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annotate +sbp/D1Gauss.m @ 1037:2d7ba44340d0 feature/burgers1d

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Pass scheme specific parameters as cell array. This will enabale constructDiffOps to be more general. In addition, allow for schemes returning function handles as diffOps, which is currently how non-linear schemes such as Burgers1d are implemented.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 18 Jan 2019 09:02:02 +0100
parents e1d11b6a68d8
children
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4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
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1 classdef D1Gauss < sbp.OpSet
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
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2 % Diagonal-norm SBP operators based on the Gauss quadrature formula
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
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3 % with m nodes, which is of degree 2m-1. Hence, The operator D1 is
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
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4 % accurate of order m.
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
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5 properties
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
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6 D1 % SBP operator approximating first derivative
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
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7 H % Norm matrix
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Martin Almquist <martin.almquist@it.uu.se>
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8 HI % H^-1
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Martin Almquist <martin.almquist@it.uu.se>
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9 Q % Skew-symmetric matrix
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Martin Almquist <martin.almquist@it.uu.se>
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10 e_l % Left boundary operator
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
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11 e_r % Right boundary operator
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Martin Almquist <martin.almquist@it.uu.se>
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12 m % Number of grid points.
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Martin Almquist <martin.almquist@it.uu.se>
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13 h % Step size
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Martin Almquist <martin.almquist@it.uu.se>
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14 x % grid
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Martin Almquist <martin.almquist@it.uu.se>
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15 borrowing % Struct with borrowing limits for different norm matrices
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Martin Almquist <martin.almquist@it.uu.se>
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16 end
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Martin Almquist <martin.almquist@it.uu.se>
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17
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Martin Almquist <martin.almquist@it.uu.se>
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18 methods
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Martin Almquist <martin.almquist@it.uu.se>
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19 function obj = D1Gauss(m,lim)
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Martin Almquist <martin.almquist@it.uu.se>
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20
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
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21 x_l = lim{1};
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Martin Almquist <martin.almquist@it.uu.se>
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22 x_r = lim{2};
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Martin Almquist <martin.almquist@it.uu.se>
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23 L = x_r-x_l;
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24
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Martin Almquist <martin.almquist@it.uu.se>
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25 switch m
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Martin Almquist <martin.almquist@it.uu.se>
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26 case 4
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Martin Almquist <martin.almquist@it.uu.se>
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27 [obj.D1,obj.H,obj.x,obj.h,obj.e_l,obj.e_r] = ...
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42c4f0b545d6 Remove m as input to implementation function. Fix error message for invalid m to D1Gauss
Jonatan Werpers <jonatan@werpers.com>
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28 sbp.implementations.d1_gauss_4(L);
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Martin Almquist <martin.almquist@it.uu.se>
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29 otherwise
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42c4f0b545d6 Remove m as input to implementation function. Fix error message for invalid m to D1Gauss
Jonatan Werpers <jonatan@werpers.com>
parents: 405
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30 error('Invalid number of points: %d.', m);
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31 end
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4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
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33
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
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34 obj.x = obj.x + x_l;
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Martin Almquist <martin.almquist@it.uu.se>
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35 obj.HI = inv(obj.H);
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36 obj.Q = obj.H*obj.D1 - obj.e_r*obj.e_r' + obj.e_l*obj.e_l';
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37
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Martin Almquist <martin.almquist@it.uu.se>
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38 obj.borrowing = [];
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Martin Almquist <martin.almquist@it.uu.se>
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39 end
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e1d11b6a68d8 Add string methods to OpSets that are missing them
Jonatan Werpers <jonatan@werpers.com>
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40
e1d11b6a68d8 Add string methods to OpSets that are missing them
Jonatan Werpers <jonatan@werpers.com>
parents: 409
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41 function str = string(obj)
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42 str = [class(obj) '_' num2str(obj.order)];
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43 end
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44 end
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
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45 end