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annotate +sbp/D2Variable.m @ 389:42c89b5eedc0 feature/beams

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Add borrowing constants for D2 operators in D4Variable
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 10 Jan 2017 17:31:28 +0100
parents f36d172e196b
children 359861563866
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07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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1 classdef D2Variable < sbp.OpSet
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2 properties
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Martin Almquist <martin.almquist@it.uu.se>
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3 D1 % SBP operator approximating first derivative
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Martin Almquist <martin.almquist@it.uu.se>
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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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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.d1 = 0.2505765857;
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34 otherwise
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35 error('Invalid operator order %d.',order);
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36 end
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38 obj.m = m;
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39 obj.M = [];
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41 end
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43 function str = string(obj)
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44 str = [class(obj) '_' num2str(obj.order)];
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45 end
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