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annotate +rv/+time/RungekuttaInteriorRV.m @ 1017:2d7c1333bd6c feature/advectionRV

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Add support for using the ODE to approximate the time derivative in the residual
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Tue, 11 Dec 2018 16:29:21 +0100
parents 1e437c9e5132
children
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1e437c9e5132 Create residual viscosity package +rv and generalize the ResidualViscosity class
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1 classdef RungekuttaInteriorRV < time.Timestepper
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2 properties
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3 F % RHS of the ODE
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4 k % Time step
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5 t % Time point
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6 v % Solution vector
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7 n % Time level
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8 coeffs % The coefficents used for the RK time integration
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9 RV % Residual Viscosity
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10 viscosity % Viscosity vector
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11 DvDt % Function for computing the time deriative used for the RV evaluation
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12
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13 residual
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14 dvdt
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15 Df
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16 end
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18 methods
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19 function obj = RungekuttaInteriorRV(F, k, t0, v0, RV, DvDt, order)
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20 obj.F = F;
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21 obj.k = k;
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22 obj.t = t0;
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23 obj.v = v0;
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24 obj.n = 0;
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25 % Extract the coefficients for the specified order
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26 % used for the RK updates from the Butcher tableua.
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27 [s,a,b,c] = time.rk.butcherTableau(order);
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28 obj.coeffs = struct('s',s,'a',a,'b',b,'c',c);
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29 obj.RV = RV;
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30 obj.DvDt = DvDt;
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31 obj.dvdt = obj.DvDt(obj.v);
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32 [obj.viscosity, obj.Df] = obj.RV.evaluate(obj.v,obj.dvdt);
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33 obj.residual = obj.dvdt + obj.Df;
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34 end
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36 function [v, t] = getV(obj)
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37 v = obj.v;
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38 t = obj.t;
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39 end
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41 function state = getState(obj)
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42 state = struct('v', obj.v, 'residual', obj.residual, 'dvdt', obj.dvdt, 'Df', obj.Df, 'viscosity', obj.viscosity, 't', obj.t);
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43 end
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45 function obj = step(obj)
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46 obj.v = rv.time.rungekuttaRV(obj.v, obj.t, obj.k, obj.F, obj.RV, obj.DvDt, obj.coeffs);
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47 obj.t = obj.t + obj.k;
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48 obj.n = obj.n + 1;
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49 obj.dvdt = obj.DvDt(obj.v);
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50 [obj.viscosity, obj.Df] = obj.RV.evaluate(obj.v,obj.dvdt);
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51 obj.residual = obj.dvdt + obj.Df;
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52 end
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53 end
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54 end