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

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Merge with feature/grids
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 24 Jul 2018 20:14:29 -0700
parents 0776fa4754ff
children c02b6d03c77c
comparison
equal deleted inserted replaced
751:005a8d071da3 781:69ab0e69f972
1 % function [closure, S] = bcSetup(diffOp, bc)
2 % Takes a diffOp and a cell array of boundary condition definitions.
3 % Each bc is a struct with the fields
4 % * type -- Type of boundary condition
5 % * boundary -- Boundary identifier
6 % * data -- A function_handle for a function which provides boundary data.(see below)
7 % Also takes S_sign which modifies the sign of S, [-1,1]
8 % Returns a closure matrix and a forcing function S.
9 %
10 % The boundary data function can either be a function of time or a function of time and space coordinates.
11 % In the case where it only depends on time it should return the data as grid function for the boundary.
12 % In the case where it also takes space coordinates the number of space coordinates should match the number of dimensions of the problem domain.
13 % For example in the 2D case: f(t,x,y).
14 function [closure, S] = bcSetup(diffOp, bc, S_sign)
15 default_arg('S_sign', 1);
16 assertType(bc, 'cell');
17 assert(S_sign == 1 || S_sign == -1, 'S_sign must be either 1 or -1');
18
19
20 % Setup storage arrays
21 closure = spzeros(size(diffOp));
22 gridDataPenalties = {};
23 gridDataFunctions = {};
24 symbolicDataPenalties = {};
25 symbolicDataFunctions = {};
26 symbolicDataCoords = {};
27
28 % Collect closures, penalties and data
29 for i = 1:length(bc)
30 assertType(bc{i}, 'struct');
31 [localClosure, penalty] = diffOp.boundary_condition(bc{i}.boundary, bc{i}.type);
32 closure = closure + localClosure;
33
34 if ~isfield(bc{i},'data') || isempty(bc{i}.data)
35 % Skip to next loop if there is no data
36 continue
37 end
38 assertType(bc{i}.data, 'function_handle');
39
40 % Find dimension
41 dim = size(diffOp.grid.getBoundary(bc{i}.boundary), 2);
42
43 if nargin(bc{i}.data) == 1
44 % Grid data
45 boundarySize = [size(diffOp.grid.getBoundary(bc{i}.boundary),1),1];
46 assertSize(bc{i}.data(0), boundarySize); % Eval for t = 0 and make sure the function returns a grid vector of the correct size.
47 gridDataPenalties{end+1} = penalty;
48 gridDataFunctions{end+1} = bc{i}.data;
49 elseif nargin(bc{i}.data) == 1+dim
50 % Symbolic data
51 coord = diffOp.grid.getBoundary(bc{i}.boundary);
52 symbolicDataPenalties{end+1} = penalty;
53 symbolicDataFunctions{end+1} = bc{i}.data;
54 symbolicDataCoords{end+1} = num2cell(coord ,1);
55 else
56 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);
57 end
58 end
59
60 % Setup penalty function
61 O = spzeros(size(diffOp),1);
62 function v = S_fun(t)
63 v = O;
64 for i = 1:length(gridDataFunctions)
65 v = v + gridDataPenalties{i}*gridDataFunctions{i}(t);
66 end
67
68 for i = 1:length(symbolicDataFunctions)
69 v = v + symbolicDataPenalties{i}*symbolicDataFunctions{i}(t, symbolicDataCoords{i}{:});
70 end
71
72 v = S_sign * v;
73 end
74 S = @S_fun;
75 end