1 |
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2 | %'calc_field_tps': defines fields (velocity, vort, div...) from civ data and calculate them with tps interpolation
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3 | %---------------------------------------------------------------------
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4 | % [DataOut,VarAttribute,errormsg]=calc_field_tps(Coord_tps,NbCentre,SubRange,FieldVar,FieldName,Coord_interp)
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5 | %
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6 | % OUTPUT:
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7 | % DataOut: structure representing the output fields
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8 | % VarAttribute: cell array of structures coontaining the variable attributes
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9 | % errormsg: error msg , = '' by default
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10 | %
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11 | % INPUT:
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12 | % Coord_tps: coordinates of the centres, of dimensions [nb_point,nb_coord,nb_subdomain], where
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13 | % nb_point is the max number of data point in a subdomain,
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14 | % nb_coord the space dimension,
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15 | % nb_subdomain the nbre of subdomains used for tps
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16 | % NbCentre: nbre of tps centres for each subdomain, of dimension nb_subdomain
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17 | % SubRange: coordinate range for each subdomain, of dimensions [nb_coord,2,nb_subdomain]
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18 | % FieldVar: array representing the input fields as tps weights with dimension (nbvec_sub+3,NbSubDomain,nb_dim)
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19 | % nbvec_sub= max nbre of vectors in a subdomain
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20 | % NbSubDomain =nbre of subdomains
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21 | % nb_dim: nbre of dimensions for vector components (x-> 1, y->2)
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22 | % FieldName: cell array representing the list of operations (eg div(U,V), rot(U,V))
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23 | % Coord_interp: coordinates of sites on which the fields need to be calculated of dimensions
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24 | % [nb_site,nb_coord] for an array of interpolation sites
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25 | % [nb_site_y,nb_site_x,nb_coord] for interpolation on a plane grid of size [nb_site_y,nb_site_x]
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26 |
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27 | %=======================================================================
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28 | % Copyright 2008-2019, LEGI UMR 5519 / CNRS UGA G-INP, Grenoble, France
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29 | % http://www.legi.grenoble-inp.fr
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30 | % Joel.Sommeria - Joel.Sommeria (A) legi.cnrs.fr
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31 | %
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32 | % This file is part of the toolbox UVMAT.
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33 | %
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34 | % UVMAT is free software; you can redistribute it and/or modify
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35 | % it under the terms of the GNU General Public License as published
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36 | % by the Free Software Foundation; either version 2 of the license,
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37 | % or (at your option) any later version.
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38 | %
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39 | % UVMAT is distributed in the hope that it will be useful,
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40 | % but WITHOUT ANY WARRANTY; without even the implied warranty of
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41 | % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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42 | % GNU General Public License (see LICENSE.txt) for more details.
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43 | %=======================================================================
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44 |
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45 | function [DataOut,VarAttribute,errormsg]=calc_field_tps(Coord_tps,NbCentre,SubRange,FieldVar,FieldName,Coord_interp)
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46 |
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47 | %list of defined scalars to display in menus (in addition to 'ima_cor').
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48 | % a type is associated to each scalar:
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49 | % 'discrete': related to the individual velocity vectors, not interpolated by patch
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50 | % 'vel': calculated from velocity components, continuous field (interpolated with velocity)
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51 | % 'der': needs spatial derivatives
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52 | % 'var': the scalar name corresponds to a field name in the netcdf files
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53 | % a specific variable name for civ1 and civ2 fields are also associated, if
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54 | % the scalar is calculated from other fields, as explicited below
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55 | errormsg='';
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56 |
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57 | %% nbre of subdomains
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58 | if ndims(Coord_interp)==3
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59 | nb_coord=size(Coord_interp,3);
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60 | npx=size(Coord_interp,2);
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61 | npy=size(Coord_interp,1);
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62 | nb_sites=npx*npy;
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63 | Coord_interp=reshape(Coord_interp,nb_sites,nb_coord);
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64 | else
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65 | nb_coord=size(Coord_interp,2);
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66 | nb_sites=size(Coord_interp,1);
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67 | end
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68 | NbSubDomain=size(Coord_tps,3);
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69 | nbval=zeros(nb_sites,1);
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70 |
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71 | %% list of operations
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72 | check_grid=0;
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73 | check_der=0;
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74 | check_vec=0;
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75 | check_remove=false(size(FieldName));
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76 | VarAttribute={};
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77 | for ilist=1:length(FieldName)
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78 | FieldNameType=regexprep(FieldName{ilist},'(.+','');% detect the char string before the parenthesis
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79 | VarAttributeNew={};
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80 | switch FieldNameType
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81 | case 'vec'
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82 | check_grid=1;
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83 | DataOut.U=zeros(nb_sites,1);
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84 | DataOut.V=zeros(nb_sites,1);
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85 | VarAttributeNew{1}.Role='vector_x';
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86 | VarAttributeNew{2}.Role='vector_y';
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87 | check_vec=1;
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88 | case {'U','V'}
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89 | if check_vec% no new data needed
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90 | check_remove(ilist)=1;
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91 | else
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92 | check_grid=1;
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93 | DataOut.(FieldNameType)=zeros(nb_sites,1);
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94 | VarAttributeNew{1}.Role='scalar';
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95 | end
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96 | case 'norm'
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97 | check_grid=1;
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98 | DataOut.(FieldNameType)=zeros(nb_sites,1);
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99 | VarAttributeNew{1}.Role='scalar';
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100 | case {'curl','div','strain'}
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101 | check_der=1;
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102 | DataOut.(FieldNameType)=zeros(nb_sites,1);
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103 | VarAttributeNew{1}.Role='scalar';
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104 | end
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105 | VarAttribute=[VarAttribute VarAttributeNew];
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106 | end
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107 | %Attr_FF.Role='errorflag';
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108 | %VarAttribute=[VarAttribute {Attr_FF}];
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109 | FieldName(check_remove)=[];
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110 |
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111 | %% loop on subdomains
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112 | for isub=1:NbSubDomain
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113 | nbvec_sub=NbCentre(isub);
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114 | check_range=(Coord_interp >=ones(nb_sites,1)*SubRange(:,1,isub)' & Coord_interp<=ones(nb_sites,1)*SubRange(:,2,isub)');
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115 | ind_sel=find(sum(check_range,2)==nb_coord);% select points whose all coordinates are in the prescribed range
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116 | nbval(ind_sel)=nbval(ind_sel)+1;% records the number of values for eacn interpolation point (in case of subdomain overlap)
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117 | if check_grid
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118 | EM = tps_eval(Coord_interp(ind_sel,:),Coord_tps(1:nbvec_sub,:,isub));%kernels for calculating the velocity from tps 'sources'
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119 | end
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120 | if check_der
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121 | [EMDX,EMDY] = tps_eval_dxy(Coord_interp(ind_sel,:),Coord_tps(1:nbvec_sub,:,isub));%kernels for calculating the spatial derivatives from tps 'sources'
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122 | end
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123 | for ilist=1:length(FieldName)
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124 | switch FieldName{ilist}
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125 | case 'vec(U,V)'
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126 | DataOut.U(ind_sel)=DataOut.U(ind_sel)+EM *FieldVar(1:nbvec_sub+3,isub,1);
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127 | DataOut.V(ind_sel)=DataOut.V(ind_sel)+EM *FieldVar(1:nbvec_sub+3,isub,2);
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128 | case 'U'
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129 | DataOut.U(ind_sel)=DataOut.U(ind_sel)+EM *FieldVar(1:nbvec_sub+3,isub,1);
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130 | case 'V'
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131 | DataOut.V(ind_sel)=DataOut.V(ind_sel)+EM *FieldVar(1:nbvec_sub+3,isub,2);
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132 | case 'norm(U,V)'
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133 | U=DataOut.U(ind_sel)+EM *FieldVar(1:nbvec_sub+3,isub,1);
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134 | V=DataOut.V(ind_sel)+EM *FieldVar(1:nbvec_sub+3,isub,2);
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135 | DataOut.norm(ind_sel)=sqrt(U.*U+V.*V);
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136 | case 'curl(U,V)'
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137 | DataOut.curl(ind_sel)=DataOut.curl(ind_sel)-EMDY *FieldVar(1:nbvec_sub+3,isub,1)+EMDX *FieldVar(1:nbvec_sub+3,isub,2);
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138 | case 'div(U,V)'
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139 | DataOut.div(ind_sel)=DataOut.div(ind_sel)+EMDX*FieldVar(1:nbvec_sub+3,isub,1)+EMDY *FieldVar(1:nbvec_sub+3,isub,2);
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140 | % case 'curl_polar(U,V)'
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141 | % DataOut.curl(ind_sel)=DataOut.curl(ind_sel)+(-EMDY *FieldVar(1:nbvec_sub+3,isub,1)+EMDX *(Coord_interp(ind_sel,1).*FieldVar(1:nbvec_sub+3,isub,2)))./Coord_interp(ind_sel,1);
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142 | case 'strain(U,V)'
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143 | DataOut.strain(ind_sel)=DataOut.strain(ind_sel)+EMDY*FieldVar(1:nbvec_sub+3,isub,1)+EMDX *FieldVar(1:nbvec_sub+3,isub,2);
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144 | end
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145 | end
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146 | end
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147 | nbval(nbval==0)=NaN;% to avoid division by zero for averaging
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148 | ListFieldOut=fieldnames(DataOut);
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149 | for ifield=1:numel(ListFieldOut)
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150 | DataOut.(ListFieldOut{ifield})=DataOut.(ListFieldOut{ifield})./nbval;
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151 | DataOut.(ListFieldOut{ifield})=reshape(DataOut.(ListFieldOut{ifield}),npy,npx);
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152 | end
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153 |
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154 |
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155 |
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156 |
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