources for a specific sub control volume to the values. Caution: Only overload this method in the implementation if you know what you are doing. More... | |
void | computePointSourceMap () |
Compute the point source map, i.e. which scvs have point source contributions. More... | |
const PointSourceMap & | pointSourceMap () const |
Get the point source map. It stores the point sources per scv. More... | |
void | applyInitialSolution (SolutionVector &sol) const |
Applies the initial solution for all degrees of freedom of the grid. More... | |
template<class Entity > | |
PrimaryVariables | initial (const Entity &entity) const |
Evaluate the initial value for an element (for cell-centered models) or vertex (for box / vertex-centered models) More... | |
template<class ElementSolution > | |
Scalar | extrusionFactor (const Element &element, const SubControlVolume &scv, const ElementSolution &elemSol) const |
Return how much the domain is extruded at a given sub-control volume. More... | |
Scalar | extrusionFactorAtPos (const GlobalPosition &globalPos) const |
Return how much the domain is extruded at a given position. More... | |
const GridGeometry & | fvGridGeometry () const |
The finite volume grid geometry. More... | |
const GridGeometry & | gridGeometry () const |
The finite volume grid geometry. More... | |
const std::string & | paramGroup () const |
The parameter group in which to retrieve runtime parameters. More... | |
static constexpr bool | enableInternalDirichletConstraints () |
If internal Dirichlet contraints are enabled Enables / disables internal (non-boundary) Dirichlet constraints. If this is overloaded to return true, the assembler calls problem.hasInternalDirichletConstraint(element, scv). This means you have to implement the following member function. More... | |
Implementation & | asImp_ () |
Returns the implementation of the problem (i.e. static polymorphism) More... | |
const Implementation & | asImp_ () const |
Returns the implementation of the problem (i.e. static polymorphism) More... | |
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inherited |
Export spatial parameter type.
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inline |
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inlineinherited |
Applies a vector of point sources. The point sources are possibly solution dependent.
pointSources | A vector of PointSource s that contain source values for all phases and space positions. |
For this method, the values method of the point source has to return the absolute rate values in units \( [ \textnormal{unit of conserved quantity} / s ] \). Positive values mean that the conserved quantity is created, negative ones mean that it vanishes. E.g. for the mass balance that would be a mass rate in \( [ kg / s ] \).
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inlineinherited |
Add source term derivative to the Jacobian.
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inlineinherited |
Applies the initial solution for all degrees of freedom of the grid.
sol | the initial solution vector |
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inlineprotectedinherited |
Returns the implementation of the problem (i.e. static polymorphism)
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inlineprotectedinherited |
Returns the implementation of the problem (i.e. static polymorphism)
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inlineinherited |
Specifies which kind of boundary condition should be used for which equation on a given boundary segment.
element | The finite element |
scv | The sub control volume |
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inlineinherited |
Specifies which kind of boundary condition should be used for which equation on a given boundary segment.
element | The finite element |
scvf | The sub control volume face |
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inline |
Specifies which kind of boundary condition should be used for which equation on a given boundary segment.
globalPos | The position for which the bc type should be evaluated |
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inlineinherited |
Compute the point source map, i.e. which scvs have point source contributions.
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inlineinherited |
Evaluate the boundary conditions for a dirichlet control volume.
element | The finite element |
scv | the sub control volume |
The method returns the boundary types information.
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inlineinherited |
Evaluate the boundary conditions for a dirichlet control volume face.
element | The finite element |
scvf | the sub control volume face |
The method returns the boundary types information.
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inline |
Evaluates the boundary conditions for a Dirichlet boundary segment.
globalPos | The position for which the bc type should be evaluated |
For this method, the values parameter stores primary variables.
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inlinestaticconstexprinherited |
If internal Dirichlet contraints are enabled Enables / disables internal (non-boundary) Dirichlet constraints. If this is overloaded to return true, the assembler calls problem.hasInternalDirichletConstraint(element, scv). This means you have to implement the following member function.
bool hasInternalDirichletConstraint(const Element& element, const SubControlVolume& scv) const;
which returns a bool signifying whether the dof associated with the element/scv pair is contraint. If true is returned for a dof, the assembler calls problem.internalDiririchlet(element, scv). This means you have to additionally implement the following member function
PrimaryVariables internalDiririchlet(const Element& element, const SubControlVolume& scv) const;
which returns the enforced Dirichlet values the dof associated with the element/scv pair.
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inlineinherited |
Return how much the domain is extruded at a given sub-control volume.
This means the factor by which a lower-dimensional (1D or 2D) entity needs to be expanded to get a full dimensional cell. The default is 1.0 which means that 1D problems are actually thought as pipes with a cross section of 1 m^2 and 2D problems are assumed to extend 1 m to the back.
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inlineinherited |
Return how much the domain is extruded at a given position.
This means the factor by which a lower-dimensional (1D or 2D) entity needs to be expanded to get a full dimensional cell. The default is 1.0 which means that 1D problems are actually thought as pipes with a cross section of 1 m^2 and 2D problems are assumed to extend 1 m to the back.
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inlineinherited |
The finite volume grid geometry.
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inlineinherited |
Returns the acceleration due to gravity \(\mathrm{[m/s^2]}\).
This method is used for problems where the gravitational acceleration does not depend on the spatial position. The default behaviour is that if the ProblemEnableGravity
property is true, \(\boldsymbol{g} = ( 0,\dots,\ -9.81)^T \) holds, else \(\boldsymbol{g} = ( 0,\dots, 0)^T \).
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inlineinherited |
Returns the acceleration due to gravity \(\mathrm{[m/s^2]}\).
This is discretization independent interface. By default it just calls gravity().
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inlineinherited |
The finite volume grid geometry.
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inlineinherited |
Evaluate the initial value for an element (for cell-centered models) or vertex (for box / vertex-centered models)
entity | The dof entity (element or vertex) |
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inline |
Evaluates the initial value for a control volume.
globalPos | The position for which the initial condition should be evaluated |
For this method, the values parameter stores primary variables.
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inline |
The problem name.
This is used as a prefix for files generated by the simulation.
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inlineinherited |
Evaluate the boundary conditions for a neumann boundary segment.
This is the method for the case where the Neumann condition is potentially solution dependent
element | The finite element |
fvGeometry | The finite-volume geometry |
elemVolVars | All volume variables for the element |
elemFluxVarsCache | Flux variables caches for all faces in stencil |
scvf | The sub control volume face |
Negative values mean influx. E.g. for the mass balance that would be the mass flux in \( [ kg / (m^2 \cdot s)] \).
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inline |
Evaluates the boundary conditions for a Neumann boundary segment.
globalPos | The position of the integration point of the boundary segment. |
For this method, the values parameter stores the mass flux in normal direction of each phase. Negative values mean influx.
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inlineinherited |
The parameter group in which to retrieve runtime parameters.
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inlineinherited |
Evaluate the point sources (added by addPointSources) for all phases within a given sub-control-volume.
This is the method for the case where the point source is solution dependent
source | A single point source |
element | The finite element |
fvGeometry | The finite-volume geometry |
elemVolVars | All volume variables for the element |
scv | The sub control volume |
For this method, the values() method of the point sources returns the absolute conserved quantity rate generated or annihilate in units \( [ \textnormal{unit of conserved quantity} / s ] \). Positive values mean that the conserved quantity is created, negative ones mean that it vanishes. E.g. for the mass balance that would be a mass rate in \( [ kg / s ] \).
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inlineinherited |
Evaluate the point sources (added by addPointSources) for all phases within a given sub-control-volume.
This is the method for the case where the point source is space dependent
pointSource | A single point source |
globalPos | The point source position in global coordinates |
For this method, the values() method of the point sources returns the absolute conserved quantity rate generated or annihilate in units \( [ \textnormal{unit of conserved quantity} / s ] \). Positive values mean that the conserved quantity is created, negative ones mean that it vanishes. E.g. for the mass balance that would be a mass rate in \( [ kg / s ] \).
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inlineinherited |
Get the point source map. It stores the point sources per scv.
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inlineinherited |
Adds contribution of point sources for a specific sub control volume to the values. Caution: Only overload this method in the implementation if you know what you are doing.
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inlineinherited |
Set the problem name.
This static method sets the simulation name, which should be called before the application problem is declared! If not, the default name "sim" will be used.
newName | The problem's name |
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inline |
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inlineinherited |
Evaluate the source term for all phases within a given sub-control-volume.
This is the method for the case where the source term is potentially solution dependent and requires some quantities that are specific to the fully-implicit method.
element | The finite element |
fvGeometry | The finite-volume geometry |
elemVolVars | All volume variables for the element |
scv | The sub control volume |
For this method, the return parameter stores the conserved quantity rate generated or annihilate per volume unit. Positive values mean that the conserved quantity is created, negative ones mean that it vanishes. E.g. for the mass balance that would be a mass rate in \( [ kg / (m^3 \cdot s)] \).
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inlineinherited |
Evaluate the source term for all phases within a given sub-control-volume.
globalPos | The position of the center of the finite volume for which the source term ought to be specified in global coordinates |
For this method, the values parameter stores the conserved quantity rate generated or annihilate per volume unit. Positive values mean that the conserved quantity is created, negative ones mean that it vanishes. E.g. for the mass balance that would be a mass rate in \( [ kg / (m^3 \cdot s)] \).
As a default, i.e. if the user's problem does not overload any source method return 0.0 (no source terms)
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inlineinherited |
Returns the spatial parameters object.
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inlineinherited |
Returns the spatial parameters object.
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inline |
Returns the temperature within the domain.
This problem assumes a uniform temperature of 10 degrees Celsius.
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inline |
Returns the temperature within the domain.
globalPos | The global position |
This problem assumes a temperature of 10 degrees Celsius.
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protectedinherited |
The gravity acceleration vector.
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protectedinherited |