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annotate +scheme/bcSetup.m @ 785:c02b6d03c77c bcSetupExperiment

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Change name from bc to bcs
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 24 Jul 2018 15:55:45 -0700
parents 0776fa4754ff
children 18ce4b1ab3e1
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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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20 % Setup storage arrays
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21 closure = spzeros(size(diffOp));
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22 gridDataPenalties = {};
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23 gridDataFunctions = {};
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24 symbolicDataPenalties = {};
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25 symbolicDataFunctions = {};
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26 symbolicDataCoords = {};
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27
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28 % Collect closures, penalties and data
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29 for i = 1:length(bcs)
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30 assertType(bcs{i}, 'struct');
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31 [localClosure, penalty] = diffOp.boundary_condition(bcs{i}.boundary, bcs{i}.type);
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32 closure = closure + localClosure;
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33
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34 if ~isfield(bcs{i},'data') || isempty(bcs{i}.data)
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35 % Skip to next loop if there is no data
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36 continue
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37 end
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38 assertType(bcs{i}.data, 'function_handle');
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39
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40 % Find dimension
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41 dim = size(diffOp.grid.getBoundary(bcs{i}.boundary), 2);
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42
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43 if nargin(bcs{i}.data) == 1
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44 % Grid data
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45 boundarySize = [size(diffOp.grid.getBoundary(bcs{i}.boundary),1),1];
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46 assertSize(bcs{i}.data(0), boundarySize); % Eval for t = 0 and make sure the function returns a grid vector of the correct size.
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47 gridDataPenalties{end+1} = penalty;
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48 gridDataFunctions{end+1} = bcs{i}.data;
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49 elseif nargin(bcs{i}.data) == 1+dim
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50 % Symbolic data
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51 coord = diffOp.grid.getBoundary(bcs{i}.boundary);
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52 symbolicDataPenalties{end+1} = penalty;
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53 symbolicDataFunctions{end+1} = bcs{i}.data;
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54 symbolicDataCoords{end+1} = num2cell(coord ,1);
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55 else
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56 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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57 end
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58 end
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59
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60 % Setup penalty function
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61 O = spzeros(size(diffOp),1);
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62 function v = S_fun(t)
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63 v = O;
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64 for i = 1:length(gridDataFunctions)
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65 v = v + gridDataPenalties{i}*gridDataFunctions{i}(t);
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66 end
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68 for i = 1:length(symbolicDataFunctions)
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69 v = v + symbolicDataPenalties{i}*symbolicDataFunctions{i}(t, symbolicDataCoords{i}{:});
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70 end
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72 v = S_sign * v;
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73 end
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74 S = @S_fun;
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75 end
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77 function parseData()
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78
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79 end
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80