function computing the convective flux of a Burgers problem. More...
Go to the source code of this file.
Functions | |
function [
flux , lambda ] = | conv_flux_burgers (glob, U, params) |
function computing the convective flux of a Burgers problem. More... | |
function computing the convective flux of a Burgers problem.
Definition in file conv_flux_burgers.m.
function [ flux , lambda ] = conv_flux_burgers | ( | glob, | |
U, | |||
params | |||
) |
function computing the convective flux of a Burgers problem.
flux
is a 2xnpoints
matrix, representing the x
/y
-coordinates of the velocity in the edge midpoints.
Convective flux functions are used e.g. by finite folume operators like fv_operators_conv_explicit_lax_friedrichs() or fv_num_conv_flux_engquist_osher().
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 \(f(u,x)\). |
U | a vector with evaluations of a solution \(u\) which are passed as an argument to the flux function \(f\) |
params | a structure with model parameters |
flux | a matrix which entries \(F_{ji}\) represent the \(i\)-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 indecomp_mode==0 , otherwise an empty variable is returned. |
flux_vx —
x coordinate of flux vector flux_vy —
y coordinate of flux vector flux_pdeg —
exponent \(e\) in Burgers term \(f(u) = v \cdot u^e\) debug —
flag indicating wether debug output shall be turned on verbose —
flag indicating the verbosity level of informative outputDefinition at line 17 of file conv_flux_burgers.m.