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annotate +sbp/D4Compatible.m @ 1031:2ef20d00b386 feature/advectionRV

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For easier comparison, return both the first order and residual viscosity when evaluating the residual. Add the first order and residual viscosity to the state of the RungekuttaRV time steppers
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Thu, 17 Jan 2019 10:25:06 +0100
parents e1d11b6a68d8
children
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252
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
1 classdef D4Compatible < sbp.OpSet
07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
parents:
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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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Martin Almquist <martin.almquist@it.uu.se>
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5 HI % H^-1
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Martin Almquist <martin.almquist@it.uu.se>
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6 Q % Skew-symmetric matrix
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Martin Almquist <martin.almquist@it.uu.se>
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7 e_l % Left boundary operator
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8 e_r % Right boundary operator
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Martin Almquist <martin.almquist@it.uu.se>
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9 D2 % SBP operator for second derivative
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Martin Almquist <martin.almquist@it.uu.se>
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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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Martin Almquist <martin.almquist@it.uu.se>
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13 D3 % SBP operator for third derivative
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Martin Almquist <martin.almquist@it.uu.se>
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14 Q3 % Skew-symmetric matrix in third derivative
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Martin Almquist <martin.almquist@it.uu.se>
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15 d2_l % Left boundary second derivative
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16 d2_r % Right boundary second derivative
263
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Martin Almquist <martin.almquist@it.uu.se>
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17 D4 % SBP operator for fourth derivative
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Martin Almquist <martin.almquist@it.uu.se>
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18 M4 % Norm matrix, fourth derivative
268
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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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Martin Almquist <martin.almquist@it.uu.se>
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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
252
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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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8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
Martin Almquist <martin.almquist@it.uu.se>
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30 function obj = D4Compatible(m,lim,order)
441
e1d11b6a68d8 Add string methods to OpSets that are missing them
Jonatan Werpers <jonatan@werpers.com>
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31
e1d11b6a68d8 Add string methods to OpSets that are missing them
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32
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Martin Almquist <martin.almquist@it.uu.se>
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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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Martin Almquist <martin.almquist@it.uu.se>
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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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Martin Almquist <martin.almquist@it.uu.se>
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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] =...
263
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43 sbp.implementations.d4_compatible_2(m,obj.h);
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Martin Almquist <martin.almquist@it.uu.se>
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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] =...
263
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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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parents: 264
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56 obj.d1_l, obj.d1_r] =...
263
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parents: 262
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57 sbp.implementations.d4_compatible_6(m,obj.h);
252
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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
07fa0d6a05bb Renamned class files and added nonequidistant operators.
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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 = [];
252
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68
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69
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70 end
441
e1d11b6a68d8 Add string methods to OpSets that are missing them
Jonatan Werpers <jonatan@werpers.com>
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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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76
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78
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79 end