diff +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
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/+grid/boundaryoptimized.m	Wed Jul 01 15:15:30 2020 +0200
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+% Creates a cartesian grid of dimension length(m)
+% over the doman xlim, ylim, ...
+% The grid is non-equidistant in the boundary regions,
+% with node node placement based of boundary-optimized SBP operators.
+% Examples:
+%   g = grid.boundaryoptimized([mx, my], xlim, ylim, order, opt)
+%   g = grid.boundaryoptimized([10, 15], {0,1}, {0,2}, 4) - defaults to 'accurate' stencils
+%   g = grid.boundaryoptimized([10, 15], {0,1}, {0,2}, 4, 'minimal')
+function g = boundaryoptimized(m, varargin)
+    n = length(m);
+    
+    % Check that parameters matches dimensions
+    matchingParams = false;
+    if length(varargin) == n+1 % Minimal number of arguments
+            matchingParams = iscell([varargin{1:n}]) && ...
+                             isfloat([varargin{n+1}]);
+    elseif length(varargin) == n+2 % Stencil options supplied
+            matchingParams = iscell([varargin{1:n}]) && ...
+                             isfloat([varargin{n+1}]) && ...
+                             ischar([varargin{n+2}]);
+    end    
+    assert(matchingParams,'grid:boundaryoptimized:NonMatchingParameters','The number of parameters per dimensions do not match.');
+
+    % Check that stencil options are passed correctly (if supplied)
+    if length(varargin) == n+2 % Stencil options supplied
+        availabe_opts = ["Accurate","accurate","A","Minimal","minimal","M"];
+        assert(any(varargin{n+2} == availabe_opts), ...
+            'grid:boundaryoptimized:InvalidOption',"The operator option must be 'accurate' or 'minimal.'");
+    else %If not passed, populate varargin with default option 'accurate'
+        varargin(n+2) = {'accurate'};
+    end
+    
+    % Specify generating function
+    switch varargin{n+2}
+        case {'Accurate','accurate','A'}
+            gridgenerator = @sbp.util.accurateBoundaryOptimizedGrid;
+        case {'Minimal','minimal','M'}
+            gridgenerator = @sbp.util.minimalBoundaryOptimizedGrid;
+    end
+
+    X = {};
+    h = [];
+    for i = 1:n
+        try
+            [X{i},h(i)] = gridgenerator(varargin{i},m(i),varargin{n+1});
+        catch exception % Propagate any errors in the grid generation functions.
+            msgText = getReport(exception);
+            error('grid:boundaryoptimized:InvalidParameter',msgText)
+        end
+    end
+
+    g = grid.Cartesian(X{:});
+    g.h = h;
+end
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