Mercurial > repos > public > sbplib
diff +scheme/bcSetup.m @ 820:501750fbbfdb
Merge with feature/grids
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Fri, 07 Sep 2018 14:40:58 +0200 |
parents | 5cf9fdf4c98f |
children | 006defd0247b 57760d7088ad |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+scheme/bcSetup.m Fri Sep 07 14:40:58 2018 +0200 @@ -0,0 +1,110 @@ +% 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, bcs, S_sign) + default_arg('S_sign', 1); + assertType(bcs, 'cell'); + assert(S_sign == 1 || S_sign == -1, 'S_sign must be either 1 or -1'); + + verifyBcFormat(bcs, diffOp); + + % Setup storage arrays + closure = spzeros(size(diffOp)); + gridData = {}; + symbolicData = {}; + + % Collect closures, penalties and data + for i = 1:length(bcs) + [localClosure, penalty] = diffOp.boundary_condition(bcs{i}.boundary, bcs{i}.type); + closure = closure + localClosure; + + [ok, isSym, data] = parseData(bcs{i}, penalty, diffOp.grid); + + if ~ok + % There was no data + continue + end + + if isSym + symbolicData{end+1} = data; + else + gridData{end+1} = data; + end + end + + % Setup penalty function + O = spzeros(size(diffOp),1); + function v = S_fun(t) + v = O; + for i = 1:length(gridData) + v = v + gridData{i}.penalty*gridData{i}.func(t); + end + + for i = 1:length(symbolicData) + v = v + symbolicData{i}.penalty*symbolicData{i}.func(t, symbolicData{i}.coords{:}); + end + + v = S_sign * v; + end + S = @S_fun; +end + +function verifyBcFormat(bcs, diffOp) + for i = 1:length(bcs) + assertType(bcs{i}, 'struct'); + assertStructFields(bcs{i}, {'type', 'boundary'}); + + if ~isfield(bcs{i}, 'data') || isempty(bcs{i}.data) + continue + end + + if ~isa(bcs{i}.data, 'function_handle') + error('bcs{%d}.data should be a function of time or a function of time and space',i); + end + + b = diffOp.grid.getBoundary(bcs{i}.boundary); + + dim = size(b,2); + + if nargin(bcs{i}.data) == 1 + % Grid data (only function of time) + assertSize(bcs{i}.data(0), 1, size(b)); + elseif nargin(bcs{i}.data) ~= 1+dim + error('sbplib:scheme:bcSetup:DataWrongNumberOfArguments', 'bcs{%d}.data has the wrong number of input arguments. Must be either only time or time and space.', i); + end + end +end + +function [ok, isSym, dataStruct] = parseData(bc, penalty, grid) + if ~isfield(bc,'data') || isempty(bc.data) + ok = false; + return + end + ok = true; + + nArg = nargin(bc.data); + + if nArg > 1 + % Symbolic data + isSym = true; + coord = grid.getBoundary(bc.boundary); + dataStruct.penalty = penalty; + dataStruct.func = bc.data; + dataStruct.coords = num2cell(coord, 1); + else + % Grid data + isSym = false; + dataStruct.penalty = penalty; + dataStruct.func = bcs{i}.data; + end +end