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annotate +sbp/D1Gauss.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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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
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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
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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
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Martin Almquist <martin.almquist@it.uu.se>
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11 e_r % Right boundary operator
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12 m % Number of grid points.
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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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15 borrowing % Struct with borrowing limits for different norm matrices
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16 end
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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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20
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Martin Almquist <martin.almquist@it.uu.se>
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21 x_l = lim{1};
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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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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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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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33
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Martin Almquist <martin.almquist@it.uu.se>
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34 obj.x = obj.x + x_l;
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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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39 end
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e1d11b6a68d8 Add string methods to OpSets that are missing them
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40
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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
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45 end