A model for the Navier-Stokes equations. More...
#include <stokesmodel.hh>
Public Member Functions | |
| StokesModel (Simulator &simulator) | |
| bool | phaseIsConsidered (int phaseIdxQueried) const |
| Returns true iff a fluid phase is used by the model. More... | |
| std::string | primaryVarName (int pvIdx) const |
| Given an primary variable index, return a human readable name. More... | |
| std::string | eqName (int eqIdx) const |
| Given an equation index, return a human readable name. More... | |
| Scalar | primaryVarWeight (int globalDofIdx, int pvIdx) const |
| Returns the relative weight of a primary variable for calculating relative errors. More... | |
| void | prepareOutputFields () const |
| Prepare the quantities relevant for the current solution to be appended to the output writers. More... | |
| void | appendOutputFields (BaseOutputWriter &writer) const |
| Append the quantities relevant for the current solution to an output writer. More... | |
Detailed Description
template<class TypeTag>
class Ewoms::StokesModel< TypeTag >
A model for the Navier-Stokes equations.
This model implements Navier-Stokes flow of a single fluid. By default, it solves the momentum balance of the time-dependent Stokes equations, i.e.
![\[ \frac{\partial \left(\varrho\,\mathbf{v}\right)} {\partial t} + \boldsymbol{\nabla} p - \nabla \cdot \left( \mu \left(\boldsymbol{\nabla} \mathbf{v} + \boldsymbol{\nabla} *\mathbf{v}^T\right) \right) - \varrho\,\mathbf{g} = 0\;, \]](form_114.png)
and the mass balance equation
![\[ \frac{\partial \varrho}{\partial t} + \nabla \cdot\left(\varrho\,\mathbf{v}\right) - q = 0 \;. \]](form_115.png)
If the property EnableNavierStokes is set to true, an additional convective momentum flux term (Navier term) gets included into the momentum conservation equations which allows to capture turbolent flow regimes. This additional term is given by
![\[ \varrho \left(\mathbf{v} \cdot \boldsymbol{\nabla} \right) \mathbf{v} \;. \]](form_116.png)
These equations are discretized by a fully-coupled vertex-centered finite volume scheme in space and using the implicit Euler method in time. Be aware, that this discretization scheme is quite unstable for the Navier-Stokes equations and quickly leads to unphysical oscillations in the calculated solution. We intend to use a more appropriate discretization scheme in the future, though.
Constructor & Destructor Documentation
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Member Function Documentation
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Append the quantities relevant for the current solution to an output writer.
References Ewoms::VtkMultiWriter< GridView, vtkFormat >::allocateManagedScalarBuffer(), Ewoms::VtkMultiWriter< GridView, vtkFormat >::allocateManagedVectorBuffer(), Ewoms::VtkMultiWriter< GridView, vtkFormat >::attachScalarVertexData(), and Ewoms::VtkMultiWriter< GridView, vtkFormat >::attachVectorVertexData().
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Given an equation index, return a human readable name.
- Parameters
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eqIdx The index of the conservation equation of interest.
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Returns true iff a fluid phase is used by the model.
- Parameters
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phaseIdxQueried The index of the fluid phase in question
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Prepare the quantities relevant for the current solution to be appended to the output writers.
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inline |
Given an primary variable index, return a human readable name.
- Parameters
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pvIdx The index of the primary variable of interest.
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Returns the relative weight of a primary variable for calculating relative errors.
- Parameters
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globalDofIdx The global index of the degree of freedom pvIdx The index of the primary variable
The documentation for this class was generated from the following file: