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annotate +scheme/bcSetup.m @ 840:d8d71f652917 feature/grids

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Close feature/grids after merge to default
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 18 Sep 2018 15:58:12 +0200
parents 5cf9fdf4c98f
children 006defd0247b 57760d7088ad
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1 % function [closure, S] = bcSetup(diffOp, bc)
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2 % Takes a diffOp and a cell array of boundary condition definitions.
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3 % Each bc is a struct with the fields
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4 % * type -- Type of boundary condition
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5 % * boundary -- Boundary identifier
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6 % * data -- A function_handle for a function which provides boundary data.(see below)
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7 % Also takes S_sign which modifies the sign of S, [-1,1]
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8 % Returns a closure matrix and a forcing function S.
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9 %
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10 % The boundary data function can either be a function of time or a function of time and space coordinates.
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11 % In the case where it only depends on time it should return the data as grid function for the boundary.
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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.
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13 % For example in the 2D case: f(t,x,y).
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14 function [closure, S] = bcSetup(diffOp, bcs, S_sign)
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15 default_arg('S_sign', 1);
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16 assertType(bcs, 'cell');
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17 assert(S_sign == 1 || S_sign == -1, 'S_sign must be either 1 or -1');
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18
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19 verifyBcFormat(bcs, diffOp);
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21 % Setup storage arrays
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22 closure = spzeros(size(diffOp));
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23 gridData = {};
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24 symbolicData = {};
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25
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26 % Collect closures, penalties and data
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27 for i = 1:length(bcs)
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28 [localClosure, penalty] = diffOp.boundary_condition(bcs{i}.boundary, bcs{i}.type);
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29 closure = closure + localClosure;
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30
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31 [ok, isSym, data] = parseData(bcs{i}, penalty, diffOp.grid);
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32
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33 if ~ok
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34 % There was no data
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35 continue
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36 end
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37
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38 if isSym
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39 symbolicData{end+1} = data;
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40 else
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41 gridData{end+1} = data;
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42 end
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43 end
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44
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45 % Setup penalty function
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46 O = spzeros(size(diffOp),1);
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47 function v = S_fun(t)
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48 v = O;
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49 for i = 1:length(gridData)
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50 v = v + gridData{i}.penalty*gridData{i}.func(t);
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51 end
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52
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53 for i = 1:length(symbolicData)
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54 v = v + symbolicData{i}.penalty*symbolicData{i}.func(t, symbolicData{i}.coords{:});
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55 end
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56
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57 v = S_sign * v;
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58 end
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59 S = @S_fun;
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60 end
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61
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62 function verifyBcFormat(bcs, diffOp)
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63 for i = 1:length(bcs)
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64 assertType(bcs{i}, 'struct');
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65 assertStructFields(bcs{i}, {'type', 'boundary'});
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66
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67 if ~isfield(bcs{i}, 'data') || isempty(bcs{i}.data)
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68 continue
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69 end
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70
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71 if ~isa(bcs{i}.data, 'function_handle')
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72 error('bcs{%d}.data should be a function of time or a function of time and space',i);
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73 end
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74
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75 b = diffOp.grid.getBoundary(bcs{i}.boundary);
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76
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77 dim = size(b,2);
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78
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79 if nargin(bcs{i}.data) == 1
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80 % Grid data (only function of time)
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81 assertSize(bcs{i}.data(0), 1, size(b));
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82 elseif nargin(bcs{i}.data) ~= 1+dim
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83 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);
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84 end
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85 end
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86 end
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87
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88 function [ok, isSym, dataStruct] = parseData(bc, penalty, grid)
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89 if ~isfield(bc,'data') || isempty(bc.data)
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90 ok = false;
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91 return
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92 end
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93 ok = true;
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94
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95 nArg = nargin(bc.data);
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96
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97 if nArg > 1
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98 % Symbolic data
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99 isSym = true;
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100 coord = grid.getBoundary(bc.boundary);
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101 dataStruct.penalty = penalty;
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102 dataStruct.func = bc.data;
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103 dataStruct.coords = num2cell(coord, 1);
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104 else
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105 % Grid data
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106 isSym = false;
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107 dataStruct.penalty = penalty;
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108 dataStruct.func = bcs{i}.data;
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109 end
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110 end