Mercurial > repos > public > sbplib
annotate +scheme/Laplace1d.m @ 1305:b5907140c069 feature/poroelastic
Clean up hollow D2 generation by using precomputed coefficients stored in mat files
| author | Martin Almquist <malmquist@stanford.edu> |
|---|---|
| date | Mon, 13 Jul 2020 14:21:41 -0700 |
| parents | cab047de7f5d |
| children | 2b1b944deae1 c12b84fe9b00 |
| rev | line source |
|---|---|
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950
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Rename *2D schemes to *2d
Jonatan Werpers <jonatan@werpers.com>
parents:
946
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changeset
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1 classdef Laplace1d < scheme.Scheme |
| 0 | 2 properties |
| 898 | 3 grid |
| 0 | 4 order % Order accuracy for the approximation |
| 5 | |
| 6 D % non-stabalized scheme operator | |
| 7 H % Discrete norm | |
| 8 M % Derivative norm | |
|
896
09c5fbc783d3
Rename and mordernize scheme.Wave to scheme.Laplace1d. Not fully converted
Jonatan Werpers <jonatan@werpers.com>
parents:
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changeset
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9 a |
| 0 | 10 |
| 11 D2 | |
| 12 Hi | |
| 13 e_l | |
| 14 e_r | |
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Rename and mordernize scheme.Wave to scheme.Laplace1d. Not fully converted
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parents:
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15 d_l |
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09c5fbc783d3
Rename and mordernize scheme.Wave to scheme.Laplace1d. Not fully converted
Jonatan Werpers <jonatan@werpers.com>
parents:
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diff
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16 d_r |
| 0 | 17 gamm |
| 18 end | |
| 19 | |
| 20 methods | |
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Rename *2D schemes to *2d
Jonatan Werpers <jonatan@werpers.com>
parents:
946
diff
changeset
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21 function obj = Laplace1d(grid, order, a) |
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Rename and mordernize scheme.Wave to scheme.Laplace1d. Not fully converted
Jonatan Werpers <jonatan@werpers.com>
parents:
141
diff
changeset
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22 default_arg('a', 1); |
| 0 | 23 |
| 898 | 24 assertType(grid, 'grid.Cartesian'); |
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896
09c5fbc783d3
Rename and mordernize scheme.Wave to scheme.Laplace1d. Not fully converted
Jonatan Werpers <jonatan@werpers.com>
parents:
141
diff
changeset
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25 |
| 898 | 26 ops = sbp.D2Standard(grid.size(), grid.lim{1}, order); |
| 0 | 27 |
| 898 | 28 obj.D2 = sparse(ops.D2); |
| 29 obj.H = sparse(ops.H); | |
| 30 obj.Hi = sparse(ops.HI); | |
| 31 obj.M = sparse(ops.M); | |
| 32 obj.e_l = sparse(ops.e_l); | |
| 33 obj.e_r = sparse(ops.e_r); | |
| 34 obj.d_l = -sparse(ops.d1_l); | |
| 35 obj.d_r = sparse(ops.d1_r); | |
| 0 | 36 |
| 37 | |
| 898 | 38 obj.grid = grid; |
| 0 | 39 obj.order = order; |
| 40 | |
|
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Rename and mordernize scheme.Wave to scheme.Laplace1d. Not fully converted
Jonatan Werpers <jonatan@werpers.com>
parents:
141
diff
changeset
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41 obj.a = a; |
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09c5fbc783d3
Rename and mordernize scheme.Wave to scheme.Laplace1d. Not fully converted
Jonatan Werpers <jonatan@werpers.com>
parents:
141
diff
changeset
|
42 obj.D = a*obj.D2; |
| 0 | 43 |
| 898 | 44 obj.gamm = grid.h*ops.borrowing.M.S; |
| 0 | 45 end |
| 46 | |
| 47 | |
| 48 % Closure functions return the opertors applied to the own doamin to close the boundary | |
| 49 % Penalty functions return the opertors to force the solution. In the case of an interface it returns the operator applied to the other doamin. | |
| 50 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'. | |
| 51 % type is a string specifying the type of boundary condition if there are several. | |
| 52 % data is a function returning the data that should be applied at the boundary. | |
| 53 % neighbour_scheme is an instance of Scheme that should be interfaced to. | |
| 54 % neighbour_boundary is a string specifying which boundary to interface to. | |
| 55 function [closure, penalty] = boundary_condition(obj,boundary,type,data) | |
| 56 default_arg('type','neumann'); | |
| 57 default_arg('data',0); | |
| 58 | |
| 59 [e,d,s] = obj.get_boundary_ops(boundary); | |
| 60 | |
| 61 switch type | |
| 62 % Dirichlet boundary condition | |
| 63 case {'D','dirichlet'} | |
| 64 tuning = 1.1; | |
| 898 | 65 tau1 = -tuning/obj.gamm; |
| 66 tau2 = 1; | |
| 0 | 67 |
| 898 | 68 tau = tau1*e + tau2*d; |
| 0 | 69 |
| 898 | 70 closure = obj.a*obj.Hi*tau*e'; |
| 71 penalty = obj.a*obj.Hi*tau; | |
| 0 | 72 |
| 73 % Neumann boundary condition | |
| 74 case {'N','neumann'} | |
| 898 | 75 tau = -e; |
| 0 | 76 |
| 898 | 77 closure = obj.a*obj.Hi*tau*d'; |
| 78 penalty = -obj.a*obj.Hi*tau; | |
| 0 | 79 |
| 80 % Unknown, boundary condition | |
| 81 otherwise | |
| 82 error('No such boundary condition: type = %s',type); | |
| 83 end | |
| 84 end | |
| 85 | |
|
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Raname opts to type in a bunch of interface methods
Jonatan Werpers <jonatan@werpers.com>
parents:
943
diff
changeset
|
86 function [closure, penalty] = interface(obj, boundary, neighbour_scheme, neighbour_boundary, type) |
| 0 | 87 % u denotes the solution in the own domain |
| 88 % v denotes the solution in the neighbour domain | |
| 898 | 89 |
| 0 | 90 [e_u,d_u,s_u] = obj.get_boundary_ops(boundary); |
| 91 [e_v,d_v,s_v] = neighbour_scheme.get_boundary_ops(neighbour_boundary); | |
| 92 | |
| 93 | |
| 898 | 94 a_u = obj.a; |
| 95 a_v = neighbour_scheme.a; | |
| 0 | 96 |
| 97 gamm_u = obj.gamm; | |
| 98 gamm_v = neighbour_scheme.gamm; | |
| 99 | |
| 898 | 100 tuning = 1.1; |
|
946
706d1c2b4199
Raname opts to type in a bunch of interface methods
Jonatan Werpers <jonatan@werpers.com>
parents:
943
diff
changeset
|
101 |
| 898 | 102 tau1 = -(a_u/gamm_u + a_v/gamm_v) * tuning; |
| 103 tau2 = 1/2*a_u; | |
| 104 sig1 = -1/2; | |
| 0 | 105 sig2 = 0; |
| 106 | |
| 107 tau = tau1*e_u + tau2*d_u; | |
| 108 sig = sig1*e_u + sig2*d_u; | |
| 109 | |
| 898 | 110 closure = obj.Hi*( tau*e_u' + sig*a_u*d_u'); |
| 111 penalty = obj.Hi*(-tau*e_v' + sig*a_v*d_v'); | |
| 0 | 112 end |
| 113 | |
| 114 % Ruturns the boundary ops and sign for the boundary specified by the string boundary. | |
| 115 % The right boundary is considered the positive boundary | |
| 116 function [e,d,s] = get_boundary_ops(obj,boundary) | |
| 117 switch boundary | |
| 118 case 'l' | |
| 119 e = obj.e_l; | |
|
896
09c5fbc783d3
Rename and mordernize scheme.Wave to scheme.Laplace1d. Not fully converted
Jonatan Werpers <jonatan@werpers.com>
parents:
141
diff
changeset
|
120 d = obj.d_l; |
| 0 | 121 s = -1; |
| 122 case 'r' | |
| 123 e = obj.e_r; | |
|
896
09c5fbc783d3
Rename and mordernize scheme.Wave to scheme.Laplace1d. Not fully converted
Jonatan Werpers <jonatan@werpers.com>
parents:
141
diff
changeset
|
124 d = obj.d_r; |
| 0 | 125 s = 1; |
| 126 otherwise | |
| 127 error('No such boundary: boundary = %s',boundary); | |
| 128 end | |
| 129 end | |
| 130 | |
| 131 function N = size(obj) | |
| 898 | 132 N = obj.grid.size(); |
| 0 | 133 end |
| 134 | |
| 135 end | |
| 136 | |
| 137 methods(Static) | |
| 138 % Calculates the matrcis need for the inteface coupling between boundary bound_u of scheme schm_u | |
| 139 % and bound_v of scheme schm_v. | |
| 140 % [uu, uv, vv, vu] = inteface_couplong(A,'r',B,'l') | |
| 141 function [uu, uv, vv, vu] = interface_coupling(schm_u,bound_u,schm_v,bound_v) | |
| 142 [uu,uv] = schm_u.interface(bound_u,schm_v,bound_v); | |
| 143 [vv,vu] = schm_v.interface(bound_v,schm_u,bound_u); | |
| 144 end | |
| 145 end | |
| 146 end |