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edhill |
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% |
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% $Id: $ |
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% |
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% Ed Hill |
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% |
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% The following are the MatLAB commands used to create the various |
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% plots related to eddy fluxes using average velocities and densities |
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% (called bouyancy or "b" in many of the variables) from Dimitris' |
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% "cube_5" integration. |
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% Groups of commands contained within the following "UNUSED" comments |
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% we not used in this analyssis. They are "left over" from the |
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% previous temperature-based calculations and have been kept for |
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% reference purposes only. |
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%------- UNUSED ----------------------- |
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% ...Commands... |
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%------- UNUSED ----------------------- |
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matlab -nojvm |
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matlab -nojvm -nodisplay |
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%======================================================= |
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% Compute 10-yr averages from the ten 1-yr averages |
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clear all ; close all |
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ne = 510; |
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ntot = ne*ne*6 * 50; |
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by = 1994; |
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ey = 2003; |
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vnam = [ 'U_'; 'V_'; 'T_'; 'S_'; 'B_'; 'B1'; ... |
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'UT'; 'VT'; 'US'; 'VS'; 'UB'; 'VB' ]; |
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nm = 1; |
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for nm = 1:size(vnam,1) |
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sum = zeros(ntot,1); |
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eval(['pat = ''' sprintf('%s',vnam(nm,:)) '_tave_%4.4d'';']); |
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disp(sprintf('pat = "%s"',pat)); |
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iy = by; |
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for iy = by:ey |
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disp([' opening: ' sprintf(pat,iy)]); |
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fid = fopen(sprintf(pat,iy), 'r', 'ieee-be'); |
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a = fread(fid, ntot, 'real*4'); |
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fclose(fid); |
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sum = sum + a; |
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end |
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a = sum ./ (ey-by+1); |
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ido = fopen(sprintf([pat '-%4.4d'],by,ey), 'w', 'ieee-be'); |
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fwrite(ido, a, 'real*4'); |
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fclose(ido); |
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end |
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%======================================================= |
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% Compute the "primes" |
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clear all; close all |
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vnam = [ 'U_'; 'V_'; 'T_'; 'S_'; 'B_'; 'B1'; ... |
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'UT'; 'VT'; 'US'; 'VS'; 'UB'; 'VB' ]; |
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nztot = 50; |
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ne = 510; |
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nps = 6 * ne * ne; |
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iz = 2; |
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iz = 1; |
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for iz = 1:nztot |
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disp(sprintf('iz = %d', iz)); |
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offset = (iz - 1)*nps*4; |
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nm = 1; |
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for nm = 1:size(vnam,1) |
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eval(['pat = ''' sprintf('%s',vnam(nm,:)) ... |
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'_tave_1994-2003'';']); |
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fid = fopen(pat, 'r', 'ieee-be'); |
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fseek(fid, offset, 'bof'); |
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a = reshape(fread(fid, nps, 'real*4'),ne,ne,6); |
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eval([lower(vnam(nm,:)) ' = a;' ]); |
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fclose(fid); |
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end |
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clear a |
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% surf(u_(:,:,1)), view(2), shading interp, axis equal |
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% surf(v_(:,:,1)), view(2), shading interp, axis equal |
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% surf(t_(:,:,1)), view(2), shading interp, axis equal |
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% s_(find(s_==0.0)) = NaN; |
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% surf(s_(:,:,1)), view(2), shading interp, axis equal |
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% b_(find(b_==0.0)) = NaN; |
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% surf(b_(:,:,1)), view(2), shading interp, axis equal |
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% b1(find(b1==0.0)) = NaN; |
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% surf(b1(:,:,1)), view(2), shading interp, axis equal |
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% surf(ut(:,:,1)), view(2), shading interp, axis equal |
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% surf(vt(:,:,1)), view(2), shading interp, axis equal |
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% surf(us(:,:,1)), view(2), shading interp, axis equal |
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% surf(vs(:,:,1)), view(2), shading interp, axis equal |
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% surf(ub(:,:,1)), view(2), shading interp, axis equal |
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% surf(vb(:,:,1)), view(2), shading interp, axis equal |
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% tmask = double(t_ ~= 0.0); |
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% Fill the (ne+1)*(ne+1) grid with T,S,B values |
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ni = ne; nip1 = ni + 1; |
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nj = ne; njp1 = nj + 1; |
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tcubep1 = zeros( [ nip1 njp1 6 ] ); |
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scubep1 = zeros( [ nip1 njp1 6 ] ); |
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bcubep1 = zeros( [ nip1 njp1 6 ] ); |
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for icf = 1:6 |
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tcubep1(2:nip1,2:njp1,icf) = t_(:,:,icf); |
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scubep1(2:nip1,2:njp1,icf) = s_(:,:,icf); |
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bcubep1(2:nip1,2:njp1,icf) = b_(:,:,icf); |
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end |
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% Do the upwind-edge T exchanges |
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tcubep1(1,2:njp1,1) = t_(ni:-1:1,nj,5); % - |
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tcubep1(2:nip1,1,1) = t_(1:ni,nj,6); % - |
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tcubep1(1,2:njp1,2) = t_(ni,1:nj,1); % - |
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tcubep1(2:nip1,1,2) = t_(ni,nj:-1:1,6); % - |
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tcubep1(1,2:njp1,3) = t_(ni:-1:1,nj,1); % - |
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tcubep1(2:nip1,1,3) = t_(1:ni,nj,2); % - |
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tcubep1(1,2:njp1,4) = t_(ni,1:nj,3); % - |
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tcubep1(2:nip1,1,4) = t_(ni,nj:-1:1,2); % - |
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tcubep1(1,2:njp1,5) = t_(ni:-1:1,nj,3); % - |
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tcubep1(2:nip1,1,5) = t_(1:ni,nj,4); % - |
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tcubep1(1,2:njp1,6) = t_(ni,1:nj,5); % - |
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tcubep1(2:nip1,1,6) = t_(ni,nj:-1:1,4); % - |
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% Do the upwind-edge S exchanges |
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scubep1(1,2:njp1,1) = s_(ni:-1:1,nj,5); % - |
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scubep1(2:nip1,1,1) = s_(1:ni,nj,6); % - |
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scubep1(1,2:njp1,2) = s_(ni,1:nj,1); % - |
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scubep1(2:nip1,1,2) = s_(ni,nj:-1:1,6); % - |
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scubep1(1,2:njp1,3) = s_(ni:-1:1,nj,1); % - |
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scubep1(2:nip1,1,3) = s_(1:ni,nj,2); % - |
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scubep1(1,2:njp1,4) = s_(ni,1:nj,3); % - |
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scubep1(2:nip1,1,4) = s_(ni,nj:-1:1,2); % - |
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scubep1(1,2:njp1,5) = s_(ni:-1:1,nj,3); % - |
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scubep1(2:nip1,1,5) = s_(1:ni,nj,4); % - |
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scubep1(1,2:njp1,6) = s_(ni,1:nj,5); % - |
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scubep1(2:nip1,1,6) = s_(ni,nj:-1:1,4); % - |
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% Do the upwind-edge B exchanges |
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bcubep1(1,2:njp1,1) = b_(ni:-1:1,nj,5); % - |
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bcubep1(2:nip1,1,1) = b_(1:ni,nj,6); % - |
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bcubep1(1,2:njp1,2) = b_(ni,1:nj,1); % - |
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bcubep1(2:nip1,1,2) = b_(ni,nj:-1:1,6); % - |
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bcubep1(1,2:njp1,3) = b_(ni:-1:1,nj,1); % - |
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bcubep1(2:nip1,1,3) = b_(1:ni,nj,2); % - |
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bcubep1(1,2:njp1,4) = b_(ni,1:nj,3); % - |
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bcubep1(2:nip1,1,4) = b_(ni,nj:-1:1,2); % - |
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bcubep1(1,2:njp1,5) = b_(ni:-1:1,nj,3); % - |
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bcubep1(2:nip1,1,5) = b_(1:ni,nj,4); % - |
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bcubep1(1,2:njp1,6) = b_(ni,1:nj,5); % - |
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bcubep1(2:nip1,1,6) = b_(ni,nj:-1:1,4); % - |
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% Get T values on the U,V grid points |
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masku = 1.0 - abs(diff(double(tcubep1(2:nip1,:,:) == 0.0),1,2)); |
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maskv = 1.0 - abs(diff(double(tcubep1(:,2:nip1,:) == 0.0),1,1)); |
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diffu = 0.5*diff(tcubep1(2:nip1,:,:),1,2); |
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diffv = 0.5*diff(tcubep1(:,2:nip1,:),1,1); |
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tonu = t_(:,:,:) + masku.*diffu; |
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tonv = t_(:,:,:) + maskv.*diffv; |
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% Get S values on the U,V grid points |
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diffu = 0.5*diff(scubep1(2:nip1,:,:),1,2); |
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diffv = 0.5*diff(scubep1(:,2:nip1,:),1,1); |
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sonu = s_(:,:,:) + masku.*diffu; |
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sonv = s_(:,:,:) + maskv.*diffv; |
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% Get B values on the U grid points |
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diffu = 0.5*diff(bcubep1(2:nip1,:,:),1,2); |
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diffv = 0.5*diff(bcubep1(:,2:nip1,:),1,1); |
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bonu = b_(:,:,:) + masku.*diffu; |
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bonv = b_(:,:,:) + maskv.*diffv; |
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% Compute the primes |
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uptp = ut - u_ .* tonu; |
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vptp = vt - v_ .* tonv; |
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upsp = us - u_ .* sonu; |
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vpsp = vs - v_ .* sonv; |
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upbp = ub - u_ .* bonu; |
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vpbp = vb - v_ .* bonv; |
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% Write the results |
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for f = [ 't' 's' 'b' ] |
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for uv = [ 'u' 'v' ] |
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% disp([' writing: ' uv f]); |
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ido = fopen(['out/' uv 'p' f 'p_1994-2003'], 'a', 'ieee-be'); |
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eval(['fwrite(ido, ' uv 'p' f 'p, ''real*4'');']); |
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fclose(ido); |
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end |
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end |
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% f = [ 't_'; 's_'; 'b_'; 'b1'; 'u_'; 'v_'; ]; |
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% for fi = 1:size(f,1) |
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% disp([' writing: ' f(fi,:) ]); |
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% ido = fopen(['out/' f(fi,:) '_1994-2003'], 'a', 'ieee-be'); |
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% eval(['fwrite(ido, ' f(fi,:) ', ''real*4'');']); |
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% fclose(ido); |
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% end |
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end |
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%======================================================= |
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% Plot u'B' and v'B' on a Lat-Lon grid |
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clear all, close all |
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tx = 85; |
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ty = 85; |
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nt = 216; |
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cx = 510; |
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cy = 510; |
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nz = 1; |
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ne = 510; |
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nps = ne * ne * 6; |
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% XCS YCS XGS YGS |
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fnam = [ 'XC' ; 'YC'; 'XG'; 'YG' ]; |
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for in = 1:4 |
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uid = fopen([fnam(in,:) '.data'], 'r', 'ieee-be'); |
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phi = unmangleJPL1( reshape(fread(uid, nps, 'real*4'), ... |
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tx*nt,ty), ne, tx ); |
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fclose(uid); |
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eval([lower(fnam(in,:)) ' = phi;']); |
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a = zeros(6*510,510); |
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for i = 1:6 |
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xb = (i-1)*510 + 1; xe = xb + 510 - 1; |
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yb = 1; ye = 510; |
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a(xb:xe,yb:ye) = phi(:,:,i); |
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end |
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eval([lower(fnam(in,:)) 's = a;']) |
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end |
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xcs = xcs + -360.0*(xcs > 180.0); |
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xgs = xgs + -360.0*(xgs > 180.0); |
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clear phi a |
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%======================================================= |
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% Calculation rotations for Lat-Lon vector alignment |
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ne = 510; |
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n1 = ne - 1; |
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dux = zeros(size(xg)); |
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duy = zeros(size(xg)); |
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dvx = zeros(size(xg)); |
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dvy = zeros(size(xg)); |
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dux(1:n1,:,:) = diff(xg,1,1); dux(ne,:,:) = dux(n1,:,:); |
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dvx(:,1:n1,:) = diff(xg,1,2); dvx(:,ne,:) = dvx(:,n1,:); |
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duy(1:n1,:,:) = diff(yg,1,1); duy(ne,:,:) = duy(n1,:,:); |
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dvy(:,1:n1,:) = diff(yg,1,2); dvy(:,ne,:) = dvy(:,n1,:); |
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dux = dux + 360*double(dux < 180); |
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dux = dux - 360*double(dux > 180); % [ min(min(dux)) max(max(dux)) ] |
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duy = duy + 360*double(duy < 180); |
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duy = duy - 360*double(duy > 180); % [ min(min(duy)) max(max(duy)) ] |
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dvx = dvx + 360*double(dvx < 180); |
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dvx = dvx - 360*double(dvx > 180); % [ min(min(dvx)) max(max(dvx)) ] |
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dvy = dvy + 360*double(dvy < 180); |
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dvy = dvy - 360*double(dvy > 180); % [ min(min(dvy)) max(max(dvy)) ] |
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llux = dux ./ sqrt(dux.^2 + duy.^2); |
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lluy = duy ./ sqrt(dux.^2 + duy.^2); |
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llvx = dvx ./ sqrt(dvx.^2 + dvy.^2); |
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llvy = dvy ./ sqrt(dvx.^2 + dvy.^2); |
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% surf(xg(:,:,2)), view(2), axis equal, shading interp, colorbar |
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% surf(dux(:,:,2)), view(2), axis equal, shading interp, colorbar |
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% surf(duy(:,:,2)), view(2), axis equal, shading interp, colorbar |
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delR = [ |
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10.00, 10.00, 10.00, 10.00, 10.00, 10.00, 10.00, 10.01, ... |
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10.03, 10.11, 10.32, 10.80, 11.76, 13.42, 16.04 , 19.82, 24.85, ... |
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31.10, 38.42, 46.50, 55.00, 63.50, 71.58, 78.90, 85.15, 90.18, ... |
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93.96, 96.58, 98.25, 99.25,100.01,101.33,104.56,111.33,122.83, ... |
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139.09,158.94,180.83,203.55,226.50,249.50,272.50,295.50,318.50, ... |
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341.50,364.50,387.50,410.50,433.50,456.50 ]; |
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R = cumsum(delR) - 0.5*delR; |
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Rmid = R(1:(length(R)-1)) + 0.5*diff(R); |
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ne = 510; |
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nps = ne * ne * 6; |
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clow = [ -1.0 ]; % -0.2; |
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chigh = [ 1.0 ]; % 0.2; |
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iz = 1; |
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iz = 15; |
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iz = 25; |
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for iz = [ 1:50 ] |
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disp(sprintf('iz = %d',iz)); |
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offset = (iz - 1)*nps*4; |
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% Load the "primes" |
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for f = [ 't' 's' 'b' ] |
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for uv = [ 'u' 'v' ] |
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% disp([' reading: ' uv f]); |
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fid = fopen(['out/' uv 'p' f 'p_1994-2003'],'r','ieee-be'); |
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fseek(fid, offset, 'bof'); |
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a = reshape(fread(fid, nps, 'real*4'),ne,ne,6); |
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fclose(fid); |
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eval([uv 'p' f 'p = a;']); |
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end |
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end |
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% Get LatLon-oriented vectors at the CubeSphere points |
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lluptp = uptp .* llux + vptp .* llvx; |
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|
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llvptp = uptp .* lluy + vptp .* llvy; |
303 |
|
|
llupsp = upsp .* llux + vpsp .* llvx; |
304 |
|
|
llvpsp = upsp .* lluy + vpsp .* llvy; |
305 |
|
|
llupbp = upbp .* llux + vpbp .* llvx; |
306 |
|
|
llvpbp = upbp .* lluy + vpbp .* llvy; |
307 |
|
|
% surf(xg(:,:,2),yg(:,:,2),lluptp(:,:,2)), view(2),shading interp,colorbar |
308 |
|
|
% surf(xg(:,:,2),yg(:,:,2),llupbp(:,:,2)), view(2),shading interp,colorbar |
309 |
|
|
|
310 |
|
|
% save the LatLon-rotated "primes" |
311 |
|
|
for f = [ 't' 's' 'b' ] |
312 |
|
|
for uv = [ 'u' 'v' ] |
313 |
|
|
% disp([' writing: ' uv f]); |
314 |
|
|
fid = fopen(['out/ll' uv 'p' f 'p_1994-2003'], ... |
315 |
|
|
'a','ieee-be'); |
316 |
|
|
eval(['fwrite(fid,ll' uv 'p' f 'p,''real*4'');']); |
317 |
|
|
fclose(fid); |
318 |
|
|
end |
319 |
|
|
end |
320 |
|
|
|
321 |
|
|
% Look at Lat-Lon projections of the "primes" |
322 |
|
|
clim = [ 0.6 0.15 0.0015 ]; |
323 |
|
|
fi = 0; |
324 |
|
|
for f = [ 't' 's' 'b' ] |
325 |
|
|
|
326 |
|
|
fi = fi + 1; |
327 |
|
|
eval(['llu = up' f 'p;']); |
328 |
|
|
eval(['llv = vp' f 'p;']); |
329 |
|
|
|
330 |
|
|
pllu = zeros(6*510,510); |
331 |
|
|
pllv = zeros(6*510,510); |
332 |
|
|
for i = 1:6 |
333 |
|
|
xb = (i-1)*510 + 1; xe = xb + 510 - 1; |
334 |
|
|
yb = 1; ye = 510; |
335 |
|
|
pllu(xb:xe,yb:ye) = llu(:,:,i); |
336 |
|
|
pllv(xb:xe,yb:ye) = llv(:,:,i); |
337 |
|
|
end |
338 |
|
|
pllu(find(pllu == 0.0)) = NaN; |
339 |
|
|
pllv(find(pllv == 0.0)) = NaN; |
340 |
|
|
shift=-1; |
341 |
|
|
for uv = [ 'u' 'v' ] |
342 |
|
|
eval(['a = pll' uv ';']); |
343 |
|
|
clo = -clim(fi); |
344 |
|
|
chi = clim(fi); |
345 |
|
|
grph_CS(a,xcs,ycs,xgs,ygs,[clo],[chi],shift); |
346 |
|
|
title([ uv '''' upper(f) ''' at ' ... |
347 |
|
|
sprintf('%g',R(iz)) ... |
348 |
|
|
'm depth on the 510x510x6 cubesphere ' ... |
349 |
|
|
'for 1994--2003 ["cube5"]']); |
350 |
|
|
print('-painters', '-dpng', '-r150', ... |
351 |
|
|
[ uv 'p' upper(f) 'p_' ... |
352 |
|
|
sprintf('%02d_%07.1f',iz,R(iz)) 'm_150.png']) |
353 |
|
|
end |
354 |
|
|
|
355 |
|
|
end |
356 |
|
|
end |
357 |
|
|
|
358 |
|
|
|
359 |
|
|
%======================================================= |
360 |
|
|
% Calculate : (v'B')/(dB/dz) |
361 |
|
|
|
362 |
|
|
bid = fopen('B__tave_1994-2003', 'r', 'ieee-be'); |
363 |
|
|
bm1id = fopen('B1_tave_1994-2003', 'r', 'ieee-be'); |
364 |
|
|
upbpid = fopen('out/upbp_1994-2003', 'r', 'ieee-be'); |
365 |
|
|
vpbpid = fopen('out/vpbp_1994-2003', 'r', 'ieee-be'); |
366 |
|
|
|
367 |
|
|
iz = 1; |
368 |
|
|
offset = (iz - 1)*nps*4; |
369 |
|
|
fseek(upbpid, offset, 'bof'); |
370 |
|
|
fseek(vpbpid, offset, 'bof'); |
371 |
|
|
upbp = reshape(fread(upbpid, nps, 'real*4'),ne,ne,6); |
372 |
|
|
vpbp = reshape(fread(vpbpid, nps, 'real*4'),ne,ne,6); |
373 |
|
|
llvpbp = upbp .* lluy + vpbp .* llvy; |
374 |
|
|
llvpbpm1 = llvpbp; |
375 |
|
|
ne = 510; tx = 85; ty = 85; nt = 216; |
376 |
|
|
|
377 |
|
|
iz = 2; |
378 |
|
|
iz = 15; |
379 |
|
|
iz = 16; |
380 |
|
|
for iz = 2:50, |
381 |
|
|
izm1 = iz - 1; |
382 |
|
|
disp(sprintf('iz = %d',iz)); |
383 |
|
|
|
384 |
|
|
offset = (iz - 1)*nps*4; |
385 |
|
|
fseek(upbpid, offset, 'bof'); |
386 |
|
|
fseek(vpbpid, offset, 'bof'); |
387 |
|
|
upbp = reshape(fread(upbpid, nps, 'real*4'),ne,ne,6); |
388 |
|
|
vpbp = reshape(fread(vpbpid, nps, 'real*4'),ne,ne,6); |
389 |
|
|
|
390 |
|
|
% v'B' on ll coords |
391 |
|
|
llvpbp = upbp .* lluy + vpbp .* llvy; |
392 |
|
|
|
393 |
|
|
% B and Bm1 |
394 |
|
|
fseek(bid, offset, 'bof'); |
395 |
|
|
b = reshape(fread(bid, nps, 'real*4'),ne,ne,6); |
396 |
|
|
offm1 = (iz - 2)*nps*4; |
397 |
|
|
fseek(bm1id, offm1, 'bof'); |
398 |
|
|
bm1 =reshape(fread(bm1id, nps, 'real*4'),ne,ne,6); |
399 |
|
|
|
400 |
|
|
% ( v'B' )/( dB/dz ) |
401 |
|
|
dbdz = (b - bm1)/(R(iz) - R(izm1)); |
402 |
|
|
ind0 = find(dbdz==0.0); |
403 |
|
|
dbdz(ind0) = 1.0; |
404 |
|
|
rdbdz = 1.0 / (dbdz); |
405 |
|
|
rdbdz(ind0) = 0.0; |
406 |
|
|
vpbpdbdz = 0.5*(llvpbp + llvpbpm1) .* rdbdz; |
407 |
|
|
|
408 |
|
|
% Write the results |
409 |
|
|
mid = fopen('out/vpbpdbdz_1994-2003', 'a', 'ieee-be'); |
410 |
|
|
fwrite(mid, vpbpdbdz, 'real*4'); |
411 |
|
|
fclose(mid); |
412 |
|
|
|
413 |
|
|
% Plot results |
414 |
|
|
clo = [ -0.0015 ]; % -20; |
415 |
|
|
chi = [ 0.0015 ]; % 20; |
416 |
|
|
ll = zeros(6*510,510); |
417 |
|
|
for i = 1:6 |
418 |
|
|
xb = (i-1)*510 + 1; xe = xb + 510 - 1; |
419 |
|
|
yb = 1; ye = 510; |
420 |
|
|
ll(xb:xe,yb:ye) = vpbpdbdz(:,:,i); |
421 |
|
|
end |
422 |
|
|
shift=-1; |
423 |
|
|
grph_CS(sq(ll),xcs,ycs,xgs,ygs,[clo],[chi],shift); |
424 |
|
|
title([ '(v''B'')/(dB/dz) at ' ... |
425 |
|
|
sprintf('%g',Rmid(iz)) ... |
426 |
|
|
'm depth on the 510x510x6 cubesphere for 1994--2003 ["cube5"]']); |
427 |
|
|
% print('-painters', '-dpng', '-r650', ... |
428 |
|
|
% ['vpTpdTdz_' sprintf('%02d_%07.1f',iz,Rmid(iz)) 'm_650.png']) |
429 |
|
|
print('-painters', '-dpng', '-r150', ... |
430 |
|
|
['vpBpdBdz_' sprintf('%02d_%07.1f',iz,Rmid(iz)) 'm_150.png']) |
431 |
|
|
|
432 |
|
|
|
433 |
|
|
% Stress: calc, write, and plot |
434 |
|
|
stress = 1000 * (2*pi/(24*3600)*sin(pi*yc/180)); |
435 |
|
|
stress = stress .* vpbpdbdz; |
436 |
|
|
sid = fopen('out/stress_1994-2003', 'a', 'ieee-be'); |
437 |
|
|
fwrite(sid, stress, 'real*4'); |
438 |
|
|
fclose(sid); |
439 |
|
|
clim = 0.15; |
440 |
|
|
clo = [ -clim ]; % [ -1 ]; |
441 |
|
|
chi = [ clim ]; % [ 1 ]; |
442 |
|
|
ll = zeros(6*510,510); |
443 |
|
|
for i = 1:6 |
444 |
|
|
xb = (i-1)*510 + 1; xe = xb + 510 - 1; |
445 |
|
|
yb = 1; ye = 510; |
446 |
|
|
ll(xb:xe,yb:ye) = stress(:,:,i); |
447 |
|
|
end |
448 |
|
|
shift=-1; |
449 |
|
|
grph_CS(sq(ll),xcs,ycs,xgs,ygs,[clo],[chi],shift); |
450 |
|
|
title([ 'Stress at ' ... |
451 |
|
|
sprintf('%g',Rmid(iz)) ... |
452 |
|
|
'm depth on the 510x510x6 cubesphere for 1994--2003 ["cube5"]']); |
453 |
|
|
% print('-painters', '-dpng', '-r650', ... |
454 |
|
|
% ['stress_' sprintf('%02d_%07.1f',iz,Rmid(iz)) 'm_650.png']) |
455 |
|
|
print('-painters', '-dpng', '-r150', ... |
456 |
|
|
['stress_' sprintf('%02d_%07.1f',iz,Rmid(iz)) 'm_150.png']) |
457 |
|
|
|
458 |
|
|
|
459 |
|
|
% Next level |
460 |
|
|
llvpbpm1 = llvpbp; |
461 |
|
|
|
462 |
|
|
end |
463 |
|
|
|
464 |
|
|
|
465 |
|
|
%======================================================= |
466 |
|
|
% Zonally average vpbpdbdz and stress |
467 |
|
|
|
468 |
|
|
clear all ; close all |
469 |
|
|
tx = 85; |
470 |
|
|
ty = 85; |
471 |
|
|
nt = 216; |
472 |
|
|
cx = 510; |
473 |
|
|
cy = 510; |
474 |
|
|
nz = 1; |
475 |
|
|
ne = 510; |
476 |
|
|
nps = ne * ne * 6; |
477 |
|
|
|
478 |
|
|
% XCS YCS XGS YGS |
479 |
|
|
fnam = [ 'XC' ; 'YC'; 'XG'; 'YG' ]; |
480 |
|
|
for in = 1:4 |
481 |
|
|
uid = fopen([fnam(in,:) '.data'], 'r', 'ieee-be'); |
482 |
|
|
phi = unmangleJPL1( reshape(fread(uid, nps, 'real*4'), ... |
483 |
|
|
tx*nt,ty), ne, tx ); |
484 |
|
|
fclose(uid); |
485 |
|
|
eval([lower(fnam(in,:)) ' = phi;']); |
486 |
|
|
a = zeros(6*510,510); |
487 |
|
|
for i = 1:6 |
488 |
|
|
xb = (i-1)*510 + 1; xe = xb + 510 - 1; |
489 |
|
|
yb = 1; ye = 510; |
490 |
|
|
a(xb:xe,yb:ye) = phi(:,:,i); |
491 |
|
|
end |
492 |
|
|
eval([lower(fnam(in,:)) 's = a;']) |
493 |
|
|
end |
494 |
|
|
xcs = xcs + -360.0*(xcs > 180.0); |
495 |
|
|
xgs = xgs + -360.0*(xgs > 180.0); |
496 |
|
|
clear phi a |
497 |
|
|
|
498 |
|
|
nz = 1; |
499 |
|
|
nr = 50; |
500 |
|
|
nrm1 = nr - 1; |
501 |
|
|
nlat = 181; nlatm1 = nlat - 1; |
502 |
|
|
|
503 |
|
|
hvals = linspace(-90,90,nlat); |
504 |
|
|
% save indicies for zonal averages |
505 |
|
|
i = 2; |
506 |
|
|
for i = 2:nlat |
507 |
|
|
inds = find(hvals(i-1)<yg & yg<hvals(i)); |
508 |
|
|
comm = sprintf('inds%04d = uint32(inds);',i-1); |
509 |
|
|
eval(comm); |
510 |
|
|
end |
511 |
|
|
|
512 |
|
|
% Zonally average Lat-Lon [uv]p[tsb]p |
513 |
|
|
for f = [ 't' 's' 'b' ] |
514 |
|
|
for uv = [ 'u' 'v' ] |
515 |
|
|
acc = zeros(nlatm1, nrm1); |
516 |
|
|
num = zeros(size(acc)); |
517 |
|
|
ne = 510; |
518 |
|
|
nps = ne * ne * 6; |
519 |
|
|
fname = [ 'out/ll' uv 'p' f 'p_1994-2003' ]; |
520 |
|
|
disp(['fname = "' fname '"']); |
521 |
|
|
zid = fopen(fname, 'r', 'ieee-be'); |
522 |
|
|
iz = 1; |
523 |
|
|
for iz = 1:50, |
524 |
|
|
disp(sprintf(' iz = %d',iz)); |
525 |
|
|
offset = (iz - 1)*nps*4; |
526 |
|
|
fseek(zid, offset, 'bof'); |
527 |
|
|
var = reshape(fread(zid, nps, 'real*4'),ne,ne,6); |
528 |
|
|
|
529 |
|
|
for jj = 1:nlatm1 |
530 |
|
|
eval( sprintf('clear inds; inds = inds%04d;',jj) ); |
531 |
|
|
tmp = var(inds); |
532 |
|
|
nzinds = find(tmp ~= 0.0); |
533 |
|
|
num(jj,iz) = length(nzinds); |
534 |
|
|
acc(jj,iz) = sum(tmp(nzinds)); |
535 |
|
|
end |
536 |
|
|
end |
537 |
|
|
fclose(zid); |
538 |
|
|
eval(['z' uv 'p' f 'p = acc ./ num;']); |
539 |
|
|
eval(['save z' uv 'p' f 'p z' uv 'p' f 'p']); |
540 |
|
|
end |
541 |
|
|
end |
542 |
|
|
|
543 |
|
|
% zonally average T,S,B |
544 |
|
|
for f = [ 't' 's' 'b' 'u' 'v' ] |
545 |
|
|
acc = zeros(nlatm1, 50); |
546 |
|
|
num = zeros(size(acc)); |
547 |
|
|
ne = 510; |
548 |
|
|
nps = ne * ne * 6; |
549 |
|
|
fname = [upper(f) '__tave_1994-2003']; |
550 |
|
|
disp(fname); |
551 |
|
|
zid = fopen(fname, 'r', 'ieee-be' ); |
552 |
|
|
iz = 1; |
553 |
|
|
for iz = 1:50, |
554 |
|
|
disp(sprintf(' iz = %d',iz)); |
555 |
|
|
offset = (iz - 1)*nps*4; |
556 |
|
|
fseek(zid, offset, 'bof'); |
557 |
|
|
var = reshape(fread(zid, nps, 'real*4'),ne,ne,6); |
558 |
|
|
jj = 22; |
559 |
|
|
for jj = 1:nlatm1 |
560 |
|
|
eval( sprintf('clear inds; inds = inds%04d;',jj) ); |
561 |
|
|
tmp = var(inds); |
562 |
|
|
nzinds = find(tmp ~= 0.0); |
563 |
|
|
num(jj,iz) = length(nzinds); |
564 |
|
|
acc(jj,iz) = sum(tmp(nzinds)); |
565 |
|
|
end |
566 |
|
|
end |
567 |
|
|
fclose(zid); |
568 |
|
|
eval(['zonal' upper(f) ' = acc ./ num;']); |
569 |
|
|
eval(['save zonal' upper(f) ' zonal' upper(f)]); |
570 |
|
|
end |
571 |
|
|
|
572 |
|
|
% zonally average vpbpdbdz |
573 |
|
|
acc = zeros(nlatm1, nrm1); |
574 |
|
|
num = zeros(size(acc)); |
575 |
|
|
ne = 510; |
576 |
|
|
nps = ne * ne * 6; |
577 |
|
|
zid = fopen('out/vpbpdbdz_1994-2003', 'r', 'ieee-be'); |
578 |
|
|
iz = 1; |
579 |
|
|
for iz = 1:49, |
580 |
|
|
disp(sprintf('iz = %d',iz)); |
581 |
|
|
offset = (iz - 1)*nps*4; |
582 |
|
|
fseek(zid, offset, 'bof'); |
583 |
|
|
vpbpdbdz = reshape(fread(zid, nps, 'real*4'),ne,ne,6); |
584 |
|
|
|
585 |
|
|
for jj = 1:nlatm1 |
586 |
|
|
eval( sprintf('clear inds; inds = inds%04d;',jj) ); |
587 |
|
|
tmp = vpbpdbdz(inds); |
588 |
|
|
nzinds = find(tmp ~= 0.0); |
589 |
|
|
num(jj,iz) = length(nzinds); |
590 |
|
|
acc(jj,iz) = sum(tmp(nzinds)); |
591 |
|
|
end |
592 |
|
|
end |
593 |
|
|
fclose(zid); |
594 |
|
|
zvpbpdbdz = acc ./ num; |
595 |
|
|
save zvpbpdbdz zvpbpdbdz |
596 |
|
|
|
597 |
|
|
% zonally average stress |
598 |
|
|
acc = zeros(nlatm1, nrm1); |
599 |
|
|
num = zeros(size(acc)); |
600 |
|
|
ne = 510; |
601 |
|
|
nps = ne * ne * 6; |
602 |
|
|
zid = fopen('out/stress_1994-2003', 'r', 'ieee-be'); |
603 |
|
|
iz = 1; |
604 |
|
|
for iz = 1:49, |
605 |
|
|
disp(sprintf('iz = %d',iz)); |
606 |
|
|
offset = (iz - 1)*nps*4; |
607 |
|
|
fseek(zid, offset, 'bof'); |
608 |
|
|
stress = reshape(fread(zid, nps, 'real*4'),ne,ne,6); |
609 |
|
|
jj = 22; |
610 |
|
|
for jj = 1:nlatm1 |
611 |
|
|
eval( sprintf('clear inds; inds = inds%04d;',jj) ); |
612 |
|
|
tmp = stress(inds); |
613 |
|
|
nzinds = find(tmp ~= 0.0); |
614 |
|
|
num(jj,iz) = length(nzinds); |
615 |
|
|
acc(jj,iz) = sum(tmp(nzinds)); |
616 |
|
|
end |
617 |
|
|
end |
618 |
|
|
fclose(zid); |
619 |
|
|
stress = acc ./ num; |
620 |
|
|
save stress stress |
621 |
|
|
|
622 |
|
|
%------- UNUSED ----------------------- |
623 |
|
|
% zonally average u |
624 |
|
|
acc = zeros(nlatm1, 50); |
625 |
|
|
num = zeros(size(acc)); |
626 |
|
|
ne = 510; |
627 |
|
|
nps = ne * ne * 6; |
628 |
|
|
zid = fopen('Ull_ave_1994--2003', 'r', 'ieee-be'); |
629 |
|
|
iz = 1; |
630 |
|
|
for iz = 1:50, |
631 |
|
|
disp(sprintf('iz = %d',iz)); |
632 |
|
|
offset = (iz - 1)*nps*4; |
633 |
|
|
fseek(zid, offset, 'bof'); |
634 |
|
|
U = reshape(fread(zid, nps, 'real*4'),ne,ne,6); |
635 |
|
|
jj = 22; |
636 |
|
|
for jj = 1:nlatm1 |
637 |
|
|
eval( sprintf('clear inds; inds = inds%04d;',jj) ); |
638 |
|
|
tmp = U(inds); |
639 |
|
|
nzinds = find(tmp ~= 0.0); |
640 |
|
|
num(jj,iz) = length(nzinds); |
641 |
|
|
acc(jj,iz) = sum(tmp(nzinds)); |
642 |
|
|
end |
643 |
|
|
end |
644 |
|
|
fclose(zid); |
645 |
|
|
zonalu = acc ./ num; |
646 |
|
|
% save zonalu zonalu |
647 |
|
|
|
648 |
|
|
% Vertical gradient of zonally averaged B (dB/dz) |
649 |
|
|
load zonalT |
650 |
|
|
load allR |
651 |
|
|
nz = size(zonalT,1); |
652 |
|
|
dzaTdz = zeros(nz,size(zonalT,2)-1); |
653 |
|
|
for iz = 2:50 |
654 |
|
|
dzaTdz(:,iz-1) = (zonalT(:,iz) - zonalT(:,iz-1)) ./ (R(iz) - R(iz-1)); |
655 |
|
|
end |
656 |
|
|
% save dzaTdz dzaTdz |
657 |
|
|
%------- UNUSED ----------------------- |
658 |
|
|
|
659 |
|
|
|
660 |
|
|
delR = [ |
661 |
|
|
10.00, 10.00, 10.00, 10.00, 10.00, 10.00, 10.00, 10.01, ... |
662 |
|
|
10.03, 10.11, 10.32, 10.80, 11.76, 13.42, 16.04 , 19.82, 24.85, ... |
663 |
|
|
31.10, 38.42, 46.50, 55.00, 63.50, 71.58, 78.90, 85.15, 90.18, ... |
664 |
|
|
93.96, 96.58, 98.25, 99.25,100.01,101.33,104.56,111.33,122.83, ... |
665 |
|
|
139.09,158.94,180.83,203.55,226.50,249.50,272.50,295.50,318.50, ... |
666 |
|
|
341.50,364.50,387.50,410.50,433.50,456.50 ]; |
667 |
|
|
R = cumsum(delR) - 0.5*delR; |
668 |
|
|
Rmid = R(1:(length(R)-1)) + 0.5*diff(R); |
669 |
|
|
hmid = [ -89.5:1:89.5 ]; |
670 |
|
|
save allR delR R Rmid hmid |
671 |
|
|
|
672 |
|
|
%------- UNUSED ----------------------- |
673 |
|
|
surf(hmid,-Rmid,num'), view(2), shading interp, colorbar |
674 |
|
|
caxis([ -1 1 ]) |
675 |
|
|
caxis('manual') |
676 |
|
|
surf(hmid,-Rmid,mu'), view(2), shading interp, colorbar |
677 |
|
|
title('Zonally Averaged Stress for 1994--2003 [cube5]') |
678 |
|
|
xlabel('Latitude [deg]') |
679 |
|
|
zlabel('Depth [m]') |
680 |
|
|
axis([ -90 90 -5500 200 ]) |
681 |
|
|
|
682 |
|
|
% print -dps -painters t_001.ps |
683 |
|
|
print('-painters', '-dpng', '-r150', 'za_str_94--03_r150.png') |
684 |
|
|
print('-painters', '-dpng', '-r650', 'za_str_94--03_r650.png') |
685 |
|
|
|
686 |
|
|
% plot and print bar(U) |
687 |
|
|
load zonalu |
688 |
|
|
surf(hmid,-R,zonalu'), view(2), shading interp, colorbar |
689 |
|
|
contour(hmid,-R,mu'), colorbar |
690 |
|
|
ac = 25; |
691 |
|
|
ac = [-0.3:.005:.3]; |
692 |
|
|
[c,h] = contourf(hmid,-R,mu',ac); colorbar |
693 |
|
|
hold on, contour(hmid,-R,mu',ac), hold off |
694 |
|
|
title('Zonally Averaged U for 1994--2003 [cube5]') |
695 |
|
|
xlabel('Latitude [deg]') |
696 |
|
|
zlabel('Depth [m]') |
697 |
|
|
axis([ -90 90 -6000 200 ]) |
698 |
|
|
print('-painters', '-dpng', '-r150', 'Ull_94--03_r150.png') |
699 |
|
|
print('-painters', '-dpng', '-r650', 'Ull_94--03_r650.png') |
700 |
|
|
%------- UNUSED ----------------------- |
701 |
|
|
|
702 |
|
|
|
703 |
|
|
%======================================================= |
704 |
|
|
% Put it all in NetCDF |
705 |
|
|
|
706 |
|
|
clear all ; close all |
707 |
|
|
|
708 |
|
|
load allR |
709 |
|
|
|
710 |
|
|
load zonalU ; i1 = 'U'; u1 = 'm/s'; |
711 |
|
|
load zonalV ; i2 = 'V'; u2 = 'm/s'; |
712 |
|
|
load zonalT ; i3 = 'T'; u3 = 'deg C'; |
713 |
|
|
load zonalS ; i4 = 'S'; u4 = 'PSU'; |
714 |
|
|
load zonalB ; i5 = 'B'; u5 = 'bouyancy'; |
715 |
|
|
load zuptp ; i10 = 'uT'; u10 = 'm*(deg C)/s'; |
716 |
|
|
load zvptp ; i11 = 'vT'; u11 = 'm*(deg C)/s'; |
717 |
|
|
load zupsp ; i12 = 'uS'; u12 = 'm*(PSU)/s'; |
718 |
|
|
load zvpsp ; i13 = 'vS'; u13 = 'm*(PSU)/s'; |
719 |
|
|
load zupbp ; i14 = 'uB'; u14 = 'm/s'; |
720 |
|
|
load zvpbp ; i15 = 'vB'; u15 = 'm/s'; |
721 |
|
|
load zvpbpdbdz ; i20 = 'zvpbpdbdz'; u20 = '1/s'; |
722 |
|
|
load stress ; i21 = 'stress'; u21 = 'N/(m^2)'; |
723 |
|
|
|
724 |
|
|
!rm -f Zave_94-03.nc |
725 |
|
|
nc = netcdf('Zave_94-03.nc', 'clobber'); |
726 |
|
|
nc.reference = 'Zonal averages from Dimitris "cube 5" integrations'; |
727 |
|
|
nc.author = 'Ed Hill <eh3@mit.edu>'; |
728 |
|
|
nc.date = 'Aug 19, 2004'; |
729 |
|
|
nc('X') = length(hmid); |
730 |
|
|
nc('Y') = length(R); |
731 |
|
|
nc('Ym1') = length(R) - 1; |
732 |
|
|
nc{'X'} = 'X'; |
733 |
|
|
nc{'Y'} = 'Y'; |
734 |
|
|
nc{'Ym1'} = 'Ym1'; |
735 |
|
|
for ii = [ 1:5 10:15 ] |
736 |
|
|
eval(sprintf('nc{ i%d } = { ''Y'', ''X'' };',ii)); |
737 |
|
|
end |
738 |
|
|
nc{ i20 } = { 'Ym1', 'X' }; |
739 |
|
|
nc{ i21 } = { 'Ym1', 'X' }; |
740 |
|
|
nc{'X'}.uniquename = 'X'; |
741 |
|
|
nc{'X'}.long_name = 'latitude'; |
742 |
|
|
nc{'X'}.gridtype = ncint(0); |
743 |
|
|
nc{'X'}.units = 'degree_north'; |
744 |
|
|
nc{'Y'}.uniquename = 'Y'; |
745 |
|
|
nc{'Y'}.long_name = 'depth'; |
746 |
|
|
nc{'Y'}.gridtype = ncint(1); |
747 |
|
|
nc{'Y'}.units = 'm'; |
748 |
|
|
nc{'Ym1'}.uniquename = 'Ym1'; |
749 |
|
|
nc{'Ym1'}.long_name = 'depth'; |
750 |
|
|
nc{'Ym1'}.gridtype = ncint(1); |
751 |
|
|
nc{'Ym1'}.units = 'm'; |
752 |
|
|
for ii = [ 1:5 10:15 20:21 ] |
753 |
|
|
eval(sprintf('nc{ i%d }.units = u%d;',ii,ii)); |
754 |
|
|
eval(sprintf('nc{ i%d }.long_name = i%d;',ii,ii)); |
755 |
|
|
eval(sprintf('nc{ i%d }.missing_value = ncdouble(NaN);',ii)); |
756 |
|
|
eval(sprintf('nc{ i%d }.FillValue_ = ncdouble(0.);',ii)); |
757 |
|
|
end |
758 |
|
|
nc{'X'}(:) = hmid; |
759 |
|
|
nc{'Y'}(:) = -R; |
760 |
|
|
nc{'Ym1'}(:) = -Rmid; |
761 |
|
|
nc{ i1 }(:) = permute(zonalU,[ 2 1 ]); |
762 |
|
|
nc{ i2 }(:) = permute(zonalV,[ 2 1 ]); |
763 |
|
|
nc{ i3 }(:) = permute(zonalT,[ 2 1 ]); |
764 |
|
|
nc{ i4 }(:) = permute(zonalS,[ 2 1 ]); |
765 |
|
|
nc{ i5 }(:) = permute(zonalB,[ 2 1 ]); |
766 |
|
|
nc{ i10 }(:) = permute(zuptp,[ 2 1 ]); |
767 |
|
|
nc{ i11 }(:) = permute(zvptp,[ 2 1 ]); |
768 |
|
|
nc{ i12 }(:) = permute(zupsp,[ 2 1 ]); |
769 |
|
|
nc{ i13 }(:) = permute(zvpsp,[ 2 1 ]); |
770 |
|
|
nc{ i14 }(:) = permute(zupbp,[ 2 1 ]); |
771 |
|
|
nc{ i15 }(:) = permute(zvpbp,[ 2 1 ]); |
772 |
|
|
nc{ i20 }(:) = permute(zvpbpdbdz,[ 2 1 ]); |
773 |
|
|
nc{ i21 }(:) = permute(stress,[ 2 1 ]); |
774 |
|
|
nc = close(nc); |
775 |
|
|
|
776 |
|
|
% !scp Zave_94-03.nc ingrid.mit.edu:INGRID_PEOPLE/EH3/eddy_flux/cube_5/ |