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view +rv/ResidualViscosity.m @ 1037:2d7ba44340d0 feature/burgers1d
Pass scheme specific parameters as cell array. This will enabale constructDiffOps to be more general. In addition, allow for schemes returning function handles as diffOps, which is currently how non-linear schemes such as Burgers1d are implemented.
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
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date | Fri, 18 Jan 2019 09:02:02 +0100 |
parents | 2ef20d00b386 |
children | a8ee5eca0e6c |
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classdef ResidualViscosity < handle properties Df % Diff op approximating the gradient of the flux f(u) waveSpeed % Wave speed at each grid point, e.g f'(u). %TBD: Better naming? Cmax % Constant controlling relative amount of upwind dissipation Cres % Constant controling relative amount of upwind dissipation h % Length scale used for scaling the viscosity. Typically grid spacing. normalization % Function used to normalize the residual such that it is amplified in the % shocks. end methods % TBD: Decide on how to treat waveSpeed. It would be nice to just pass a constant value without % wrapping it in a function. function obj = ResidualViscosity(Df, waveSpeed, Cmax, Cres, h, normalization) default_arg('normalization',@(v)norm(v-mean(v),inf)); obj.Df = Df; obj.waveSpeed = waveSpeed; obj.h = h; obj.Cmax = Cmax; obj.Cres = Cres; obj.normalization = normalization; end function [viscosity, Df, firstOrderViscosity, residualViscosity] = evaluate(obj, v, dvdt) Df = obj.Df(v); firstOrderViscosity = obj.Cmax*obj.h*abs(obj.waveSpeed(v)); residualViscosity = obj.Cres*obj.h^2*abs(dvdt + Df)/obj.normalization(v); viscosity = min(firstOrderViscosity, residualViscosity); %viscosity = obj.Cmax*obj.h*abs(obj.waveSpeed(v)); end end end