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annotate +sbp/D1Gauss.m @ 577:e45c9b56d50d feature/grids

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Add an Empty grid class The need turned up for the flexural code when we may or may not have a grid for the open water and want to plot that solution. In case there is no open water we need an empty grid to plot the empty gridfunction against to avoid errors.
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 07 Sep 2017 09:16:12 +0200
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.
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2 % Diagonal-norm SBP operators based on the Gauss quadrature formula
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3 % with m nodes, which is of degree 2m-1. Hence, The operator D1 is
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4 % accurate of order m.
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5 properties
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6 D1 % SBP operator approximating first derivative
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7 H % Norm matrix
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8 HI % H^-1
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9 Q % Skew-symmetric matrix
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10 e_l % Left boundary operator
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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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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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18 methods
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19 function obj = D1Gauss(m,lim)
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20
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21 x_l = lim{1};
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22 x_r = lim{2};
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23 L = x_r-x_l;
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24
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25 switch m
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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
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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
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30 error('Invalid number of points: %d.', m);
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31 end
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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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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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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