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annotate +time/CdiffTimeDep.m @ 774:66eb4a2bbb72 feature/grids

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Remove default scaling of the system. The scaling doens't seem to help actual solutions. One example that fails in the flexural code. With large timesteps the solutions seems to blow up. One particular example is profilePresentation on the tdb_presentation_figures branch with k = 0.0005
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 18 Jul 2018 15:42:52 -0700
parents 151ab2b5a686
children 8894e9c49e40
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151ab2b5a686 Added a timedependent version of Cdiff.
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1 classdef CdiffTimeDep < time.Timestepper
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2 properties
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3 D
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4 E
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7 t
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8 v
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9 v_prev
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10 n
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11 end
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14 methods
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15 % Solves u_tt = Du + E(t)u_t + S(t)
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16 % D, E, S can either all be constants or all be function handles,
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17 % They can also be omitted by setting them equal to the empty matrix.
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18 % CdiffTimeDep(D, E, S, k, t0, n0, v, v_prev)
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19 function obj = CdiffTimeDep(D, E, S, k, t0, n0, v, v_prev)
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20 m = length(v);
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21 default_arg('E', @(t)sparse(m,m));
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22 default_arg('S', @(t)sparse(m,1));
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24 obj.D = D;
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25 obj.E = E;
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26 obj.S = S;
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28 obj.k = k;
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29 obj.t = t0;
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30 obj.n = n0;
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31 obj.v = v;
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32 obj.v_prev = v_prev;
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33 end
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35 function [v,t] = getV(obj)
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36 v = obj.v;
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37 t = obj.t;
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38 end
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40 function [vt,t] = getVt(obj)
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41 vt = (obj.v-obj.v_prev)/obj.k; % Could be improved using u_tt = f(u))
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42 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, obj.v_prev] = time.cdiff.cdiff(obj.v, obj.v_prev, obj.k, obj.D, obj.E(obj.t), obj.S(obj.t));
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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 end
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