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annotate +sbp/D4CompatibleVariable.m @ 263:21a180acbd49 operator_remake

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Renamed standard class to D2Standard etc, Rewrote class properties.
author Martin Almquist <martin.almquist@it.uu.se>
date Thu, 08 Sep 2016 17:50:30 +0200
parents 23051a86faa4
children 8a625c5a3633
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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 D4CompatibleVariable < 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_1 % Left boundary operator
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8 e_m % Right boundary operator
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9 D2 % SBP operator for second derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
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10 M % Norm matrix, second derivative
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11 S_1 % Left boundary first derivative
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12 S_m % 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 S2_1 % Left boundary second derivative
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16 S2_m % Right boundary second derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
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17 D4 % SBP operator for fourth derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
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18 M4 % Norm matrix, fourth derivative
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19 S3_1 % Left boundary third derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
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20 S3_m % Right boundary third derivative
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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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29 methods
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30 function obj = D4CompatibleVariable(m,L,order)
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31
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32 obj.h = L/(m-1);
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33 obj.x = linspace(0,L,m)';
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34
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35 if order == 2
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36 [obj.H, obj.HI, ~, obj.D2, ~, obj.D4, obj.e_1, obj.e_m,...
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37 obj.M4, ~, obj.S2_1, obj.S2_m, obj.S3_1,...
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38 obj.S3_m, obj.S_1, obj.S_m] =...
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39 sbp.implementations.d4_compatible_halfvariable_2(m,obj.h);
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40 obj.borrowing.N.S2 = 1.2500;
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41 obj.borrowing.N.S3 = 0.4000;
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42 elseif order == 4
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43 [obj.H, obj.HI, obj.D2, obj.D4, obj.e_1, obj.e_m, obj.M4,...
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44 obj.S2_1, obj.S2_m, obj.S3_1, obj.S3_m, obj.S_1,...
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45 obj.S_m] =...
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46 sbp.implementations.d4_compatible_halfvariable_4(m,obj.h);
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47 obj.borrowing.N.S2 = 0.5055;
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48 obj.borrowing.N.S3 = 0.9290;
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49 elseif order == 6
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50 [obj.H, obj.HI, obj.D2, obj.D4, obj.e_1, obj.e_m, obj.M4,...
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51 obj.S2_1, obj.S2_m, obj.S3_1, obj.S3_m, obj.S_1,...
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52 obj.S_m] =...
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53 sbp.implementations.d4_compatible_halfvariable_6(m,obj.h);
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54 obj.borrowing.N.S2 = 0.3259;
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55 obj.borrowing.N.S3 = 0.1580;
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56 else
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57 error('Invalid operator order.');
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58 end
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59
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60 obj.m = m;
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61
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62 obj.D1 = [];
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63 obj.D3 = [];
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66 end
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67 end
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71 end