sbplib: +scheme/Beam.m annotate

annotate +scheme/Beam.m @ 1198:2924b3a9b921 feature/d2_compatible

Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.

author	Martin Almquist <malmquist@stanford.edu>
date	Fri, 16 Aug 2019 14:30:28 -0700
parents	0c504a21432d
children

rev	line source
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	1 classdef Beam < scheme.Scheme
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	2 properties
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	3 order % Order accuracy for the approximation
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	4 grid
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	5
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	6 D % non-stabalized scheme operator
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	7 alpha
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	8
242 f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	9 h
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	10 H % Discrete norm
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	11 Hi
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	12
328 31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	13 e_l, e_r
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	14 d1_l, d1_r
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	15 d2_l, d2_r
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	16 d3_l, d3_r
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	17 gamm
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	18 delt
242 f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	19 alphaII
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	20 alphaIII
240 46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	21
944 a35ed1d124d3 Change from opts to type in a few schemes Jonatan Werpers <jonatan@werpers.com> parents: 910 diff changeset	22 opt % TODO: Get rid of this and use the interface type instead
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	23 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	24
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	25 methods
240 46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	26 function obj = Beam(grid, order, alpha, opsGen, opt)
236 8592358a3935 Beam: Added tuning as a parameter to contructor. Jonatan Werpers <jonatan@werpers.com> parents: 235 diff changeset	27 default_arg('alpha', -1);
240 46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	28
328 31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	29 % default_arg('opsGen', @sbp.D4);
31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	30 default_arg('opsGen', @sbp.D4Variable); % Supposed to be better
240 46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	31
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	32 opt_default.interface_l.tuning = 1.1;
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	33 opt_default.interface_l.tau = [];
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	34 opt_default.interface_l.sig = [];
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	35 opt_default.interface_r.tuning = 1.1;
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	36 opt_default.interface_r.tau = [];
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	37 opt_default.interface_r.sig = [];
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	38 default_struct('opt', opt_default);
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	39
176 d095b5396103 Fixed some bugs in Beam schemes. Jonatan Werpers <jonatan@werpers.com> parents: 175 diff changeset	40 if ~isa(grid, 'grid.Cartesian') \|\| grid.D() ~= 1
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	41 error('Grid must be 1d cartesian');
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	42 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	43
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	44 obj.grid = grid;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	45 obj.order = order;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	46 obj.alpha = alpha;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	47
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	48 m = grid.m;
176 d095b5396103 Fixed some bugs in Beam schemes. Jonatan Werpers <jonatan@werpers.com> parents: 175 diff changeset	49 h = grid.scaling();
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	50
328 31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	51 x_lim = {grid.x{1}(1), grid.x{1}(end)};
31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	52 ops = opsGen(m, x_lim, order);
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	53
328 31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	54 D4 = ops.D4;
31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	55 obj.H = ops.H;
31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	56 obj.Hi = ops.HI;
31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	57 obj.e_l = ops.e_l;
31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	58 obj.e_r = ops.e_r;
31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	59 obj.d1_l = ops.d1_l;
31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	60 obj.d1_r = ops.d1_r;
31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	61 obj.d2_l = ops.d2_l;
31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	62 obj.d2_r = ops.d2_r;
31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	63 obj.d3_l = ops.d3_l;
31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	64 obj.d3_r = ops.d3_r;
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	65
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	66 obj.D = alpha*D4;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	67
328 31d6698c1edf Clean up and fixing of new operators Jonatan Werpers <jonatan@werpers.com> parents: 245 diff changeset	68 alphaII = ops.borrowing.N.S2/2;
240 46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	69 alphaIII = ops.borrowing.N.S3/2;
239 ba56e0d621f2 Beam: Added ability to pick alphaII and alphaIII to control tau and sigma. Jonatan Werpers <jonatan@werpers.com> parents: 236 diff changeset	70
ba56e0d621f2 Beam: Added ability to pick alphaII and alphaIII to control tau and sigma. Jonatan Werpers <jonatan@werpers.com> parents: 236 diff changeset	71 obj.gamm = h*alphaII;
ba56e0d621f2 Beam: Added ability to pick alphaII and alphaIII to control tau and sigma. Jonatan Werpers <jonatan@werpers.com> parents: 236 diff changeset	72 obj.delt = h^3*alphaIII;
242 f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	73 obj.alphaII = alphaII;
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	74 obj.alphaIII = alphaIII;
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	75 obj.h = h;
240 46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	76 obj.opt = opt;
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	77 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	78
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	79
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	80 % Closure functions return the opertors applied to the own doamin to close the boundary
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	81 % Penalty functions return the opertors to force the solution. In the case of an interface it returns the operator applied to the other doamin.
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	82 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'.
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	83 % type is a string specifying the type of boundary condition if there are several.
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	84 % neighbour_scheme is an instance of Scheme that should be interfaced to.
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	85 % neighbour_boundary is a string specifying which boundary to interface to.
220 5df8d20281fe Made scheme boundary_condition return a cell array of penalties if there are several of them. Jonatan Werpers <jonatan@werpers.com> parents: 176 diff changeset	86 function [closure, penalty] = boundary_condition(obj,boundary,type)
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	87 default_arg('type','dn');
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	88
1045 dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	89 e = obj.getBoundaryOperator('e', boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	90 d1 = obj.getBoundaryOperator('d1', boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	91 d2 = obj.getBoundaryOperator('d2', boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	92 d3 = obj.getBoundaryOperator('d3', boundary);
998 2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	93 s = obj.getBoundarySign(boundary);
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	94 gamm = obj.gamm;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	95 delt = obj.delt;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	96
545 dfb27a7e801f Add todo to Beam Jonatan Werpers <jonatan@werpers.com> parents: 340 diff changeset	97
dfb27a7e801f Add todo to Beam Jonatan Werpers <jonatan@werpers.com> parents: 340 diff changeset	98 % TODO: Can this be simplifed? Can I handle conditions on u on its own, u_x on its own ...
dfb27a7e801f Add todo to Beam Jonatan Werpers <jonatan@werpers.com> parents: 340 diff changeset	99
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	100 switch type
339 3135e13ae509 Implemented free BC. Not tested yet. Jonatan Werpers <jonatan@werpers.com> parents: 329 diff changeset	101 case {'dn', 'clamped'} % Dirichlet-neumann boundary condition
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	102 alpha = obj.alpha;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	103
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	104 % tau1 < -alpha^2/gamma
220 5df8d20281fe Made scheme boundary_condition return a cell array of penalties if there are several of them. Jonatan Werpers <jonatan@werpers.com> parents: 176 diff changeset	105 % tuning = 2;
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	106 tuning = 1.1;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	107
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	108 tau1 = tuning * alpha/delt;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	109 tau4 = s*alpha;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	110
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	111 sig2 = tuning * alpha/gamm;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	112 sig3 = -s*alpha;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	113
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	114 tau = tau1e+tau4d3;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	115 sig = sig2d1+sig3d2;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	116
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	117 closure = obj.Hi(taue' + sig*d1');
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	118
223 96dedf892910 Fixed sign error in beam BC penalties. Jonatan Werpers <jonatan@werpers.com> parents: 220 diff changeset	119 penalty{1} = -obj.Hi*tau;
96dedf892910 Fixed sign error in beam BC penalties. Jonatan Werpers <jonatan@werpers.com> parents: 220 diff changeset	120 penalty{2} = -obj.Hi*sig;
339 3135e13ae509 Implemented free BC. Not tested yet. Jonatan Werpers <jonatan@werpers.com> parents: 329 diff changeset	121
3135e13ae509 Implemented free BC. Not tested yet. Jonatan Werpers <jonatan@werpers.com> parents: 329 diff changeset	122
3135e13ae509 Implemented free BC. Not tested yet. Jonatan Werpers <jonatan@werpers.com> parents: 329 diff changeset	123 case {'free'}
340 25ae8333ce2b scheme.Beam: Fixed stability of free bc. Jonatan Werpers <jonatan@werpers.com> parents: 339 diff changeset	124 a = obj.alpha;
339 3135e13ae509 Implemented free BC. Not tested yet. Jonatan Werpers <jonatan@werpers.com> parents: 329 diff changeset	125
3135e13ae509 Implemented free BC. Not tested yet. Jonatan Werpers <jonatan@werpers.com> parents: 329 diff changeset	126 tau = sad1;
3135e13ae509 Implemented free BC. Not tested yet. Jonatan Werpers <jonatan@werpers.com> parents: 329 diff changeset	127 sig = -sae;
3135e13ae509 Implemented free BC. Not tested yet. Jonatan Werpers <jonatan@werpers.com> parents: 329 diff changeset	128
3135e13ae509 Implemented free BC. Not tested yet. Jonatan Werpers <jonatan@werpers.com> parents: 329 diff changeset	129 closure = obj.Hi(taud2' + sig*d3');
3135e13ae509 Implemented free BC. Not tested yet. Jonatan Werpers <jonatan@werpers.com> parents: 329 diff changeset	130 penalty{1} = -obj.Hi*tau;
1041 25d0efdb0f75 Fix penalty bug in Beam Jonatan Werpers <jonatan@werpers.com> parents: 944 diff changeset	131 penalty{2} = -obj.Hi*sig;
339 3135e13ae509 Implemented free BC. Not tested yet. Jonatan Werpers <jonatan@werpers.com> parents: 329 diff changeset	132
617 4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	133 case 'e'
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	134 alpha = obj.alpha;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	135 tuning = 1.1;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	136
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	137 tau1 = tuning * alpha/delt;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	138 tau4 = s*alpha;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	139
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	140 tau = tau1e+tau4d3;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	141
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	142 closure = obj.Hitaue';
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	143 penalty = -obj.Hi*tau;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	144 case 'd1'
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	145 alpha = obj.alpha;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	146
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	147 tuning = 1.1;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	148
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	149 sig2 = tuning * alpha/gamm;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	150 sig3 = -s*alpha;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	151
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	152 sig = sig2d1+sig3d2;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	153
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	154 closure = obj.Hisigd1';
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	155 penalty = -obj.Hi*sig;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	156
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	157 case 'd2'
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	158 a = obj.alpha;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	159
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	160 tau = sad1;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	161
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	162 closure = obj.Hitaud2';
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	163 penalty = -obj.Hi*tau;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	164 case 'd3'
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	165 a = obj.alpha;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	166
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	167 sig = -sae;
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	168
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	169 closure = obj.Hisigd3';
4ced7d47bd1f Beam: Add ability to set one BC at a time Jonatan Werpers <jonatan@werpers.com> parents: 545 diff changeset	170 penalty = -obj.Hi*sig;
339 3135e13ae509 Implemented free BC. Not tested yet. Jonatan Werpers <jonatan@werpers.com> parents: 329 diff changeset	171
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	172 otherwise % Unknown, boundary condition
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	173 error('No such boundary condition: type = %s',type);
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	174 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	175 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	176
944 a35ed1d124d3 Change from opts to type in a few schemes Jonatan Werpers <jonatan@werpers.com> parents: 910 diff changeset	177 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary, type)
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	178 % u denotes the solution in the own domain
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	179 % v denotes the solution in the neighbour domain
1045 dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	180 e_u = obj.getBoundaryOperator('e', boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	181 d1_u = obj.getBoundaryOperator('d1', boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	182 d2_u = obj.getBoundaryOperator('d2', boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	183 d3_u = obj.getBoundaryOperator('d3', boundary);
998 2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	184 s_u = obj.getBoundarySign(boundary);
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	185
1045 dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	186 e_v = neighbour_scheme.getBoundaryOperator('e', neighbour_boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	187 d1_v = neighbour_scheme.getBoundaryOperator('d1', neighbour_boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	188 d2_v = neighbour_scheme.getBoundaryOperator('d2', neighbour_boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	189 d3_v = neighbour_scheme.getBoundaryOperator('d3', neighbour_boundary);
998 2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	190 s_v = neighbour_scheme.getBoundarySign(neighbour_boundary);
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	191
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	192 alpha_u = obj.alpha;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	193 alpha_v = neighbour_scheme.alpha;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	194
240 46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	195 switch boundary
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	196 case 'l'
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	197 interface_opt = obj.opt.interface_l;
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	198 case 'r'
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	199 interface_opt = obj.opt.interface_r;
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	200 end
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	201
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	202
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	203 if isempty(interface_opt.tau) && isempty(interface_opt.sig)
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	204 gamm_u = obj.gamm;
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	205 delt_u = obj.delt;
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	206
240 46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	207 gamm_v = neighbour_scheme.gamm;
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	208 delt_v = neighbour_scheme.delt;
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	209
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	210 tuning = interface_opt.tuning;
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	211
240 46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	212 tau1 = ((alpha_u/2)/delt_u + (alpha_v/2)/delt_v)/2*tuning;
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	213 sig2 = ((alpha_u/2)/gamm_u + (alpha_v/2)/gamm_v)/2*tuning;
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	214 else
242 f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	215 h_u = obj.h;
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	216 h_v = neighbour_scheme.h;
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	217
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	218 switch neighbour_boundary
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	219 case 'l'
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	220 neighbour_interface_opt = neighbour_scheme.opt.interface_l;
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	221 case 'r'
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	222 neighbour_interface_opt = neighbour_scheme.opt.interface_r;
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	223 end
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	224
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	225 tau_u = interface_opt.tau;
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	226 sig_u = interface_opt.sig;
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	227 tau_v = neighbour_interface_opt.tau;
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	228 sig_v = neighbour_interface_opt.sig;
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	229
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	230 tau1 = tau_u/h_u^3 + tau_v/h_v^3;
f4306afd6849 Beam: improvements. Jonatan Werpers <jonatan@werpers.com> parents: 240 diff changeset	231 sig2 = sig_u/h_u + sig_v/h_v;
240 46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	232 end
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	233
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	234 tau4 = s_u*alpha_u/2;
46256fffa329 Added some stuff for default structs. Improved interface for beam. Jonatan Werpers <jonatan@werpers.com> parents: 239 diff changeset	235 sig3 = -s_u*alpha_u/2;
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	236 phi2 = s_u*1/2;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	237 psi1 = -s_u*1/2;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	238
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	239 tau = tau1e_u + tau4d3_u;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	240 sig = sig2d1_u + sig3d2_u ;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	241 phi = phi2*d1_u ;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	242 psi = psi1*e_u ;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	243
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	244 closure = obj.Hi(taue_u' + sigd1_u' + phialpha_ud2_u' + psialpha_u*d3_u');
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	245 penalty = -obj.Hi(taue_v' + sigd1_v' + phialpha_vd2_v' + psialpha_v*d3_v');
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	246 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	247
998 2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	248 % Returns the boundary operator op for the boundary specified by the string boundary.
1045 dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	249 % op -- string
998 2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	250 % boundary -- string
1045 dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes Jonatan Werpers <jonatan@werpers.com> parents: 1044 diff changeset	251 function o = getBoundaryOperator(obj, op, boundary)
1046 19ed046aec52 Clean up getBoundaryOps for a few schemes Jonatan Werpers <jonatan@werpers.com> parents: 1045 diff changeset	252 assertIsMember(op, {'e', 'd1', 'd2', 'd3'})
1042 8d73fcdb07a5 Add asserts to boundary identifier inputs Jonatan Werpers <jonatan@werpers.com> parents: 998 diff changeset	253 assertIsMember(boundary, {'l', 'r'})
998 2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	254
1046 19ed046aec52 Clean up getBoundaryOps for a few schemes Jonatan Werpers <jonatan@werpers.com> parents: 1045 diff changeset	255 o = obj.([op, '_', boundary]);
998 2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	256 end
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	257
1049 0c504a21432d Add getBoundaryQuadrature to all 1d diffOps Martin Almquist <malmquist@stanford.edu> parents: 1046 diff changeset	258 % Returns square boundary quadrature matrix, of dimension
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps Martin Almquist <malmquist@stanford.edu> parents: 1046 diff changeset	259 % corresponding to the number of boundary points
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps Martin Almquist <malmquist@stanford.edu> parents: 1046 diff changeset	260 %
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps Martin Almquist <malmquist@stanford.edu> parents: 1046 diff changeset	261 % boundary -- string
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps Martin Almquist <malmquist@stanford.edu> parents: 1046 diff changeset	262 % Note: for 1d diffOps, the boundary quadrature is the scalar 1.
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps Martin Almquist <malmquist@stanford.edu> parents: 1046 diff changeset	263 function H_b = getBoundaryQuadrature(obj, boundary)
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps Martin Almquist <malmquist@stanford.edu> parents: 1046 diff changeset	264 assertIsMember(boundary, {'l', 'r'})
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps Martin Almquist <malmquist@stanford.edu> parents: 1046 diff changeset	265
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps Martin Almquist <malmquist@stanford.edu> parents: 1046 diff changeset	266 H_b = 1;
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps Martin Almquist <malmquist@stanford.edu> parents: 1046 diff changeset	267 end
0c504a21432d Add getBoundaryQuadrature to all 1d diffOps Martin Almquist <malmquist@stanford.edu> parents: 1046 diff changeset	268
998 2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	269 % Returns the boundary sign. The right boundary is considered the positive boundary
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	270 % boundary -- string
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	271 function s = getBoundarySign(obj, boundary)
1042 8d73fcdb07a5 Add asserts to boundary identifier inputs Jonatan Werpers <jonatan@werpers.com> parents: 998 diff changeset	272 assertIsMember(boundary, {'l', 'r'})
8d73fcdb07a5 Add asserts to boundary identifier inputs Jonatan Werpers <jonatan@werpers.com> parents: 998 diff changeset	273
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	274 switch boundary
998 2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	275 case {'r'}
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	276 s = 1;
2b1b944deae1 Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?) Martin Almquist <malmquist@stanford.edu> parents: 944 diff changeset	277 case {'l'}
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	278 s = -1;
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	279 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	280 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	281
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	282 function N = size(obj)
224 05304d7792dc Fixed type in scheme.Beam Jonatan Werpers <jonatan@werpers.com> parents: 223 diff changeset	283 N = obj.grid.N;
175 8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	284 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	285
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	286 end
8f22829b69d0 Added and upgraded schemes for the beam equation in 1d and 2d. Jonatan Werpers <jonatan@werpers.com> parents: diff changeset	287 end

Mercurial > repos > public > sbplib

annotate +scheme/Beam.m @ 1198:2924b3a9b921 feature/d2_compatible