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%Verion of gendata.m modified by DNG |
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%This is a matlab script that generates the input data |
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|
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% the configuation approximately the ISOMIP experiment no. 1 |
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% require matlab functions for equation of state |
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|
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% Dimensions of grid |
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nx=3; |
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ny=200; |
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nz=90; |
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delz = 10; |
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|
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hfacMin = 0.2; |
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%mwct = 3; |
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|
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dlat = 0.125/32; dy=dlat; |
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dlon = 0.125/4; dx=dlon; |
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|
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%eos = 'linear'; |
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eos = 'jmd95z'; |
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% eos = 'mdjwf'; |
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|
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acc = 'real*8'; |
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|
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long = [-105.5:dlon:-105.5]; |
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lonc = long+dlon/2; |
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latg = [-75.4457:dlat:-73.8809-dlat]; |
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latc = latg+dlat/2; |
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size(latc); |
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|
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|
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|
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dz = delz*ones(1,nz); |
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zgp1 = [0,cumsum(dz)]; |
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zc = .5*(zgp1(1:end-1)+zgp1(2:end)); |
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zg = zgp1(1:end-1); |
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dz = diff(zgp1); |
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% sprintf('delZ = %d * %7.6g,',nz,dz) |
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|
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%%%%%%%%% stratification %%%%%%%%%%%%%%%% |
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|
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T_sfc = -1.9; |
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T_bottom = 1.2; |
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del_T = (T_bottom - T_sfc)/(59*delz); |
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|
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for iz = 1:nz; |
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|
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|
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tref(iz) = T_sfc + del_T*((iz-30)*delz); |
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if iz<=30; |
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tref(iz)=-1.9; |
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end |
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if iz>=90 |
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tref(iz) =2; |
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end |
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end |
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|
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S_sfc = 34.2; |
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S_bottom = 34.7; |
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del_S = (S_bottom - S_sfc)/(59*delz); |
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|
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for iz = 1:nz; |
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|
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|
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sref(iz) = S_sfc + del_S*((iz-30)*delz); |
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if iz<=30; |
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sref(iz)=34.2; |
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end |
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if iz>=90 |
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sref(iz) =34.7; |
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end |
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end |
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|
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%%%%%%%%%%% density %%%%%%%%%%%%%%%%% |
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|
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% Gravity |
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gravity=9.81; |
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rhoConst = 1000; |
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k=1; |
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dzm = abs([zg(1)-zc(1) .5*diff(zc)]); |
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dzp = abs([.5*diff(zc) zc(end)-zg(end)]); |
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p = abs(zc)*gravity*rhoConst*1e-4; |
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dp = p; |
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kp = 0; |
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|
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Rho = zeros(nz,1); |
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|
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while rms(dp) > 1e-13 |
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phiHydF(k) = 0; |
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p0 = p; |
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kp = kp+1; |
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for k = 1:nz |
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switch eos |
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case 'linear' |
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|
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case 'jmd95z' |
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drho = densjmd95(sref(k),tref(k),p(k))-rhoConst; |
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case 'mdjwf' |
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drho = densmdjwf(sref(k),tref(k),p(k))-rhoConst; |
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otherwise |
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error(sprintf('unknown EOS: %s',eos)) |
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end |
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Rho(k) = drho+rhoConst; |
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phiHydC(k) = phiHydF(k) + dzm(k)*gravity*drho/rhoConst; |
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phiHydF(k+1) = phiHydC(k) + dzp(k)*gravity*drho/rhoConst; |
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end |
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switch eos |
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case 'mdjwf' |
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p = (gravity*rhoConst*abs(zc) + phiHydC*rhoConst)/gravity/rhoConst; |
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end |
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dp = p-p0; |
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end |
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|
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shelficemass = binread('h0.bin',3,200) * 917; |
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|
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%phi0surf = zeros(nx,ny); |
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topo = zeros(nx,ny); |
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|
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for ix=1:nx |
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for iy=1:ny |
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% k=max(find(abs(zg)<abs(topo(ix,iy)))); |
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% if isempty(k) |
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% k=0; |
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% end |
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% if k>0 |
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|
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% dr = -zg(k) - topo(ix,iy); |
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|
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% if (dr<delz/2) |
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% phi0surf(ix,iy) = phiHydF(k) + (delz/2-dr) * (phiHydC(k)-phiHydF(k))/(delz/2); |
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% else |
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% phi0surf(ix,iy) = phiHydC(k) + (dr-delz/2) * (phiHydF(k+1)-phiHydC(k))/(delz/2); |
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% end |
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|
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% end |
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|
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mass = shelficemass (ix,iy); |
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massFuncC = rhoConst * (phiHydC/gravity + zc); |
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massFuncF = rhoConst * (phiHydF/gravity + zgp1); |
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|
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k = max (find ( massFuncF < mass )); |
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if (isempty(k)) |
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k=0; |
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end |
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if (k>0) |
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if (mass < massFuncC(k)) |
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topo(ix,iy) = -zg(k) - (mass-massFuncF(k)) * delz/2 / (massFuncC(k)-massFuncF(k)); |
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else |
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topo(ix,iy) = -zc(k) - (mass-massFuncC(k)) * delz/2 / (massFuncF(k+1)-massFuncC(k)); |
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end |
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end |
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|
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end |
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end |
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|
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%mass = rhoConst * (phi0surf / gravity - topo); |
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%mass(:,1:100) = mass(:,1:100) + 917 * 10; |
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%topo(:,1:100) = bathy(:,1:100)+mwct; |
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|
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etainit = zeros(size(topo)); |
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|
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% new topography: icetopo rounded to the nearest k * deltaZ |
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% eta_init set to make difference |
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|
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icetopo2 = topo; |
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|
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for ix=1:nx |
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for iy=1:ny |
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k=max(find(abs(zg)<abs(icetopo2(ix,iy)))); |
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if isempty(k) |
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k=0; |
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else |
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|
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dr = 1-(-zg(k) - icetopo2(ix,iy))/delz; |
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if (dr > .25) |
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% bring Ro_surf *up* to closest grid face & make etainit negative |
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% to compensate |
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icetopo2(ix,iy) = -zg(k); |
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etainit(ix,iy) = (dr-1)*delz; |
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else |
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% bring Ro_surf *down* to closest grid face & make etainit pos |
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% to compensate |
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icetopo2(ix,iy) = -zg(k+1); |
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etainit(ix,iy) = (dr)*delz; |
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end |
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|
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end |
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end |
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end |
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|
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etainit(:,1)=0; |
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icetopo2(:,1)=0; |
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bathy(:,1)=0; |
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|
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fid = fopen('shelftopo.round.bin','w','b'); fwrite(fid,icetopo2,'real*8'); fclose(fid); |
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fid = fopen('etainit.round.bin','w','b'); fwrite(fid,etainit,'real*8'); fclose(fid); |
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fid = fopen('shelficemassinit.bin','w','b'); fwrite(fid,shelficemass,'real*8'); fclose(fid); |
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%fid = fopen('bathy_step.bin','w','b'); fwrite(fid,bathy,'real*8'); fclose(fid); |
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