Mercurial > repos > public > sbplib
diff +scheme/+bc/forcingSetup.m @ 1033:037f203b9bf5 feature/burgers1d
Merge with branch feature/advectioRV to utilize the +rv package
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
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date | Thu, 17 Jan 2019 10:44:12 +0100 |
parents | ba10f24bf476 |
children | a52033540dd9 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+scheme/+bc/forcingSetup.m Thu Jan 17 10:44:12 2019 +0100 @@ -0,0 +1,86 @@ +% Setup the forcing function for the given boundary conditions and data. +% 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) +% S_sign allows changing the sign of the function to put on different sides in the system of ODEs. +% default is 1, which the same side as the diffOp. +% Returns 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 S = forcingSetup(diffOp, penalties, bcs, S_sign) + default_arg('S_sign', 1); + + assertType(bcs, 'cell'); + assertIsMember(S_sign, [1, -1]); + + scheme.bc.verifyFormat(bcs, diffOp); + + [gridData, symbolicData] = parseAndSortData(bcs, penalties, diffOp); + + % 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 + +% Go through a cell array of boundary condition specifications and return cell arrays +% of structs for grid and symbolic data. +function [gridData, symbolicData] = parseAndSortData(bcs, penalties, diffOp) + gridData = {}; + symbolicData = {}; + for i = 1:length(bcs) + [ok, isSymbolic, data] = parseData(bcs{i}, penalties{i}, diffOp.grid); + + if ~ok + continue % There was no data + end + + if isSymbolic + symbolicData{end+1} = data; + else + gridData{end+1} = data; + end + end +end + +function [ok, isSymbolic, dataStruct] = parseData(bc, penalty, grid) + if ~isfield(bc,'data') || isempty(bc.data) + isSymbolic = []; + dataStruct = struct(); + ok = false; + return + end + ok = true; + + nArg = nargin(bc.data); + + if nArg > 1 + % Symbolic data + isSymbolic = true; + coord = grid.getBoundary(bc.boundary); + dataStruct.penalty = penalty; + dataStruct.func = bc.data; + dataStruct.coords = num2cell(coord, 1); + else + % Grid data + isSymbolic = false; + dataStruct.penalty = penalty; + dataStruct.func = bc.data; + end +end