dome/input/gendata.m

00816bc2b8 Alis*0001 % This is a matlab script that generates the input data
                0002 % variable x resolution
                0003 prec='real*8';
                0004 ieee='b';
                0005
                0006 % Dimensions of grid
                0007 %nx=50;
                0008 nx=200;
                0009 ny=45;
                0010 nz=25;
                0011 % Nominal depth of model (meters)
                0012 H=3600.0;
                0013 % Size of domain
                0014 Ly=600.0e3;
                0015 %Lx=500.0e3;
                0016 Lx=2000.0e3;
                0017
                0018 % Horizontal resolution (m)
                0019
                0020 dx=zeros(nx,1);
                0021 for i=1:nx
                0022 dx(i) = Lx/(nx);
                0023 end
                0024
                0025 dy=zeros(ny,1);
                0026 %for i=1:ny
                0027 %dy(i) = Ly/(ny);
                0028 %end
                0029
                0030 % y-resolution ramps from 10km to 40km in southern basin:
                0031 y = [0:600];
                0032 y0 = 420; yw = 40; r1 = 10; r2 = 40;
                0033 dy = (r1+r2)/2 - (r1-r2)/2*tanh((y-y0)/yw);
                0034
                0035 yg = 0; ii = 1; dely = dy(1);
                0036 while yg(ii)<=max(y)-dely,
                0037   dely = interp1(y,dy,yg(ii));
                0038   yg(ii+1) = yg(ii) + dely;
                0039   ii = ii+1;
                0040 end
                0041 yg(ii) = max(y);
                0042
                0043 %plot(yg,mean(dy),'b+'); hold on;
                0044 %plot(0.5*(yg(1:end-1)+yg(2:end)),diff(yg),'rx-');
                0045 %plot(y,dy,'c.-'); grid on
                0046 %pause
                0047 dy = fliplr(diff(yg)*1e3);
                0048
                0049 dz=zeros(nz,1);
                0050 for i=1:nz
                0051 dz(i)=H/nz;
                0052 end
                0053 %sprintf('delZ = %d * %7.6g,',nz,dz)
                0054
                0055 z=zeros(nz,1);
                0056 z(1) = -dz(1)/2.0;
                0057 for i=2:nz
                0058 z(i)=z(i-1) - dz(i);
                0059 end
                0060
                0061 % Stratification
                0062 gravity=9.81;
                0063 talpha=2.0e-4;
                0064 rho0=1030.0;
                0065 rhotop=1030.0;
                0066 %rhobot=1030.0;
                0067 rhobot=1032.0;
                0068
                0069 %gravity=10;
                0070 %talpha=1.0e-4;
                0071 %rho0=1000.0;
                0072 %rhotop=1000.0;
                0073 %rhobot=1000.0;
                0074 N2=((rhobot-rhotop)/H)/rho0*gravity
                0075 Tz=N2/(gravity*talpha) ;
                0076
                0077 % Temperature profile. tRef is a single reference temperature, Tbg is
                0078 % a background profile, t is a three-dimensional initial stratification.
                0079 tRef = 0;
                0080 %Tref=Tz*(z+H) + (rhobot-rho0)/(rho0*talpha) + 1.0;
                0081 %Tref=Tz*(z+H) + (rhobot-rho0)/(rho0*talpha)
                0082 Tbg =Tz*(z+H) - (rhobot-rho0)/(rho0*talpha) + tRef;
                0083 [sprintf('Tref =') sprintf(' %8.6g,',Tbg)]
                0084 %t=0.00001*rand([nx,ny,nz]);
                0085 t=0*rand([nx,ny,nz]);
                0086 for k=1:nz
                0087 t(:,:,k) = t(:,:,k) + Tbg(k);
                0088 end
                0089 fid=fopen('T.init','w',ieee); fwrite(fid,t,prec); fclose(fid);
                0090
                0091 % this could be done more elegantly...
                0092 x=zeros(nx,1);
                0093 x(1) = 0.5*dx(1); % center of grid cell
                0094 for i=2:nx
                0095 x(i)=x(i-1) + 0.5*dx(i-1) + 0.5*dx(i);
                0096 end
                0097
                0098 y=zeros(ny,1);
                0099 y(1) = dy(1); % north edge of grid cell
                0100 for i=2:ny
                0101 y(i) = y(i-1) + dy(i);
                0102 end
                0103
                0104 % Linear slope and embayment
                0105 slope = 0.01;
                0106 %slope = 0.005;
                0107 lembay=50.0e3; % length of embayment
                0108 eastwall = 1; % make a wall on the eastern boundary
                0109 westwall = 0; % make a wall on the western boundary
                0110
                0111 % These three parameters should match with Width, Dmax and Xcenter
                0112 % (respectively) in data.obcs or else funny stuff will happen...
                0113 wembay=100.0e3; % width of embayment
                0114 dembay=600.0; % depth of embayment
                0115 embay_ctr=1700.0e3; % x-coordinate of embayment center
                0116
                0117 %xembay=Lx-150.0e3-wembay; %x location of start of embayment
                0118 xembay=embay_ctr-wembay/2;
                0119 d=0.0*rand([nx,ny]);
                0120 for i=1:nx
                0121 d(:,1) = 0.0;
                0122 for j=2:ny
                0123 yneg=Ly-y(j);
                0124 if yneg < lembay
                0125 if x(i) > xembay
                0126 if x(i) < xembay+wembay
                0127 d(i,j) = -dembay;
                0128 else
                0129 d(i,j) = 0.0;
                0130 end
                0131 else
                0132 d(i,j) = 0.0;
                0133 end
                0134 else
                0135 d(i,j) = -slope*(yneg - lembay) - dembay;
                0136 end
                0137 if d(i,j) < -H
                0138 d(i,j) = -H;
                0139 end
                0140 end
                0141 end
                0142 if eastwall
                0143   d(nx,:) = 0.0; % east wall
                0144 end
                0145 if westwall
                0146   d(1,:) = 0.0; % west wall
                0147 end
                0148 fid=fopen('topog.slope','w',ieee); fwrite(fid,d,prec); fclose(fid);
                0149 hold off;
                0150 plot(x,d(:,2),'.-'); grid on
                0151 %plot(y,d(2,:),'.-'); grid on
                0152
                0153 %fid=fopen('delXvar','w',ieee); fwrite(fid,dx,prec); fclose(fid);
                0154 fid=fopen('delYvar','w',ieee); fwrite(fid,dy,prec); fclose(fid);