comparison +grid/boundaryoptimized.m @ 1289:2fd2e2337b77 feature/boundary_optimized_grids

Add utility function for constructing a (possibly multidimensional) grid based on the grid points used by the boundary optimized SBP operators
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Wed, 01 Jul 2020 15:15:30 +0200
parents
children 2853b655c172
comparison
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1288:e059a43bb675 1289:2fd2e2337b77
1 % Creates a cartesian grid of dimension length(m)
2 % over the doman xlim, ylim, ...
3 % The grid is non-equidistant in the boundary regions,
4 % with node node placement based of boundary-optimized SBP operators.
5 % Examples:
6 % g = grid.boundaryoptimized([mx, my], xlim, ylim, order, opt)
7 % g = grid.boundaryoptimized([10, 15], {0,1}, {0,2}, 4) - defaults to 'accurate' stencils
8 % g = grid.boundaryoptimized([10, 15], {0,1}, {0,2}, 4, 'minimal')
9 function g = boundaryoptimized(m, varargin)
10 n = length(m);
11
12 % Check that parameters matches dimensions
13 matchingParams = false;
14 if length(varargin) == n+1 % Minimal number of arguments
15 matchingParams = iscell([varargin{1:n}]) && ...
16 isfloat([varargin{n+1}]);
17 elseif length(varargin) == n+2 % Stencil options supplied
18 matchingParams = iscell([varargin{1:n}]) && ...
19 isfloat([varargin{n+1}]) && ...
20 ischar([varargin{n+2}]);
21 end
22 assert(matchingParams,'grid:boundaryoptimized:NonMatchingParameters','The number of parameters per dimensions do not match.');
23
24 % Check that stencil options are passed correctly (if supplied)
25 if length(varargin) == n+2 % Stencil options supplied
26 availabe_opts = ["Accurate","accurate","A","Minimal","minimal","M"];
27 assert(any(varargin{n+2} == availabe_opts), ...
28 'grid:boundaryoptimized:InvalidOption',"The operator option must be 'accurate' or 'minimal.'");
29 else %If not passed, populate varargin with default option 'accurate'
30 varargin(n+2) = {'accurate'};
31 end
32
33 % Specify generating function
34 switch varargin{n+2}
35 case {'Accurate','accurate','A'}
36 gridgenerator = @sbp.util.accurateBoundaryOptimizedGrid;
37 case {'Minimal','minimal','M'}
38 gridgenerator = @sbp.util.minimalBoundaryOptimizedGrid;
39 end
40
41 X = {};
42 h = [];
43 for i = 1:n
44 try
45 [X{i},h(i)] = gridgenerator(varargin{i},m(i),varargin{n+1});
46 catch exception % Propagate any errors in the grid generation functions.
47 msgText = getReport(exception);
48 error('grid:boundaryoptimized:InvalidParameter',msgText)
49 end
50 end
51
52 g = grid.Cartesian(X{:});
53 g.h = h;
54 end