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annotate +rv/ResidualViscosity.m @ 1188:7173b6fd4063 feature/rv

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Rename class property grid to g, to avoid confusion with grid package
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Mon, 08 Jul 2019 14:50:19 +0200
parents 3364a51f0d9e
children 921595039ab8
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 g % 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
1e437c9e5132 Create residual viscosity package +rv and generalize the ResidualViscosity class
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16 methods
1016
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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(g, 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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856bd6291d17 Use same order for both time derivative and flux term when computing the residual
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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;
1e437c9e5132 Create residual viscosity package +rv and generalize the ResidualViscosity class
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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.g = g;
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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 'filter'
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36 order = 4;
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37 F = obj.shapiroFilter(obj.g, order);
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38 obj.Mres = F*obj.Mres;
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39 obj.fRes = @(v,dvdt) obj.Mres*abs(dvdt + obj.Df(v))./obj.normalization(v);
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40 case 'maximum neighbors'
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41 switch g.D()
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42 case 1
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43 obj.fRes = @(v,dvdt) movmax(obj.Mres*abs(dvdt + obj.Df(v))./obj.normalization(v),3);
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44 case 2
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45 obj.fRes = @obj.maxResidualNeighbors2d;
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46 end
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47 end
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48 end
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49
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50 function viscosity = evaluateViscosity(obj, v, dvdt)
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51 viscosity = min(obj.Mfirst*abs(obj.waveSpeed(v)), obj.fRes(v,dvdt));
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52 end
010bb2677230 Clean up in +rv/+time. Make the time stepping more efficient by not storing unnessecary properties in the RK-RV time steppers
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53
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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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54 function [viscosity, Df, firstOrderViscosity, residualViscosity] = evaluate(obj, v, dvdt)
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55 Df = obj.Df(v);
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56 firstOrderViscosity = obj.Mfirst*abs(obj.waveSpeed(v));
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57 residualViscosity = obj.fRes(v,dvdt);
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58 viscosity = min(firstOrderViscosity, residualViscosity);
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59 end
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60
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61 function res = maxResidualNeighbors2d(obj,v,dvdt)
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62 res = obj.Mres*abs(dvdt + obj.Df(v))./obj.normalization(v);
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63 resMat = grid.funcToMatrix(obj.g,res);
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64 res = reshape(max(movmax(resMat,3,1),movmax(resMat,3,2))',obj.g.N(),1);
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65 end
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66 end
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67 methods (Static)
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68 function minmaxDiff = minmaxDiffNeighborhood1d(u)
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69 umax = movmax(u,3);
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70 umin = movmin(u,3);
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71 minmaxDiff = umax - umin;
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72 end
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73
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74 function minmaxDiff = minmaxDiffNeighborhood2d(g, u)
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75 uMatrix = grid.funcToMatrix(g,u);
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76 umax = max(movmax(uMatrix,3,1),movmax(uMatrix,3,2));
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77 umin = min(movmin(uMatrix,3,1),movmin(uMatrix,3,2));
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78 minmaxDiff = umax - umin;
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79 minmaxDiff = reshape(minmaxDiff',g.N(),1);
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80 end
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81 function F = shapiroFilter(g, order)
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82 switch order
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83 case 2
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84 F = spdiags(repmat([1 2 1],g.m(1),1), -1:1, g.m(1), g.m(1));
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85 case 4
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86 F = spdiags(repmat([-1 4 10 4 -1],g.m(1),1), -2:2, g.m(1), g.m(1));
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87 case 6
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88 F = spdiags(repmat([1 -6 15 44 15 -6 1],g.m(1),1), -3:3, g.m(1), g.m(1));
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89 case 8
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90 F = spdiags(repmat([-1 8 -28 56 186 56 -28 8 -1],g.m(1),1), -4:4, g.m(1), g.m(1));
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91 end
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92 F = 1/2^order * F;
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93 % Fx = spdiags(repmat(1/(mid+2)*[1 mid 1],g.m(1),1), -1:1, g.m(1), g.m(1));
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94 % Fx(1,:) = 0;
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95 % Fx(1,1:2) = 1/(mid+1)*[mid 1];
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96 % Fx(end,:) = 0;
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97 % Fx(end,end-1:end) = 1/(mid+1)*[1 mid];
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98 % Fy = spdiags(repmat(1/(mid+2)*[1 mid 1],g.m(2),1), -1:1, g.m(2), g.m(2));
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99 % Fy(1,:) = 0;
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100 % Fy(1,1:2) = 1/(mid+1)*[mid 1];
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101 % Fy(end,:) = 0;
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102 % Fy(end,end-1:end) = 1/(mid+1)*[1 mid];
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103 % Ix = speye(g.m(1));
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104 % Iy = speye(g.m(1));
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105 % F = kron(Fx, Iy) + kron(Ix, Fy);
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106 end
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107 end
1186
3364a51f0d9e Add 1d shapiro filter function to ResidualViscosity
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1180
diff changeset
108
1012
1e437c9e5132 Create residual viscosity package +rv and generalize the ResidualViscosity class
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
109 end