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adcroft |
1.1 |
% This is a matlab script that generates the input data |
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% variable x resolution |
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prec='real*8'; |
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ieee='b'; |
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% Dimensions of grid |
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%nx=50; |
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nx=200; |
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ny=45; |
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nz=25; |
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% Nominal depth of model (meters) |
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H=3600.0; |
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% Size of domain |
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Ly=600.0e3; |
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%Lx=500.0e3; |
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Lx=2000.0e3; |
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% Horizontal resolution (m) |
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dx=zeros(nx,1); |
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for i=1:nx |
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dx(i) = Lx/(nx); |
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end |
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dy=zeros(ny,1); |
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%for i=1:ny |
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%dy(i) = Ly/(ny); |
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%end |
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% y-resolution ramps from 10km to 40km in southern basin: |
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y = [0:600]; |
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y0 = 420; yw = 40; r1 = 10; r2 = 40; |
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dy = (r1+r2)/2 - (r1-r2)/2*tanh((y-y0)/yw); |
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yg = 0; ii = 1; dely = dy(1); |
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while yg(ii)<=max(y)-dely, |
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dely = interp1(y,dy,yg(ii)); |
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yg(ii+1) = yg(ii) + dely; |
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ii = ii+1; |
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end |
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yg(ii) = max(y); |
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%plot(yg,mean(dy),'b+'); hold on; |
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%plot(0.5*(yg(1:end-1)+yg(2:end)),diff(yg),'rx-'); |
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%plot(y,dy,'c.-'); grid on |
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%pause |
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dy = fliplr(diff(yg)*1e3); |
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dz=zeros(nz,1); |
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for i=1:nz |
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dz(i)=H/nz; |
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end |
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%sprintf('delZ = %d * %7.6g,',nz,dz) |
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z=zeros(nz,1); |
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z(1) = -dz(1)/2.0; |
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for i=2:nz |
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z(i)=z(i-1) - dz(i); |
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end |
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% Stratification |
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gravity=9.81; |
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talpha=2.0e-4; |
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rho0=1030.0; |
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rhotop=1030.0; |
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%rhobot=1030.0; |
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rhobot=1032.0; |
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%gravity=10; |
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%talpha=1.0e-4; |
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%rho0=1000.0; |
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%rhotop=1000.0; |
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%rhobot=1000.0; |
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N2=((rhobot-rhotop)/H)/rho0*gravity |
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Tz=N2/(gravity*talpha) ; |
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% Temperature profile. tRef is a single reference temperature, Tbg is |
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% a background profile, t is a three-dimensional initial stratification. |
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tRef = 0; |
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%Tref=Tz*(z+H) + (rhobot-rho0)/(rho0*talpha) + 1.0; |
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%Tref=Tz*(z+H) + (rhobot-rho0)/(rho0*talpha) |
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Tbg =Tz*(z+H) - (rhobot-rho0)/(rho0*talpha) + tRef; |
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[sprintf('Tref =') sprintf(' %8.6g,',Tbg)] |
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%t=0.00001*rand([nx,ny,nz]); |
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t=0*rand([nx,ny,nz]); |
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for k=1:nz |
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t(:,:,k) = t(:,:,k) + Tbg(k); |
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end |
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fid=fopen('T.init','w',ieee); fwrite(fid,t,prec); fclose(fid); |
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% this could be done more elegantly... |
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x=zeros(nx,1); |
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x(1) = 0.5*dx(1); % center of grid cell |
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for i=2:nx |
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x(i)=x(i-1) + 0.5*dx(i-1) + 0.5*dx(i); |
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end |
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y=zeros(ny,1); |
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y(1) = dy(1); % north edge of grid cell |
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for i=2:ny |
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y(i) = y(i-1) + dy(i); |
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end |
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% Linear slope and embayment |
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slope = 0.01; |
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%slope = 0.005; |
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lembay=50.0e3; % length of embayment |
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eastwall = 1; % make a wall on the eastern boundary |
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westwall = 0; % make a wall on the western boundary |
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% These three parameters should match with Width, Dmax and Xcenter |
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% (respectively) in data.obcs or else funny stuff will happen... |
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wembay=100.0e3; % width of embayment |
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dembay=600.0; % depth of embayment |
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embay_ctr=1700.0e3; % x-coordinate of embayment center |
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%xembay=Lx-150.0e3-wembay; %x location of start of embayment |
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xembay=embay_ctr-wembay/2; |
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d=0.0*rand([nx,ny]); |
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for i=1:nx |
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d(:,1) = 0.0; |
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for j=2:ny |
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yneg=Ly-y(j); |
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if yneg < lembay |
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if x(i) > xembay |
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if x(i) < xembay+wembay |
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d(i,j) = -dembay; |
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else |
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d(i,j) = 0.0; |
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end |
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else |
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d(i,j) = 0.0; |
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end |
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else |
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d(i,j) = -slope*(yneg - lembay) - dembay; |
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end |
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if d(i,j) < -H |
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d(i,j) = -H; |
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end |
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end |
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end |
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if eastwall |
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d(nx,:) = 0.0; % east wall |
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end |
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if westwall |
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d(1,:) = 0.0; % west wall |
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end |
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fid=fopen('topog.slope','w',ieee); fwrite(fid,d,prec); fclose(fid); |
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hold off; |
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plot(x,d(:,2),'.-'); grid on |
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%plot(y,d(2,:),'.-'); grid on |
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%fid=fopen('delXvar','w',ieee); fwrite(fid,dx,prec); fclose(fid); |
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fid=fopen('delYvar','w',ieee); fwrite(fid,dy,prec); fclose(fid); |
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