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comparison +sbp/+grid/accurateBoundaryOptimizedGrid.m @ 1298:0ffb5bfa65e4 feature/boundary_optimized_grids

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author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Tue, 07 Jul 2020 16:23:44 +0200
parents e53b1e25970a
children
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1297:e53b1e25970a 1298:0ffb5bfa65e4
1 % Computes the grid points x and grid spacing h used by the boundary optimized SBP operators
2 % with improved boundary accuracy, presented in
3 % 'Boundary optimized diagonal-norm SBP operators - Mattsson, Almquist, van der Weide 2018'.
4 %
5 % lim - cell array with domain limits
6 % N - Number of grid points
7 % order - order of accuracy of sbp operator.
1 function [x,h] = accurateBoundaryOptimizedGrid(lim,N,order) 8 function [x,h] = accurateBoundaryOptimizedGrid(lim,N,order)
2 assert(iscell(lim) && numel(lim) == 2,'The limits should be cell arrays with 2 elements.'); 9 assert(iscell(lim) && numel(lim) == 2,'The limit should be cell array with 2 elements.');
3 L = lim{2} - lim{1}; 10 L = lim{2} - lim{1};
4 assert(L>0,'Limits must be given in increasing order.'); 11 assert(L>0,'Limits must be given in increasing order.');
5 %%%% Non-equidistant grid points %%%%% 12 %%%% Non-equidistant grid points %%%%%
6 xb = boundaryPoints(order); 13 xb = boundaryPoints(order);
7 m = length(xb)-1; % Number of non-equidistant points 14 m = length(xb)-1; % Number of non-equidistant points