Mercurial > repos > public > sbplib
diff +scheme/bcSetup.m @ 781:69ab0e69f972 feature/interpolation
Merge with feature/grids
author | Jonatan Werpers <jonatan@werpers.com> |
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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