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edhill |
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% $Header: $ |
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% |
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% Ed Hill |
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% |
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% Check the (u'b'),(v'b') values using the linear EoS: |
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% |
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% v'b' =approx= g * Alpha * v't' - g * Beta * v's' |
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% |
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% where: |
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% g = 9.81 |
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% Alpha = 2.10^{-4} |
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% Beta = 7.10^{-4} |
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clear all ; close all |
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fnam = [ 'U_'; 'V_'; 'S_'; 'T_'; 'B_'; 'US'; 'UT'; 'UB'; 'VS'; 'VT'; 'VB' ]; |
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vnam = lower(fnam); |
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for i = 1:size(fnam,1) |
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c = sprintf(['%sfid = ' ... |
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'fopen(''%s_tave_1996'',''r'',''ieee-be'');'], ... |
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vnam(i,:),fnam(i,:) ); |
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disp(c); |
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eval(c); |
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end |
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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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nztot = 50; |
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ne = 510; |
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nps = 6 * ne * ne; |
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iz = 1; |
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for iz = 1:nztot |
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offset = (iz - 1)*nps*4; |
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for i = 1:size(fnam,1) |
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c = sprintf('fseek(%sfid, offset, ''bof'');',vnam(i,:)); |
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disp(c); |
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eval(c); |
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c = sprintf(['%s = reshape(fread(%sfid, nps,' ... |
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'''real*4''),ne,ne,6);'],vnam(i,:),vnam(i,:)); |
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disp(c); |
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eval(c); |
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end |
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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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% Calculate 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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% Calculate the linear-EoS approximation |
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Alpha = 2.0*10^-4; |
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Beta = 7.0*10^-4; |
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lin_upbp = 9.81.*( Alpha.*uptp - Beta.*upsp ); |
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lin_vpbp = 9.81.*( Alpha.*vptp - Beta.*vpsp ); |
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lns_upbp = 9.81.*( Alpha.*uptp ); |
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ljs_upbp = 9.81.*( -Beta.*upsp ); |
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% Quick plots |
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figure(1), surf( vptp(:,:,6)), view(2), shading interp, colorbar, ... |
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title('v''T''') |
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figure(1), surf( upbp(:,:,1)), view(2), shading interp, colorbar, ... |
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title('u''B'' from JMD95 EoS') |
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figure(2), surf(lin_upbp(:,:,1)), view(2), shading interp, colorbar, ... |
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title('u''B'' from Linear EoS') |
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figure(3), surf(lns_upbp(:,:,1)), view(2), shading interp, colorbar, ... |
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title('u''B'' by forgetting salt') |
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figure(4), surf(ljs_upbp(:,:,1)), view(2), shading interp, colorbar, ... |
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title('u''B'' with just salt') |
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figure(3), surf( uptp(:,:,1)), view(2), shading interp, colorbar, ... |
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title('u''T''') |
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figure(4), surf( upsp(:,:,1)), view(2), shading interp, colorbar, ... |
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title('u''S''') |
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figure(3), surf( s_(:,:,1)), view(2), shading interp, colorbar, ... |
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title('S') |
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figure(4), surf( t_(:,:,1)), view(2), shading interp, colorbar, ... |
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title('T') |
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figure(3), surf( sonu(:,:,1)), view(2), shading interp, colorbar, ... |
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title('S (on U points)') |
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figure(4), surf( tonu(:,:,1)), view(2), shading interp, colorbar, ... |
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title('T (on U points)') |
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figure(3), surf( ut(:,:,1)), view(2), shading interp, colorbar, ... |
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title('UT') |
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figure(4), surf( us(:,:,1)), view(2), shading interp, colorbar, ... |
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title('US') |
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% Check bar(B) with bar(T),bar(S) |
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p = 0.09998 * 9.81 * R(iz); |
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for icf = 1:6 |
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bcheck(:,:,icf) = ... |
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eh3densjmd95( squeeze(s_(:,:,icf)), ... |
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squeeze(t_(:,:,icf)), p ) * -9.81 / 1000; |
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end |
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figure(3), surf( b_(:,:,1)), view(2), shading interp, ... |
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caxis([-10.1 -9.8]), colorbar, title('bar(B) from model') |
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figure(4), surf( bcheck(:,:,1)), view(2), shading interp, ... |
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caxis([-10.1 -9.8]), colorbar, title('bar(B) from bar(T),bar(S)') |
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end |
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