view +rv/ResidualViscosity.m @ 1031:2ef20d00b386 feature/advectionRV

For easier comparison, return both the first order and residual viscosity when evaluating the residual. Add the first order and residual viscosity to the state of the RungekuttaRV time steppers
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Thu, 17 Jan 2019 10:25:06 +0100
parents 2d7c1333bd6c
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