source: trunk/src/calc_field_tps.m @ 997

Last change on this file since 997 was 977, checked in by g7moreau, 8 years ago
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1
2%'calc_field_tps': defines fields (velocity, vort, div...) from civ data and calculate them with tps interpolation
3%---------------------------------------------------------------------
4% [DataOut,VarAttribute,errormsg]=calc_field_tps(Coord_tps,NbCentre,SubRange,FieldVar,FieldName,Coord_interp)
5%
6% OUTPUT:
7% DataOut: structure representing the output fields
8% VarAttribute: cell array of structures coontaining the variable attributes
9% errormsg: error msg , = '' by default
10%
11% INPUT:
12% Coord_tps: coordinates of the centres, of dimensions [nb_point,nb_coord,nb_subdomain], where
13%            nb_point is the max number of data point in a subdomain,
14%            nb_coord the space dimension,
15%            nb_subdomain the nbre of subdomains used for tps
16% NbCentre: nbre of tps centres for each subdomain, of dimension nb_subdomain
17% SubRange: coordinate range for each subdomain, of dimensions [nb_coord,2,nb_subdomain]
18% FieldVar: array representing the input fields as tps weights with dimension (nbvec_sub+3,NbSubDomain,nb_dim)
19%              nbvec_sub= max nbre of vectors in a subdomain 
20%             NbSubDomain =nbre of subdomains
21%             nb_dim: nbre of dimensions for vector components (x-> 1, y->2)
22% FieldName: cell array representing the list of operations (eg div(U,V), rot(U,V))
23% Coord_interp: coordinates of sites on which the fields need to be calculated of dimensions
24%            [nb_site,nb_coord] for an array of interpolation sites
25%            [nb_site_y,nb_site_x,nb_coord] for interpolation on a plane grid of size [nb_site_y,nb_site_x]
26
27%=======================================================================
28% Copyright 2008-2017, LEGI UMR 5519 / CNRS UGA G-INP, Grenoble, France
29%   http://www.legi.grenoble-inp.fr
30%   Joel.Sommeria - Joel.Sommeria (A) legi.cnrs.fr
31%
32%     This file is part of the toolbox UVMAT.
33%
34%     UVMAT is free software; you can redistribute it and/or modify
35%     it under the terms of the GNU General Public License as published
36%     by the Free Software Foundation; either version 2 of the license,
37%     or (at your option) any later version.
38%
39%     UVMAT is distributed in the hope that it will be useful,
40%     but WITHOUT ANY WARRANTY; without even the implied warranty of
41%     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
42%     GNU General Public License (see LICENSE.txt) for more details.
43%=======================================================================
44
45function [DataOut,VarAttribute,errormsg]=calc_field_tps(Coord_tps,NbCentre,SubRange,FieldVar,FieldName,Coord_interp)
46
47%list of defined scalars to display in menus (in addition to 'ima_cor').
48% a type is associated to each scalar:
49%              'discrete': related to the individual velocity vectors, not interpolated by patch
50%              'vel': calculated from velocity components, continuous field (interpolated with velocity)
51%              'der': needs spatial derivatives
52%              'var': the scalar name corresponds to a field name in the netcdf files
53% a specific variable name for civ1 and civ2 fields are also associated, if
54% the scalar is calculated from other fields, as explicited below
55errormsg='';
56   
57%% nbre of subdomains
58if ndims(Coord_interp)==3
59    nb_coord=size(Coord_interp,3);
60    npx=size(Coord_interp,2);
61    npy=size(Coord_interp,1);
62    nb_sites=npx*npy;
63    Coord_interp=reshape(Coord_interp,nb_sites,nb_coord);
64else
65    nb_coord=size(Coord_interp,2);
66    nb_sites=size(Coord_interp,1);
67end
68NbSubDomain=size(Coord_tps,3);
69nbval=zeros(nb_sites,1);
70
71%% list of operations
72check_grid=0;
73check_der=0;
74check_vec=0;
75check_remove=false(size(FieldName));
76VarAttribute={};
77for ilist=1:length(FieldName)
78    FieldNameType=regexprep(FieldName{ilist},'(.+','');% detect the char string before the parenthesis
79    VarAttributeNew={};
80    switch FieldNameType
81        case 'vec'
82            check_grid=1;
83            DataOut.U=zeros(nb_sites,1);
84            DataOut.V=zeros(nb_sites,1);
85            VarAttributeNew{1}.Role='vector_x';
86            VarAttributeNew{2}.Role='vector_y';
87            check_vec=1;
88        case {'U','V'}
89            if check_vec% no new data needed
90                check_remove(ilist)=1;
91            else
92            check_grid=1;
93            DataOut.(FieldNameType)=zeros(nb_sites,1);
94            VarAttributeNew{1}.Role='scalar';
95            end
96        case 'norm'
97            check_grid=1;
98            DataOut.(FieldNameType)=zeros(nb_sites,1);
99            VarAttributeNew{1}.Role='scalar';
100        case {'curl','div','strain'}
101            check_der=1;
102            DataOut.(FieldNameType)=zeros(nb_sites,1);
103            VarAttributeNew{1}.Role='scalar';
104    end
105    VarAttribute=[VarAttribute VarAttributeNew];
106end
107%Attr_FF.Role='errorflag';
108%VarAttribute=[VarAttribute {Attr_FF}];
109FieldName(check_remove)=[];
110
111%% loop on subdomains
112for isub=1:NbSubDomain
113    nbvec_sub=NbCentre(isub);
114    check_range=(Coord_interp >=ones(nb_sites,1)*SubRange(:,1,isub)' & Coord_interp<=ones(nb_sites,1)*SubRange(:,2,isub)');
115    ind_sel=find(sum(check_range,2)==nb_coord);% select points whose all coordinates are in the prescribed range
116    nbval(ind_sel)=nbval(ind_sel)+1;% records the number of values for eacn interpolation point (in case of subdomain overlap)
117    if check_grid
118        EM = tps_eval(Coord_interp(ind_sel,:),Coord_tps(1:nbvec_sub,:,isub));%kernels for calculating the velocity from tps 'sources'
119    end
120    if check_der
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'
122    end
123    for ilist=1:length(FieldName)
124        switch FieldName{ilist}
125            case 'vec(U,V)'
126                DataOut.U(ind_sel)=DataOut.U(ind_sel)+EM *FieldVar(1:nbvec_sub+3,isub,1);
127                DataOut.V(ind_sel)=DataOut.V(ind_sel)+EM *FieldVar(1:nbvec_sub+3,isub,2);
128            case 'U'
129                DataOut.U(ind_sel)=DataOut.U(ind_sel)+EM *FieldVar(1:nbvec_sub+3,isub,1);
130            case 'V'
131                DataOut.V(ind_sel)=DataOut.V(ind_sel)+EM *FieldVar(1:nbvec_sub+3,isub,2);
132            case 'norm(U,V)'
133                U=DataOut.U(ind_sel)+EM *FieldVar(1:nbvec_sub+3,isub,1);
134                V=DataOut.V(ind_sel)+EM *FieldVar(1:nbvec_sub+3,isub,2);
135                DataOut.norm(ind_sel)=sqrt(U.*U+V.*V);
136            case 'curl(U,V)'
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);
138            case 'div(U,V)'
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);
140%             case 'curl_polar(U,V)'
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);
142            case 'strain(U,V)'
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);
144        end
145    end
146end
147nbval(nbval==0)=NaN;% to avoid division by zero for averaging
148ListFieldOut=fieldnames(DataOut);
149for ifield=1:numel(ListFieldOut)
150    DataOut.(ListFieldOut{ifield})=DataOut.(ListFieldOut{ifield})./nbval;
151    DataOut.(ListFieldOut{ifield})=reshape(DataOut.(ListFieldOut{ifield}),npy,npx);
152end
153
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