function computing the convective flux $f(u) = v u$ of a convection problem. More...

Functions
function [ flux , lambda ] =	conv_flux_linear ( glob, U, params)
	function computing the convective flux of a convection problem.

Detailed Description

function computing the convective flux $f(u) = v u$ of a convection problem.

Definition in file conv_flux_linear.m.

Function Documentation

function [ flux , lambda ] = conv_flux_linear	(	glob,
		U,
		params
	)

function computing the convective flux $f(u) = v u$ of a convection problem.

Parameters:

glob	a matrix of row vectors for each coordinate dimension of the grid defining the coordinates where the flux function is evaluated, in case it is space dependent, i.e. we have something like .
U	a vector with evaluations of a solution which are passed as an argument to the flux function
params	a structure with model parameters

Return values:

flux	a matrix which entries $F_{ji}$ represent the -th component of the flux vector $f(u(x_{j}))$ in the edge midpoint $x_{j}$ given by the `glob` argument.
lambda	a bound such that $\lambda \cdot \sup_u n_{jl} \cdot f'(u) \leq 1$ e.g. $\lambda := \frac{1}{\sup\|v(x,y)\|}$ for $f(u) = v \cdot u$ . This is value only reasonable in `decomp_mode==0`, otherwise an empty variable is returned.

Required fields of params:

t — real time value in case of time-dependent flux
velocity_ptr — pointer to function providing the velocity field .
debug — flag indicating wether debug output shall be turned on
decomp_mode — flag indicating the operation mode of the function:
- 0 (complete) : no affine parameter dependence or decomposition is performed.
- 1 (components) : for each output argument a cell array of output matrices is returned representing the -th component independent of the parameters given in mu_names.
- 2 (coefficients) : returns a vector where each coordinate represents the -the coefficient $\sigma_{\cdot}^{q}(\mu)$ dependent on the parameters given in mu_names.

dummy

Definition at line 1 of file conv_flux_linear.m.