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annotate +time/Rungekutta4RV.m @ 815:fae41958af4f feature/burgers1d

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Add support for artificial viscosity to the 1d burgers scheme. - Add support for artificial viscosity by parametrizing the discretization operator and boundary closure on the viscosity. - Add a time stepper which evaluates and updates the residual viscosity of the solution.
author Vidar Stiernstrom <vidar.stiernstrom@it.uu.se>
date Thu, 06 Sep 2018 12:43:51 +0200
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children d0934d1143b7
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815
fae41958af4f Add support for artificial viscosity to the 1d burgers scheme.
Vidar Stiernstrom <vidar.stiernstrom@it.uu.se>
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1 classdef Rungekutta4RV < time.Timestepper
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2 properties
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3 F
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4 k
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5 t
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6 v
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7 m
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8 n
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9
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10 % Additional members used for the RV update
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11 RV
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12 end
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13
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14
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15 methods
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16 function obj = Rungekutta4RV(F, k, t0, v0, RV)
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17 obj.F = F;
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18 obj.k = k;
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19 obj.t = t0;
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20 obj.v = v0;
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21 obj.m = length(v0);
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22 obj.n = 0;
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23 obj.RV = RV;
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24 end
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25
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26 function [v, t] = getV(obj)
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27 v = obj.v;
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28 t = obj.t;
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29 end
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30
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31 function [residual, viscosity, t] = getRV(obj)
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32 residual = obj.RV.getResidual();
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33 viscosity = obj.RV.getViscosity();
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34 t = obj.t;
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35 end
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36
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37 function obj = step(obj)
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38 v_prev = obj.v;
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39 F = @(v,t) obj.F(v, t, obj.RV.getViscosity());
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40 obj.v = time.rk4.rungekutta_4(obj.v, obj.t, obj.k, F);
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41 obj.t = obj.t + obj.k;
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42 obj.n = obj.n + 1;
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43 obj.RV.update(obj.v, v_prev, obj.k);
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44 end
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45 end
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46
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47
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48 methods (Static)
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49 function k = getTimeStep(lambda)
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50 k = rk4.get_rk4_time_step(lambda);
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51 end
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52 end
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53
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54 end