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annotate +rv/ResidualViscosity.m @ 1158:2ba63553ccfc feature/rv

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Add option to compute maximum neighbordhood residual
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Tue, 25 Jun 2019 14:14:25 +0200
parents 010bb2677230
children 1ad7da049b50
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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1e437c9e5132 Create residual viscosity package +rv and generalize the ResidualViscosity class
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1 classdef ResidualViscosity < handle
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2 properties
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3 grid % grid
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4 Df % Diff op approximating the gradient of the flux f(u)
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5 waveSpeed % Wave speed at each grid point, e.g f'(u). %TBD: Better naming?
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6 Cmax % Constant controlling relative amount of upwind dissipation
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7 Cres % Constant controling relative amount of upwind dissipation
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8 h % Length scale used for scaling the viscosity. Typically grid spacing.
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9 normalization % Function used to normalize the residual such that it is amplified in the
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10 % shocks and suppressed elsewhere.
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11 Mres % Coefficients for the residual viscosity
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12 Mfirst % Coefficients for the first order viscosity
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13 fRes % Function handle for computing the residual.
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14 end
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15
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16 methods
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17 % TBD: Decide on how to treat waveSpeed. It would be nice to just pass a constant value without
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18 % wrapping it in a function.
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19 function obj = ResidualViscosity(grid, Df, waveSpeed, Cmax, Cres, h, normalization, postProcess)
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20 default_arg('normalization',@(v)abs(obj.minmaxDiffNeighborhood1d(v)-norm(v-mean(v),inf)));
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21 default_arg('postProcess','maximum neighbors');
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22 obj.Df = Df;
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23 obj.waveSpeed = waveSpeed;
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24 obj.h = h;
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25 obj.Cmax = Cmax;
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26
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27 obj.Cres = Cres;
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28 obj.normalization = normalization;
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29 obj.grid = grid;
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30 obj.Mres = obj.Cres*obj.h^2;
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31 obj.Mfirst = obj.Cmax*obj.h;
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32 switch postProcess
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33 case 'none'
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34 obj.fRes = @(v,dvdt) obj.Mres*abs(dvdt + obj.Df(v))./obj.normalization(v);
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35 case 'maximum neighbors'
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36 obj.fRes = @obj.maxResidualNeighbors
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37 end
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38 end
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39
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40 function viscosity = evaluateViscosity(obj, v, dvdt)
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41 viscosity = min(obj.Mfirst*abs(obj.waveSpeed(v)), obj.fRes(v,dvdt));
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42 end
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43
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2ef20d00b386 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
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44 function [viscosity, Df, firstOrderViscosity, residualViscosity] = evaluate(obj, v, dvdt)
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45 Df = obj.Df(v);
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46 firstOrderViscosity = obj.Mfirst*abs(obj.waveSpeed(v));
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47 residualViscosity = obj.fRes(v,dvdt);
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48 viscosity = min(firstOrderViscosity, obj.fRes(v,dvdt));
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49 end
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50 function res = maxResidualNeighbors(obj,v,dvdt)
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51 res = obj.Mres*abs(dvdt + obj.Df(v))./obj.normalization(v);
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52 resMat = grid.funcToMatrix(obj.grid,res);
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53 res = reshape(max(movmax(resMat,3,1),movmax(resMat,3,2))',obj.grid.N(),1);
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54 end
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55 end
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56 methods (Static)
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57 function minmaxDiff = minmaxDiffNeighborhood1d(u)
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58 umax = movmax(u,3);
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59 umin = movmin(u,3);
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60 minmaxDiff = umax - umin;
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61 end
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62
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63 function minmaxDiff = minmaxDiffNeighborhood2d(grid, u)
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64 uMatrix = grid.funcToMatrix(grid,u);
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65 umax = max(movmax(uMatrix,3,1),movmax(uMatrix,3,2));
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66 umin = min(movmin(uMatrix,3,1),movmin(uMatrix,3,2));
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67 minmaxDiff = umax - umin;
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68 minmaxDiff = reshape(minmaxDiff',g.N(),1);
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69 end
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70 end
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71 end