| 1 |
%function geninit() |
| 2 |
% This function generates initial condition files for the mitgcm. |
| 3 |
% if init_vel=1, then the front problem is used |
| 4 |
% if init_vel=0, then resting (other than small symmetry-breaking |
| 5 |
% random noise) initial conditions are used. |
| 6 |
|
| 7 |
nx=50 |
| 8 |
ny=nx/2+1 |
| 9 |
nz=40 |
| 10 |
init_vel=1; |
| 11 |
dxspacing=1000 |
| 12 |
dyspacing=dxspacing |
| 13 |
|
| 14 |
Lx=dxspacing*nx |
| 15 |
Ly=dyspacing*ny |
| 16 |
|
| 17 |
%-- Params |
| 18 |
g=9.81; |
| 19 |
tAlpha=-2e-4; |
| 20 |
f0=7.29e-5; |
| 21 |
rho=1035 |
| 22 |
day=24*60^2; |
| 23 |
prec='real*8'; |
| 24 |
ieee='b'; |
| 25 |
|
| 26 |
H=200; %Max depth |
| 27 |
|
| 28 |
%-- Grid: x |
| 29 |
dx=ones(1,nx); % uniform resolution |
| 30 |
dx=dx*Lx/sum(dx); |
| 31 |
xf=cumsum([0 dx]); % Face x points |
| 32 |
xc=(xf(1:end-1)+xf(2:end))/2; % Centered x points |
| 33 |
|
| 34 |
%-- Grid: y |
| 35 |
dy=ones(1,ny); % uniform resolution |
| 36 |
dy=dy*Ly/sum(dy); |
| 37 |
yf=cumsum([0 dy]); % Face y-points |
| 38 |
yc=(yf(1:end-1)+yf(2:end))/2; %Centered y-points |
| 39 |
L=yc(end)-yc(1); % this takes into account the wall of topography!!! |
| 40 |
|
| 41 |
%-- Grid: z |
| 42 |
dh=H/nz*ones(1,nz); |
| 43 |
zf=-round(cumsum([0 dh])/1)*1; % Face z points |
| 44 |
dh=-diff(zf); |
| 45 |
zc=(zf(1:end-1)+zf(2:end))/2; % centered z points |
| 46 |
nz=length(dh); |
| 47 |
H=sum(dh) |
| 48 |
|
| 49 |
[XT,YT,ZT]=ndgrid(xc,yc,zc); % This is the centered, temperature grid. |
| 50 |
[XU,YU,ZU]=ndgrid(xf,yc,zc); % This is the U grid. |
| 51 |
[XV,YV,ZV]=ndgrid(xc,yf,zc); % This is the V grid. |
| 52 |
[XW,YW,ZW]=ndgrid(xc,yc,zf); % This is the W grid. |
| 53 |
[XB,YB]=ndgrid(xc,yc); % This is the Bathymetry grid. |
| 54 |
|
| 55 |
% Stratification Params |
| 56 |
Dml=200; % Mixed-layer Depth |
| 57 |
D=Dml; |
| 58 |
Lf=2*1e3; % Half-Width of Front |
| 59 |
y0=yc(round(length(yc)/2)); % centered location of Front |
| 60 |
|
| 61 |
Ms=(2e-4)^2 %db/dy 2e-4 is about 1 K/50 km |
| 62 |
Ns=9*Ms^2/f0^2 %db/dz |
| 63 |
|
| 64 |
deltatheta=Lf*Ms/g/tAlpha |
| 65 |
T0=17 |
| 66 |
dthetadz=-Ns/g/tAlpha |
| 67 |
|
| 68 |
%-- Bathymetry |
| 69 |
% Bathymetry is on Xc, Yc |
| 70 |
hh=ones(size(XB)); |
| 71 |
hh(:,end)=0*hh(:,end); |
| 72 |
hh=-H*hh; |
| 73 |
|
| 74 |
figure(1) |
| 75 |
subplot(221) |
| 76 |
pcolor(XB/1e3,YB/1e3,hh) |
| 77 |
axis equal |
| 78 |
|
| 79 |
subplot(223) |
| 80 |
plot(xc/1e3,dx/1e3,'.'); xlabel('X (km)');ylabel('\Delta x (km)') |
| 81 |
title('\Delta x') |
| 82 |
|
| 83 |
subplot(222) |
| 84 |
plot(dy/1e3,yc/1e3,'.'); ylabel('Y (km)');xlabel('\Delta y (km)') |
| 85 |
title('\Delta y') |
| 86 |
|
| 87 |
subplot(224) |
| 88 |
plot(dh,zc,'.'); ylabel('Z (m)');xlabel('\Delta z (m)') |
| 89 |
title('\Delta z') |
| 90 |
|
| 91 |
fid=fopen('topo_sl.bin','w',ieee); fwrite(fid,hh,prec); fclose(fid); |
| 92 |
|
| 93 |
% Initial Temp Profile |
| 94 |
figure(2) |
| 95 |
subplot(4,2,1) |
| 96 |
theta=T0+dthetadz*(ZT-ZT(1,1,end))+deltatheta*tanh((YT-y0)/Lf)/2; |
| 97 |
|
| 98 |
% Impose a strong initial and restoring mixed layer to Dml |
| 99 |
i=1; |
| 100 |
iml=1; |
| 101 |
|
| 102 |
while ((ZT(1,1,iml)>-Dml)&(iml<length(ZT(1,1,:)))) |
| 103 |
iml=iml+1; |
| 104 |
end |
| 105 |
|
| 106 |
while (i<iml) |
| 107 |
theta(:,:,i)=theta(:,:,iml); |
| 108 |
i=i+1; |
| 109 |
end |
| 110 |
|
| 111 |
[ZT(1,1,1) theta(1,1,1) theta(1,end,1) ;ZT(1,1,i) theta(1,1,i) theta(1,end,i);ZT(1,1,end) theta(1,1,end) theta(1,end,end)] |
| 112 |
|
| 113 |
|
| 114 |
subplot(4,2,1) |
| 115 |
[h,c]=contourf(squeeze(YT(1,:,:))/1e3,squeeze(ZT(1,:,:)),squeeze(theta(1,:,:))); |
| 116 |
axis([(yc(round(length(yc)/2))-1.5*Lf)/1e3 (yc(round(length(yc)/2))+1.5*Lf)/1e3 -Dml 0]) |
| 117 |
colorbar |
| 118 |
title('Potl Temp') |
| 119 |
xlabel('y (km)');ylabel('z (m)') |
| 120 |
|
| 121 |
subplot(4,2,2) |
| 122 |
[h,c]=contourf(squeeze(YT(1,:,:))/1e3,squeeze(ZT(1,:,:)),squeeze(theta(1,:,:))); |
| 123 |
colorbar |
| 124 |
title('Potl Temp') |
| 125 |
xlabel('y (km)');ylabel('z (m)') |
| 126 |
|
| 127 |
|
| 128 |
subplot(4,2,3) |
| 129 |
dens=theta*rho*tAlpha+rho; |
| 130 |
[h,c]=contour(squeeze(YT(1,:,:))/1e3,squeeze(ZT(1,:,:)),squeeze(dens(1,:,:))); |
| 131 |
title('Density') |
| 132 |
xlabel('y (km)');ylabel('z (m)') |
| 133 |
axis([(yc(round(length(yc)/2))-1.5*Lf)/1e3 (yc(round(length(yc)/2))+1.5*Lf)/1e3 -Dml 0]) |
| 134 |
|
| 135 |
%Spice |
| 136 |
|
| 137 |
x1=xc(round(length(xc)/4)); % centered location of Front #1 |
| 138 |
x2=xc(round(3*length(xc)/4)); % centered location of Front #2 |
| 139 |
spice=T0+dthetadz*(ZT-ZT(1,1,end))+deltatheta*(tanh((XT-x1)/Lf)-tanh((XT-x2)/Lf)-1)/2; |
| 140 |
|
| 141 |
i=1 |
| 142 |
while (i<iml) |
| 143 |
spice(:,:,i)=spice(:,:,iml); |
| 144 |
i=i+1; |
| 145 |
end |
| 146 |
|
| 147 |
|
| 148 |
subplot(4,2,8) |
| 149 |
[h,c]=contourf(squeeze(XT(:,1,:))/1e3,squeeze(ZT(:,1,:)),squeeze(spice(:,1,:))); |
| 150 |
title('Spice') |
| 151 |
xlabel('x (km)');ylabel('z (m)') |
| 152 |
|
| 153 |
subplot(4,2,4) |
| 154 |
[h,c]=contour(squeeze(YT(1,:,:))/1e3,squeeze(ZT(1,:,:)),squeeze(dens(1,:,:))); |
| 155 |
title('Density') |
| 156 |
xlabel('y (km)');ylabel('z (m)') |
| 157 |
|
| 158 |
subplot(4,2,7) |
| 159 |
decay=dyspacing; |
| 160 |
|
| 161 |
figure(2) |
| 162 |
plot(YB(1,:)/1e3,hh(1,:)) |
| 163 |
title('topography') |
| 164 |
xlabel('x (km)');ylabel('value') |
| 165 |
|
| 166 |
%-- Perturb Initial temperature |
| 167 |
pert=rand(size(theta(:,:,1))); |
| 168 |
pert=1e-5*(pert-0.5); |
| 169 |
for i=1:length(theta(1,1,:)) |
| 170 |
theta(:,:,i)=theta(:,:,i)+pert; |
| 171 |
end |
| 172 |
|
| 173 |
fid=fopen('thetaInitial.bin','w',ieee); |
| 174 |
fwrite(fid,theta,prec); fclose(fid); |
| 175 |
|
| 176 |
fid=fopen('spiceInitial.bin','w',ieee); |
| 177 |
fwrite(fid,spice,prec); fclose(fid); |
| 178 |
|
| 179 |
|
Parent Directory
| 
Revision Log
| 
Revision Graph