MITgcm_contrib/osse/cyl2cartuv.m

function [u,v] = cyl2cartuv(thetav,rhov,xi,yi,varargin)
% [u,v]=cyl2cartuv(thetav,rhov,xi,yi);
%
% Re-grids model output in cylindrical coords to cartesian.
%  c     is a 2-D or 3-D scalar or z-vector field
%  xi,yi are vectors of the new regular lat-lon grid to interpolate to.
%  z     is the interpolated data with dimensions of size(xi) by size(yi).
%
% e.g.
% >> t=rdmds('Ttave.0000513360');
% >> xi=-179:2:180;yi=-89:2:90;
% >> ti=cyl2cart(x,y,t,xi,yi);
%
% $Header: /u/gcmpack/MITgcm_contrib/osse/cyl2cartuv.m,v 1.1 2004/05/24 21:45:14 afe Exp $

if ~isequal(size(thetav),size(rhov))
  error('Theta and rho vector arrays must be same size');
end

%work out mappings of polar to cartesian
NN=size(thetav);
[ntheta nrho nz]=size(thetav);
[RHO,THETA,NZ] = meshgrid(1:nrho,-pi+2*pi/ntheta:2*pi/ntheta:pi,1:nz);
[x,y] = pol2cart(THETA(:,:,1),RHO(:,:,1));
%[nx ny nz]=size(c);
nx=ntheta;ny=nrho;

% break out components
%vv=-(thetav.*-cos(THETA)+rhov.*sin(THETA));
%uv=-(thetav.*-sin(THETA)+rhov.*cos(THETA));
uv=thetav.*cos(THETA)+rhov.*sin(THETA);
vv=thetav.*-sin(THETA)+rhov.*cos(THETA);
%uv=thetav.*cos(THETA); %+rhov.*sin(THETA);
%vv=thetav.*-sin(THETA); %+rhov.*cos(THETA);
%uv=rhov.*sin(THETA);
%vv=rhov.*cos(THETA);


X=reshape(x,[1 nx*ny]);
Y=reshape(y,[1 nx*ny]);
del=griddata_preprocess(Y,X,yi,xi',varargin{:});

for k=1:nz;
 UV=reshape(uv(:,:,k),[1 nx*ny]);
 VV=reshape(vv(:,:,k),[1 nx*ny]);
u(:,:,k)=griddata(Y,X,UV,yi,xi',varargin{:});
v(:,:,k)=griddata(Y,X,VV,yi,xi',varargin{:});
% z(:,:,k)=griddata_fast(del,[C C(il) C(ig)],varargin{:});
end % k

% Split vertical and time dimensions
if size(NN,2)>2
u=reshape(u,[size(u,1) size(u,2) NN(3:end)]);
v=reshape(v,[size(v,1) size(v,2) NN(3:end)]);
end
1	function [u,v] = cyl2cartuv(thetav,rhov,xi,yi,varargin)
2	% [u,v]=cyl2cartuv(thetav,rhov,xi,yi);
3	%
4	% Re-grids model output in cylindrical coords to cartesian.
5	% c is a 2-D or 3-D scalar or z-vector field
6	% xi,yi are vectors of the new regular lat-lon grid to interpolate to.
7	% z is the interpolated data with dimensions of size(xi) by size(yi).
8	%
9	% e.g.
10	% >> t=rdmds('Ttave.0000513360');
11	% >> xi=-179:2:180;yi=-89:2:90;
12	% >> ti=cyl2cart(x,y,t,xi,yi);
13	%
14	% $Header: /u/gcmpack/MITgcm_contrib/osse/cyl2cartuv.m,v 1.1 2004/05/24 21:45:14 afe Exp $
15
16	if ~isequal(size(thetav),size(rhov))
17	error('Theta and rho vector arrays must be same size');
18	end
19
20	%work out mappings of polar to cartesian
21	NN=size(thetav);
22	[ntheta nrho nz]=size(thetav);
23	[RHO,THETA,NZ] = meshgrid(1:nrho,-pi+2pi/ntheta:2pi/ntheta:pi,1:nz);
24	[x,y] = pol2cart(THETA(:,:,1),RHO(:,:,1));
25	%[nx ny nz]=size(c);
26	nx=ntheta;ny=nrho;
27
28	% break out components
29	%vv=-(thetav.-cos(THETA)+rhov.sin(THETA));
30	%uv=-(thetav.-sin(THETA)+rhov.cos(THETA));
31	uv=thetav.cos(THETA)+rhov.sin(THETA);
32	vv=thetav.-sin(THETA)+rhov.cos(THETA);
33	%uv=thetav.cos(THETA); %+rhov.sin(THETA);
34	%vv=thetav.-sin(THETA); %+rhov.cos(THETA);
35	%uv=rhov.*sin(THETA);
36	%vv=rhov.*cos(THETA);
37
38
39	X=reshape(x,[1 nx*ny]);
40	Y=reshape(y,[1 nx*ny]);
41	del=griddata_preprocess(Y,X,yi,xi',varargin{:});
42
43	for k=1:nz;
44	UV=reshape(uv(:,:,k),[1 nx*ny]);
45	VV=reshape(vv(:,:,k),[1 nx*ny]);
46	u(:,:,k)=griddata(Y,X,UV,yi,xi',varargin{:});
47	v(:,:,k)=griddata(Y,X,VV,yi,xi',varargin{:});
48	% z(:,:,k)=griddata_fast(del,[C C(il) C(ig)],varargin{:});
49	end % k
50
51	% Split vertical and time dimensions
52	if size(NN,2)>2
53	u=reshape(u,[size(u,1) size(u,2) NN(3:end)]);
54	v=reshape(v,[size(v,1) size(v,2) NN(3:end)]);
55	end