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function [n2] = dens_poly3(poly3,t,s,dzc) |
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% D=DENS_POLY3(P,T,S,dzc) |
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% |
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% Calculates Brunt-Vasala frequecy 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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% >> N2=n2_poly3(P,T,S); |
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% |
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% or to work within a single model level |
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% >> N2=n2_poly3(P,T(:,:,3),S(:,:,3),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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n2=0*t; |
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for k=2:nz, |
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d1=dens_poly3(poly3(k-1),t(:,k-1),s(:,k-1)); |
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d2=dens_poly3(poly3(k-1),t(:,k ),s(:,k )); |
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dRdz=(d1-d2)/dzc(k); |
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dRdz( find( t(:,k)==0 ) )=0; |
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n2(:,k)=-9.81*dRdz; |
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end |
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|
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n2=reshape(n2,n); |