osse/utils/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).
%  theta=0 is at 12 o'clock.
%
% 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/utils/cyl2cartuv.m,v 1.2 2004/07/12 21:43:16 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=ntheta;ny=nrho;

% break out components
uv=thetav.*cos(THETA)+rhov.*sin(THETA);
vv=thetav.*-sin(THETA)+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{:});
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	afe	1.1	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	afe	1.2	% theta=0 is at 12 o'clock.
9	afe	1.1	%
10			% e.g.
11			% >> t=rdmds('Ttave.0000513360');
12			% >> xi=-179:2:180;yi=-89:2:90;
13			% >> ti=cyl2cart(x,y,t,xi,yi);
14			%
15	afe	1.3	% $Header: /u/gcmpack/MITgcm_contrib/osse/utils/cyl2cartuv.m,v 1.2 2004/07/12 21:43:16 afe Exp $
16	afe	1.1
17			if ~isequal(size(thetav),size(rhov))
18			error('Theta and rho vector arrays must be same size');
19			end
20
21			%work out mappings of polar to cartesian
22			NN=size(thetav);
23			[ntheta nrho nz]=size(thetav);
24			[RHO,THETA,NZ] = meshgrid(1:nrho,-pi+2pi/ntheta:2pi/ntheta:pi,1:nz);
25			[x,y] = pol2cart(THETA(:,:,1),RHO(:,:,1));
26			nx=ntheta;ny=nrho;
27
28			% break out components
29			uv=thetav.cos(THETA)+rhov.sin(THETA);
30			vv=thetav.-sin(THETA)+rhov.cos(THETA);
31
32			X=reshape(x,[1 nx*ny]);
33			Y=reshape(y,[1 nx*ny]);
34			del=griddata_preprocess(Y,X,yi,xi',varargin{:});
35
36			for k=1:nz;
37			UV=reshape(uv(:,:,k),[1 nx*ny]);
38			VV=reshape(vv(:,:,k),[1 nx*ny]);
39			u(:,:,k)=griddata(Y,X,UV,yi,xi',varargin{:});
40			v(:,:,k)=griddata(Y,X,VV,yi,xi',varargin{:});
41			end % k
42
43			% Split vertical and time dimensions
44			if size(NN,2)>2
45			u=reshape(u,[size(u,1) size(u,2) NN(3:end)]);
46			v=reshape(v,[size(v,1) size(v,2) NN(3:end)]);
47			end