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annotate +sbp/D2Variable.m @ 362:ded4156e53e2

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Added 2nd order accurate 2nd derivative with variable coefficents in a separate implementation file, used by the class D2Variable.
author Martin Almquist <martin.almquist@it.uu.se>
date Tue, 20 Dec 2016 15:04:02 +0100
parents 4b9310edcdf8
children 359861563866
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1 classdef D2Variable < sbp.OpSet
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2 properties
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3 D1 % SBP operator approximating first derivative
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4 H % Norm matrix
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5 HI % H^-1
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6 Q % Skew-symmetric matrix
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7 e_l % Left boundary operator
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8 e_r % Right boundary operator
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9 D2 % SBP operator for second derivative
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10 M % Norm matrix, second derivative
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11 d1_l % Left boundary first derivative
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12 d1_r % Right boundary first derivative
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13 m % Number of grid points.
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14 h % Step size
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15 x % grid
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16 borrowing % Struct with borrowing limits for different norm matrices
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17 end
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19 methods
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8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
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20 function obj = D2Variable(m,lim,order)
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21
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22 x_l = lim{1};
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23 x_r = lim{2};
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24 L = x_r-x_l;
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25 obj.h = L/(m-1);
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26 obj.x = linspace(x_l,x_r,m)';
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28 switch order
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29 case 4
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30 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
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31 obj.e_r, obj.d1_l, obj.d1_r] = ...
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32 sbp.implementations.d2_variable_4(m,obj.h);
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33 obj.borrowing.M.S = 0.2505765857;
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34 case 2
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35 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
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36 obj.e_r, obj.d1_l, obj.d1_r] = ...
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37 sbp.implementations.d2_variable_2(m,obj.h);
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38 obj.borrowing.M.S = 0.3636363636;
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39 % Borrowing const taken from Virta 2014
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41 otherwise
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42 error('Invalid operator order %d.',order);
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43 end
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45 obj.m = m;
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46 obj.M = [];
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48 end
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