dune-pdelab
2.7-git
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A local operator for the Navier-Stokes equations. More...
#include <dune/pdelab/localoperator/taylorhoodnavierstokes.hh>
Public Types | |
enum | { doPatternVolume = true } |
enum | { doAlphaVolume = true } |
enum | { doLambdaVolume = true } |
enum | { doLambdaBoundary = true } |
using | BC = StokesBoundaryCondition |
Boundary condition indicator type. More... | |
using | InstatBase = InstationaryLocalOperatorDefaultMethods< typename P::Traits::RangeField > |
using | Real = typename InstatBase::RealType |
using | PhysicalParameters = P |
typedef P::Traits::RangeField | RealType |
Flags for the sparsity pattern | |
enum | { doPatternVolume } |
Whether to assemble the pattern on the elements, i.e. whether or not pattern_volume() should be called. More... | |
enum | { doPatternVolumePostSkeleton } |
Whether to assemble the pattern on the elements after the skeleton has been handled, i.e. whether or not pattern_volume_post_skeleton() should be called. More... | |
enum | { doPatternSkeleton } |
Whether to assemble the pattern on the interior intersections, i.e. whether or not pattern_skeleton() should be called. More... | |
enum | { doPatternBoundary } |
Whether to assemble the pattern on the boundary intersections, i.e. whether or not pattern_boundary() should be called. More... | |
Flags for the non-constant part of the residual and the jacobian | |
enum | { doAlphaVolume } |
Whether to call the local operator's alpha_volume(), jacobian_apply_volume() and jacobian_volume(). More... | |
enum | { doAlphaVolumePostSkeleton } |
Whether to call the local operator's alpha_volume_post_skeleton(), jacobian_apply_volume_post_skeleton() and jacobian_volume_post_skeleton(). More... | |
enum | { doAlphaSkeleton } |
Whether to call the local operator's alpha_skeleton(), jacobian_apply_skeleton() and jacobian_skeleton(). More... | |
enum | { doAlphaBoundary } |
Whether to call the local operator's alpha_boundary(), jacobian_apply_boundary() and jacobian_boundary(). More... | |
Flags for the constant part of the residual | |
enum | { doLambdaVolume } |
Whether to call the local operator's lambda_volume(). More... | |
enum | { doLambdaVolumePostSkeleton } |
Whether to call the local operator's lambda_volume_post_skeleton(). More... | |
enum | { doLambdaSkeleton } |
Whether to call the local operator's lambda_skeleton(). More... | |
enum | { doLambdaBoundary } |
Whether to call the local operator's lambda_boundary(). More... | |
Special flags | |
enum | { doSkeletonTwoSided } |
Whether to visit the skeleton methods from both sides. More... | |
enum | { isLinear } |
Wheter the local operator describes a linear problem. More... | |
Public Member Functions | |
TaylorHoodNavierStokes (PhysicalParameters &p, int superintegration_order_=0) | |
void | setTime (Real t) |
template<typename EG , typename LFSU , typename X , typename LFSV , typename R > | |
void | alpha_volume (const EG &eg, const LFSU &lfsu, const X &x, const LFSV &lfsv, R &r) const |
template<typename EG , typename LFSV , typename R > | |
void | lambda_volume (const EG &eg, const LFSV &lfsv, R &r) const |
template<typename IG , typename LFSV , typename R > | |
void | lambda_boundary (const IG &ig, const LFSV &lfsv, R &r) const |
template<typename EG , typename LFSU , typename X , typename LFSV , typename M > | |
void | jacobian_volume (const EG &eg, const LFSU &lfsu, const X &x, const LFSV &lfsv, M &mat) const |
template<typename LFSU , typename LFSV , typename LocalPattern > | |
void | pattern_volume (const LFSU &lfsu, const LFSV &lfsv, LocalPattern &pattern) const |
void | setTime (P::Traits::RangeField t_) |
set time for subsequent evaluation More... | |
P::Traits::RangeField | getTime () const |
get current time More... | |
void | preStep (RealType time, RealType dt, int stages) |
to be called once before each time step More... | |
void | postStep () |
to be called once at the end of each time step More... | |
void | preStage (RealType time, int r) |
to be called once before each stage More... | |
int | getStage () const |
get current stage More... | |
void | postStage () |
to be called once at the end of each stage More... | |
RealType | suggestTimestep (RealType dt) const |
to be called after stage 1 More... | |
Static Public Attributes | |
static const bool | navier = P::assemble_navier |
static const bool | full_tensor = P::assemble_full_tensor |
A local operator for the Navier-Stokes equations.
This class implements a local operator for conforming finite element discretizations of the Navier-Stokes equations with TaylorHood basis.
As indicated in the equation above, this implementation utilizes only scalar Neumann conditions.
P | A suitable parameter class with the interface of TaylorHoodNavierStokesDefaultParameters |
using Dune::PDELab::TaylorHoodNavierStokes< P >::BC = StokesBoundaryCondition |
Boundary condition indicator type.
using Dune::PDELab::TaylorHoodNavierStokes< P >::InstatBase = InstationaryLocalOperatorDefaultMethods<typename P::Traits::RangeField> |
using Dune::PDELab::TaylorHoodNavierStokes< P >::PhysicalParameters = P |
using Dune::PDELab::TaylorHoodNavierStokes< P >::Real = typename InstatBase::RealType |
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inherited |
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inherited |
Whether to assemble the pattern on the elements, i.e. whether or not pattern_volume() should be called.
Enumerator | |
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doPatternVolume |
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inherited |
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inherited |
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inherited |
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inherited |
Whether to call the local operator's alpha_volume(), jacobian_apply_volume() and jacobian_volume().
Enumerator | |
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doAlphaVolume |
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inherited |
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inherited |
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inherited |
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inherited |
Whether to call the local operator's lambda_volume().
Enumerator | |
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doLambdaVolume |
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inherited |
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inherited |
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inherited |
Whether to call the local operator's lambda_boundary().
Enumerator | |
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doLambdaBoundary |
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inherited |
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inline |
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inline |
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inlineinherited |
get current stage
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inlineinherited |
get current time
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inline |
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inline |
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inline |
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inlineinherited |
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inlineinherited |
to be called once at the end of each stage
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inlineinherited |
to be called once at the end of each time step
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inlineinherited |
to be called once before each stage
time | Time of the stage |
r | Number of the stage, r ∈ [1, nstages] inclusive, where nstages is the number of stage in the step given in the previous call to preStep() |
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inlineinherited |
to be called once before each time step
time | Time at beginning of the step. |
dt | Size of time step. |
stages | Number of stages to do in the step. For the MultiStepMethod this is always 1. |
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inlineinherited |
set time for subsequent evaluation
This method set the time for subsequent calls to the alpha_*(), lambda_*(), jacobian_*() and jacobian_apply_*() methods.
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inline |
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inlineinherited |
to be called after stage 1
This may be called on the spatial local operator in the case of an explicit one step scheme. It is called after stage 1 has been assembled (so the time given to preStep() may not apply anymore in this case). All the alpha_*() and lambda_*() methods should have been called, so they are a good place to generate the information returned here.
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static |
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static |