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A compositional multi-phase model based on non-linear complementarity functions. More...
#include <ncpmodel.hh>
Public Member Functions | |
NcpModel (Simulator &simulator) | |
void | finishInit () |
Apply the initial conditions to the model. | |
void | adaptGrid () |
std::string | primaryVarName (unsigned pvIdx) const |
Given an primary variable index, return a human readable name. | |
std::string | eqName (unsigned eqIdx) const |
Given an equation index, return a human readable name. | |
void | updateBegin () |
Called by the update() method before it tries to apply the newton method. | |
void | updatePVWeights (const ElementContext &elemCtx) const |
Update the weights of all primary variables within an element given the complete set of intensive quantities. | |
Scalar | primaryVarWeight (unsigned globalDofIdx, unsigned pvIdx) const |
Returns the relative weight of a primary variable for calculating relative errors. | |
Scalar | eqWeight (unsigned globalDofIdx, unsigned eqIdx) const |
Returns the relative weight of an equation. | |
Scalar | minActivityCoeff (unsigned globalDofIdx, unsigned compIdx) const |
Returns the smallest activity coefficient of a component for the most current solution at a vertex. | |
void | registerOutputModules_ () |
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MultiPhaseBaseModel (Simulator &simulator) | |
bool | phaseIsConsidered (unsigned) const |
Returns true iff a fluid phase is used by the model. | |
void | globalPhaseStorage (EqVector &storage, unsigned phaseIdx) |
Compute the total storage inside one phase of all conservation quantities. | |
void | registerOutputModules_ () |
Static Public Member Functions | |
static void | registerParameters () |
Register all run-time parameters for the immiscible model. | |
static std::string | name () |
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static void | registerParameters () |
Register all run-time parameters for the immiscible model. | |
Public Attributes | |
Scalar | referencePressure_ |
std::vector< ComponentVector > | minActivityCoeff_ |
A compositional multi-phase model based on non-linear complementarity functions.
This model implements a
By default, the standard multi-phase Darcy approach is used to determine the velocity, i.e.
although the actual approach which is used can be specified via the FluxModule
property. For example, the velocity model can by changed to the Forchheimer approach by
The core of the model is the conservation mass of each component by means of the equation
For the missing
Also, if a fluid phase may be present at a given spatial location its saturation must be non-negative:
Since at any given spatial location, a phase is always either present or not present, one of the strict equalities on the right hand side is always true, i.e.
always holds.
These three equations constitute a non-linear complementarity problem, which can be solved using so-called non-linear complementarity functions
Several non-linear complementarity functions have been suggested, e.g. the Fischer-Burmeister function
This model uses
because of its piecewise linearity.
The model assumes local thermodynamic equilibrium and uses the following primary variables:
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Given an equation index, return a human readable name.
eqIdx | The index of the conservation equation of interest. |
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Returns the relative weight of an equation.
globalVertexIdx | The global index of the vertex |
eqIdx | The index of the equation |
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Apply the initial conditions to the model.
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Returns the smallest activity coefficient of a component for the most current solution at a vertex.
globalDofIdx | The global index of the vertex (i.e. finite volume) of interest. |
compIdx | The index of the component of interest. |
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Given an primary variable index, return a human readable name.
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.
globalDofIdx | The global index of the degree of freedom |
pvIdx | The index of the primary variable |
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Called by the update() method before it tries to apply the newton method.
This is primary a hook which the actual model can overload.
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Update the weights of all primary variables within an element given the complete set of intensive quantities.