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annotate +sbp/D4Compatible.m @ 1289:2fd2e2337b77 feature/boundary_optimized_grids

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Add utility function for constructing a (possibly multidimensional) grid based on the grid points used by the boundary optimized SBP operators
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Wed, 01 Jul 2020 15:15:30 +0200
parents e1d11b6a68d8
children
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Martin Almquist <martin.almquist@it.uu.se>
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1 classdef D4Compatible < sbp.OpSet
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Martin Almquist <martin.almquist@it.uu.se>
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2 properties
263
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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 D3 % SBP operator for third derivative
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14 Q3 % Skew-symmetric matrix in third derivative
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15 d2_l % Left boundary second derivative
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16 d2_r % Right boundary second derivative
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17 D4 % SBP operator for fourth derivative
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18 M4 % Norm matrix, fourth derivative
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19 d3_l % Left boundary third derivative
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20 d3_r % Right boundary third derivative
252
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21 m % Number of grid points.
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22 h % Step size
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23 x % grid
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24 borrowing % Struct with borrowing limits for different norm matrices
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25 end
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26
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27
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28
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29 methods
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Martin Almquist <martin.almquist@it.uu.se>
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30 function obj = D4Compatible(m,lim,order)
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Jonatan Werpers <jonatan@werpers.com>
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31
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32
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33 x_l = lim{1};
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34 x_r = lim{2};
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35 L = x_r-x_l;
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36 obj.h = L/(m-1);
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37 obj.x = linspace(x_l,x_r,m)';
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38
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39 if order == 2
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40 [obj.H, obj.HI, obj.D1, obj.D4, obj.e_l, obj.e_r, obj.M4,...
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41 obj.Q, obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r,...
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42 obj.d1_l, obj.d1_r] =...
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43 sbp.implementations.d4_compatible_2(m,obj.h);
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44 obj.borrowing.N.S2 = 0.7500;
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45 obj.borrowing.N.S3 = 0.3000;
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46 elseif order == 4
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47 [obj.H, obj.HI, obj.D1, obj.D4, obj.e_l, obj.e_r, obj.M4,...
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48 obj.Q, obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r,...
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49 obj.d1_l, obj.d1_r] =...
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50 sbp.implementations.d4_compatible_4(m,obj.h);
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51 obj.borrowing.N.S2 = 0.4210;
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52 obj.borrowing.N.S3 = 0.7080;
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53 elseif order == 6
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54 [obj.H, obj.HI, obj.D1, obj.D4, obj.e_l, obj.e_r, obj.M4,...
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55 obj.Q, obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r,...
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56 obj.d1_l, obj.d1_r] =...
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57 sbp.implementations.d4_compatible_6(m,obj.h);
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58 obj.borrowing.N.S2 = 0.06925;
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59 obj.borrowing.N.S3 = 0.05128;
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60 else
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61 error('Invalid operator order.');
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62 end
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63
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64 obj.m = m;
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65
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66 obj.D2 = [];
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67 obj.D3 = [];
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68
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69
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70 end
441
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71
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72 function str = string(obj)
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73 str = [class(obj) '_' num2str(obj.order)];
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74 end
252
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75 end
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79 end