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annotate +sbp/D4Variable.m @ 330:25b01643e438 feature/beams

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Added a string method to OpSet.
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 29 Sep 2016 12:56:37 +0200
parents 31d6698c1edf
children 42c89b5eedc0
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c0cbffcf6513 Created new operator class for lonely D4 operators. Removed some output parameters of implementations.
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1 classdef D4Variable < sbp.OpSet
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2 properties
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3 m % Number of grid points.
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4 h % Step size
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5 x % grid
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31d6698c1edf Clean up and fixing of new operators
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6 H % Norm matrix
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7 HI % H^-1
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8 D1 % SBP operator approximating first derivative
31d6698c1edf Clean up and fixing of new operators
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9 D2 % SBP operator for second derivative
31d6698c1edf Clean up and fixing of new operators
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10 D4 % SBP operator for fourth derivative
31d6698c1edf Clean up and fixing of new operators
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11 Q % Skew-symmetric matrix
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12 M % Norm matrix, second derivative
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13 M4 % Norm matrix, fourth derivative
31d6698c1edf Clean up and fixing of new operators
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14 e_l, e_r % Left and right boundary operator
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15 d1_l, d1_r % Left and right boundary first derivative
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16 d2_l, d2_r % Left and right boundary second derivative
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17 d3_l, d3_r % Left and right boundary third derivative
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21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
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18 borrowing % Struct with borrowing limits for different norm matrices
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19 order
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20 end
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21
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22 methods
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23 function obj = D4Variable(m, lim, order)
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8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
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24 x_l = lim{1};
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
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25 x_r = lim{2};
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
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26 L = x_r-x_l;
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27 obj.h = L/(m-1);
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fefb2f9884f7 Merge with default.
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28 obj.x = linspace(x_l, x_r,m)';
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29
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30 if order == 2
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9230c056a574 Fixed formatting.
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31 [H, HI, D1, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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ffa5d557942b Moved operator implementations and fixed some naming.
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32 sbp.implementations.d4_variable_2(m, obj.h);
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33 obj.borrowing.N.S2 = 1.2500;
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34 obj.borrowing.N.S3 = 0.4000;
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35 elseif order == 4
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36 [H, HI, D1, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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37 sbp.implementations.d4_variable_4(m, obj.h);
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38 obj.borrowing.N.S2 = 0.5055;
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39 obj.borrowing.N.S3 = 0.9290;
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40 elseif order == 6
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41 [H, HI, D1, D2, D4, e_l, e_r, M4, d2_l, d2_r, d3_l, d3_r, d1_l, d1_r] = ...
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42 sbp.implementations.d4_variable_6(m, obj.h);
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43 obj.borrowing.N.S2 = 0.3259;
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44 obj.borrowing.N.S3 = 0.1580;
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45 else
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46 error('Invalid operator order.');
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47 end
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48
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49 obj.m = m;
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50 obj.order = order;
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51
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52 obj.H = H;
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53 obj.HI = HI;
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54 obj.D1 = D1;
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55 obj.D2 = D2;
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56 obj.D4 = D4;
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57 obj.M4 = M4;
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58 obj.e_l = e_l;
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59 obj.e_r = e_r;
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60 obj.d1_l = d1_l;
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61 obj.d1_r = d1_r;
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62 obj.d2_l = d2_l;
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63 obj.d2_r = d2_r;
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64 obj.d3_l = d3_l;
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65 obj.d3_r = d3_r;
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66 end
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67
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68 function str = string(obj)
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69 str = [class(obj) '_' num2str(obj.order)];
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70 end
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71 end
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72 end