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function [dens] = dens_poly3(poly3,t,s) |
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% D=DENS_POLY3(P,T,S) |
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% |
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% Calculates in-situ density as approximated by the POLY3 method |
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% used in the MITgcm. |
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% P - coefficients read from file 'POLY3.COEFFS' using INI_POLY3 |
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% T - potential temperature |
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% S - salinity |
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% |
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% eg. |
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% >> P=ini_poly3; |
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% >> T=rdmds('T',100); |
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% >> S=rdmds('S',100); |
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% >> D=dens_poly3(P,T,S); |
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% |
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% or to work within a single model level |
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% >> D=dens_poly3(P(3),T(:,:,3),S(:,:,3)); |
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|
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if size(t) ~= size(s) |
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error('T and S must be the same shape and size') |
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end |
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%if size(t,ndims(t)) ~= size(poly3,2) |
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% error('Last dimension of T and S must be the number of levels in P') |
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%end |
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|
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n=size(t); |
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nz=size(poly3,2); |
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|
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t=reshape(t,[prod(size(t))/nz nz]); |
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s=reshape(s,[prod(size(t))/nz nz]); |
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|
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for k=1:nz, |
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tRef=poly3(k).t; |
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sRef=poly3(k).s; |
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dRef=poly3(k).dens; |
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tp=t(:,k)-tRef; |
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sp=s(:,k)-sRef; |
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|
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deltaSig= ... |
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poly3(k).coeffs(1) .*tp ... |
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+poly3(k).coeffs(2) .*sp ... |
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+poly3(k).coeffs(3) .*tp.*tp ... |
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+poly3(k).coeffs(4) .*tp .*sp ... |
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+poly3(k).coeffs(5) .*sp.*sp ... |
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+poly3(k).coeffs(6) .*tp.*tp.*tp ... |
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+poly3(k).coeffs(7) .*tp.*tp .*sp ... |
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+poly3(k).coeffs(8) .*tp .*sp.*sp ... |
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+poly3(k).coeffs(9) .*sp.*sp.*sp ... |
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; |
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dens(:,k)=deltaSig+dRef; |
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end |
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|
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dens=reshape(dens,n); |
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