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>
date Fri, 18 Jan 2019 09:02:02 +0100
parents 2ef20d00b386
children a8ee5eca0e6c
line wrap: on
line source

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