diff +scheme/bcSetup.m @ 781:69ab0e69f972 feature/interpolation

Merge with feature/grids
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 24 Jul 2018 20:14:29 -0700
parents 0776fa4754ff
children c02b6d03c77c
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/+scheme/bcSetup.m	Tue Jul 24 20:14:29 2018 -0700
@@ -0,0 +1,75 @@
+% function [closure, S] = bcSetup(diffOp, bc)
+% Takes a diffOp and a cell array of boundary condition definitions.
+% Each bc is a struct with the fields
+%  * type     -- Type of boundary condition
+%  * boundary -- Boundary identifier
+%  * data     -- A function_handle for a function which provides boundary data.(see below)
+% Also takes S_sign which modifies the sign of S, [-1,1]
+% Returns a closure matrix and a forcing function S.
+%
+% The boundary data function can either be a function of time or a function of time and space coordinates.
+% In the case where it only depends on time it should return the data as grid function for the boundary.
+% In the case where it also takes space coordinates the number of space coordinates should match the number of dimensions of the problem domain.
+% For example in the 2D case: f(t,x,y).
+function [closure, S] = bcSetup(diffOp, bc, S_sign)
+    default_arg('S_sign', 1);
+    assertType(bc, 'cell');
+    assert(S_sign == 1 || S_sign == -1, 'S_sign must be either 1 or -1');
+
+
+    % Setup storage arrays
+    closure = spzeros(size(diffOp));
+    gridDataPenalties = {};
+    gridDataFunctions = {};
+    symbolicDataPenalties = {};
+    symbolicDataFunctions = {};
+    symbolicDataCoords = {};
+
+    % Collect closures, penalties and data
+    for i = 1:length(bc)
+        assertType(bc{i}, 'struct');
+        [localClosure, penalty] = diffOp.boundary_condition(bc{i}.boundary, bc{i}.type);
+        closure = closure + localClosure;
+
+        if ~isfield(bc{i},'data') || isempty(bc{i}.data)
+            % Skip to next loop if there is no data
+            continue
+        end
+        assertType(bc{i}.data, 'function_handle');
+
+        % Find dimension
+        dim = size(diffOp.grid.getBoundary(bc{i}.boundary), 2);
+
+        if nargin(bc{i}.data) == 1
+            % Grid data
+            boundarySize = [size(diffOp.grid.getBoundary(bc{i}.boundary),1),1];
+            assertSize(bc{i}.data(0), boundarySize); % Eval for t = 0 and make sure the function returns a grid vector of the correct size.
+            gridDataPenalties{end+1} = penalty;
+            gridDataFunctions{end+1} = bc{i}.data;
+        elseif nargin(bc{i}.data) == 1+dim
+            % Symbolic data
+            coord = diffOp.grid.getBoundary(bc{i}.boundary);
+            symbolicDataPenalties{end+1} = penalty;
+            symbolicDataFunctions{end+1} = bc{i}.data;
+            symbolicDataCoords{end+1} = num2cell(coord ,1);
+        else
+            error('sbplib:scheme:bcSetup:DataWrongNumberOfArguments', 'bc{%d}.data has the wrong number of input arguments. Must be either only time or time and space.', i);
+        end
+    end
+
+    % Setup penalty function
+    O = spzeros(size(diffOp),1);
+    function v = S_fun(t)
+        v = O;
+        for i = 1:length(gridDataFunctions)
+            v = v + gridDataPenalties{i}*gridDataFunctions{i}(t);
+        end
+
+        for i = 1:length(symbolicDataFunctions)
+            v = v + symbolicDataPenalties{i}*symbolicDataFunctions{i}(t, symbolicDataCoords{i}{:});
+        end
+
+        v = S_sign * v;
+    end
+    S = @S_fun;
+end