Implementation details for Brusselator_scheme::prePattern_loop(). More...

#include <brusselator_algo_impl.h>

Collaboration diagram for Esfem::PrePattern_helper:

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Public Member Functions
	PrePattern_helper (Brusselator_scheme &)
	Modifies private data members of `Brusselator_scheme`

void	rhs ()
	Adds to member `rhs_les` from `Brusselator_scheme::fef.u` and `Brusselator_scheme::fef.w` More...

void	solve_pde ()
	New value for member `fun` from `Brusselator_scheme::fef.u` and `Brusselator_scheme::fef.w` More...

void	prepare_rhs ()
	New value for member `rhs_les` from `Brusselator_scheme::fef.u` and `Brusselator_scheme::fef.w` More...

void	plot_paraview ()
	Prints out `fun` of `Brusselator_scheme::fef.u` and `Brusselator_scheme::fef.w`.

Private Attributes
Brusselator_scheme::Io &	io
	Reference to `Brusselator_scheme::io`

Grid::Scal_FEfun_set &	u
	Reference to `Brusselator_scheme::fef.u`

Grid::Scal_FEfun_set &	w
	Reference to `Brusselator_scheme::fef.w`

const Dune::Fem::TimeProviderBase &	tp

Io::Paraview	paraview
	Has reference to member `fun` from `u` and `w`

Scalar_solver	solver
	Brusselator solver.

Detailed Description

Implementation details for Brusselator_scheme::prePattern_loop().

Definition at line 108 of file brusselator_algo_impl.h.

Member Function Documentation

void PrePattern_helper::prepare_rhs ( )

New value for member rhs_les from Brusselator_scheme::fef.u and Brusselator_scheme::fef.w

rhs_les will have the following value for $u$ respectively $w$ :

$\begin{equation*} (M\nodalValue{u})^n \quad \lor\quad (M \nodalValue{w})^n. \end{equation*}$

Definition at line 135 of file brusselator_algo_impl.cpp.

void PrePattern_helper::rhs ( )

Adds to member rhs_les from Brusselator_scheme::fef.u and Brusselator_scheme::fef.w

The new value of rhs_les from Brusselator_scheme::fef.u respectively Brusselator_scheme::fef.w will be

$\begin{gather*} (M\nodalValue{u})^n + \tau \gamma a M^{n+1} \nodalValue{1}, \\ (M\nodalValue{w})^n + \tau \gamma b M^{n+1} \nodalValue{1}. \end{gather*}$

Note that the surface is not changing at this stage.

Definition at line 123 of file brusselator_algo_impl.cpp.

void PrePattern_helper::solve_pde ( )

New value for member fun from Brusselator_scheme::fef.u and Brusselator_scheme::fef.w

We assume that the rhs_les has been prepared with finalize_rhs(). The vaule of fun will be overwritten with the solution of the following system for $u$ and $w$ :

$\begin{gather*} (1+ \tau \gamma) (M\nodalValue{u})^{n+1} + \tau (A \nodalValue{u})^{n+1} - \tau \gamma M^{n+1}(\nodalValue{u}^n, \nodalValue{w}^n) \nodalValue{u}^{n+1} = \nodalValue{y}_{1}, \\ (M\nodalValue{w})^{n+1} + \tau D_c (A \nodalValue{w})^{n+1} + \tau \gamma M^{n+1}(\nodalValue{u}^{n+1}, \nodalValue{u}^{n+1}) \nodalValue{w}^{n+1} = \nodalValue{y}_{2}, \end{gather*}$

where $\nodalValue{y}_{1,2}$ the right-hand side of the system is.

Definition at line 129 of file brusselator_algo_impl.cpp.

Member Data Documentation

const Dune::Fem::TimeProviderBase& Esfem::PrePattern_helper::tp

private

From Brusselator_scheme::fix_grid

Definition at line 167 of file brusselator_algo_impl.h.

The documentation for this class was generated from the following files:

src/brusselator_algo_impl.h
src/brusselator_algo_impl.cpp

Public Member Functions

Private Attributes

Detailed Description

Member Function Documentation

Member Data Documentation