conv_flux_burgers_parabola.m File Reference

convective flux of a Burgers problem More...

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Functions
function [ flux , lambda ] =	conv_flux_burgers_parabola (glob, U, params)
	convective flux of a Burgers problem More...

Detailed Description

convective flux of a Burgers problem

Definition in file conv_flux_burgers_parabola.m.

Function Documentation

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

convective flux of a Burgers problem

function computing the convective flux of a Burgers problem with parabolic velocity field times \(u^2\) rotated by an arbitrary angle around the point (0.5,0.5).

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().

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 \(f(u,x)\).
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

Return values

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 in decomp_mode==0, otherwise an empty variable is returned.

Required fields of params:

• debug —  flag indicating wether debug output shall be turned on
• vrot_angle —  vrot angle
• vmax —  vmax
• flux_pdeg —  flux pdeg

dummy

Definition at line 17 of file conv_flux_burgers_parabola.m.