| 1 |
% This is a matlab script that generates the input data |
| 2 |
% variable x resolution |
| 3 |
prec='real*8'; |
| 4 |
ieee='b'; |
| 5 |
|
| 6 |
% Dimensions of grid |
| 7 |
%nx=50; |
| 8 |
nx=200; |
| 9 |
ny=45; |
| 10 |
nz=25; |
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% Nominal depth of model (meters) |
| 12 |
H=3600.0; |
| 13 |
% Size of domain |
| 14 |
Ly=600.0e3; |
| 15 |
%Lx=500.0e3; |
| 16 |
Lx=2000.0e3; |
| 17 |
|
| 18 |
% Horizontal resolution (m) |
| 19 |
|
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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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|
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dy=zeros(ny,1); |
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%for i=1:ny |
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%dy(i) = Ly/(ny); |
| 28 |
%end |
| 29 |
|
| 30 |
% y-resolution ramps from 10km to 40km in southern basin: |
| 31 |
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); |
| 34 |
|
| 35 |
yg = 0; ii = 1; dely = dy(1); |
| 36 |
while yg(ii)<=max(y)-dely, |
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dely = interp1(y,dy,yg(ii)); |
| 38 |
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); |
| 42 |
|
| 43 |
%plot(yg,mean(dy),'b+'); hold on; |
| 44 |
%plot(0.5*(yg(1:end-1)+yg(2:end)),diff(yg),'rx-'); |
| 45 |
%plot(y,dy,'c.-'); grid on |
| 46 |
%pause |
| 47 |
dy = fliplr(diff(yg)*1e3); |
| 48 |
|
| 49 |
dz=zeros(nz,1); |
| 50 |
for i=1:nz |
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dz(i)=H/nz; |
| 52 |
end |
| 53 |
%sprintf('delZ = %d * %7.6g,',nz,dz) |
| 54 |
|
| 55 |
z=zeros(nz,1); |
| 56 |
z(1) = -dz(1)/2.0; |
| 57 |
for i=2:nz |
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z(i)=z(i-1) - dz(i); |
| 59 |
end |
| 60 |
|
| 61 |
% Stratification |
| 62 |
gravity=9.81; |
| 63 |
talpha=2.0e-4; |
| 64 |
rho0=1030.0; |
| 65 |
rhotop=1030.0; |
| 66 |
%rhobot=1030.0; |
| 67 |
rhobot=1032.0; |
| 68 |
|
| 69 |
%gravity=10; |
| 70 |
%talpha=1.0e-4; |
| 71 |
%rho0=1000.0; |
| 72 |
%rhotop=1000.0; |
| 73 |
%rhobot=1000.0; |
| 74 |
N2=((rhobot-rhotop)/H)/rho0*gravity |
| 75 |
Tz=N2/(gravity*talpha) ; |
| 76 |
|
| 77 |
% Temperature profile. tRef is a single reference temperature, Tbg is |
| 78 |
% a background profile, t is a three-dimensional initial stratification. |
| 79 |
tRef = 0; |
| 80 |
%Tref=Tz*(z+H) + (rhobot-rho0)/(rho0*talpha) + 1.0; |
| 81 |
%Tref=Tz*(z+H) + (rhobot-rho0)/(rho0*talpha) |
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Tbg =Tz*(z+H) - (rhobot-rho0)/(rho0*talpha) + tRef; |
| 83 |
[sprintf('Tref =') sprintf(' %8.6g,',Tbg)] |
| 84 |
%t=0.00001*rand([nx,ny,nz]); |
| 85 |
t=0*rand([nx,ny,nz]); |
| 86 |
for k=1:nz |
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t(:,:,k) = t(:,:,k) + Tbg(k); |
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end |
| 89 |
fid=fopen('T.init','w',ieee); fwrite(fid,t,prec); fclose(fid); |
| 90 |
|
| 91 |
% this could be done more elegantly... |
| 92 |
x=zeros(nx,1); |
| 93 |
x(1) = 0.5*dx(1); % center of grid cell |
| 94 |
for i=2:nx |
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x(i)=x(i-1) + 0.5*dx(i-1) + 0.5*dx(i); |
| 96 |
end |
| 97 |
|
| 98 |
y=zeros(ny,1); |
| 99 |
y(1) = dy(1); % north edge of grid cell |
| 100 |
for i=2:ny |
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y(i) = y(i-1) + dy(i); |
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end |
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|
| 104 |
% Linear slope and embayment |
| 105 |
slope = 0.01; |
| 106 |
%slope = 0.005; |
| 107 |
lembay=50.0e3; % length of embayment |
| 108 |
eastwall = 1; % make a wall on the eastern boundary |
| 109 |
westwall = 0; % make a wall on the western boundary |
| 110 |
|
| 111 |
% These three parameters should match with Width, Dmax and Xcenter |
| 112 |
% (respectively) in data.obcs or else funny stuff will happen... |
| 113 |
wembay=100.0e3; % width of embayment |
| 114 |
dembay=600.0; % depth of embayment |
| 115 |
embay_ctr=1700.0e3; % x-coordinate of embayment center |
| 116 |
|
| 117 |
%xembay=Lx-150.0e3-wembay; %x location of start of embayment |
| 118 |
xembay=embay_ctr-wembay/2; |
| 119 |
d=0.0*rand([nx,ny]); |
| 120 |
for i=1:nx |
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d(:,1) = 0.0; |
| 122 |
for j=2:ny |
| 123 |
yneg=Ly-y(j); |
| 124 |
if yneg < lembay |
| 125 |
if x(i) > xembay |
| 126 |
if x(i) < xembay+wembay |
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d(i,j) = -dembay; |
| 128 |
else |
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d(i,j) = 0.0; |
| 130 |
end |
| 131 |
else |
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d(i,j) = 0.0; |
| 133 |
end |
| 134 |
else |
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d(i,j) = -slope*(yneg - lembay) - dembay; |
| 136 |
end |
| 137 |
if d(i,j) < -H |
| 138 |
d(i,j) = -H; |
| 139 |
end |
| 140 |
end |
| 141 |
end |
| 142 |
if eastwall |
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d(nx,:) = 0.0; % east wall |
| 144 |
end |
| 145 |
if westwall |
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d(1,:) = 0.0; % west wall |
| 147 |
end |
| 148 |
fid=fopen('topog.slope','w',ieee); fwrite(fid,d,prec); fclose(fid); |
| 149 |
hold off; |
| 150 |
plot(x,d(:,2),'.-'); grid on |
| 151 |
%plot(y,d(2,:),'.-'); grid on |
| 152 |
|
| 153 |
%fid=fopen('delXvar','w',ieee); fwrite(fid,dx,prec); fclose(fid); |
| 154 |
fid=fopen('delYvar','w',ieee); fwrite(fid,dy,prec); fclose(fid); |
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