2D_example/input/gendata.m

% This is a matlab script that generates the input data

% the configuation approximately the ISOMIP experiment no. 1
% require matlab functions for equation of state

% Dimensions of grid
nx=200; 
ny=1;
nz=100;
deltaZ = 5;

eos = 'jmd95z';

acc = 'real*8';

% Nominal depth of model (meters)
H = -500;

  bathy = ones(nx,ny)*H;
% bathy(end,:) = 0;
% fid=fopen('bathy.box','w','b'); fwrite(fid,bathy,acc);fclose(fid);

dz = deltaZ*ones(1,nz);
zgp1 = [0,cumsum(dz)];
zc = .5*(zgp1(1:end-1)+zgp1(2:end));
zg = zgp1(1:end-1);
dz = diff(zgp1);
sprintf('delZ = %d * %7.6g,',nz,dz)

% Gravity
gravity=9.81;
rhoConst = 1030;
% compute potential field underneath ice shelf
talpha = 2e-4;
sbeta  = 7.4e-4;
tref = -1.9*ones(nz,1);
t    = tref;
sref = 34*ones(nz,1);
s    = sref;
gravity = 9.81;
k=1;
dzm = abs([zg(1)-zc(1) .5*diff(zc)]);
dzp = abs([.5*diff(zc) zc(end)-zg(end)]);
p = abs(zc)*gravity*rhoConst*1e-4;
dp = p;
kp = 0;
while std(dp) > 1e-13
  phiHydF(k) = 0;
  p0 = p;
  kp = kp+1
  for k = 1:nz
    switch eos
     case 'linear'
      drho = rhoConst*(1-talpha*(t(k)-tref(k))+sbeta*(s(k)-sref(k)))-rhoConst;
     case 'jmd95z'
      drho = densjmd95(s(k),t(k),p(k))-rhoConst;
     case 'mdjwf'
      drho = densmdjwf(s(k),t(k),p(k))-rhoConst;
     otherwise
      error(sprintf('unknown EOS: %s',eos))
    end
    phiHydC(k)   = phiHydF(k) + dzm(k)*gravity*drho/rhoConst;
    phiHydF(k+1) = phiHydC(k) + dzp(k)*gravity*drho/rhoConst;
  end
  switch eos
   case 'mdjwf'
    p = (gravity*rhoConst*abs(zc) + phiHydC*rhoConst)/gravity/rhoConst;
  end
  dp = p-p0;
end

icetopo = zeros(nx,ny);
icetopo(end,:) = -495;
fid=fopen('icetopo.exp1','w','b'); fwrite(fid,icetopo,acc);fclose(fid);
fid=fopen('pload.exp1','w','b'); fwrite(fid,-icetopo,acc);fclose(fid);
phi0surf = zeros(nx,ny);
for ix=1:nx
  for iy=1:ny
    k=max(find(abs(zg)<abs(icetopo(ix,iy))));
    if isempty(k)
      k=0;
    end
    if k>0
      phi0surf(ix,iy) = phiHydF(k)*rhoConst;
    end
  end
end
fid=fopen(['phi0surf.exp1.' eos],'w','b'); fwrite(fid,phi0surf,acc);fclose(fid);

1	yunx	1.1	% This is a matlab script that generates the input data
2
3			% the configuation approximately the ISOMIP experiment no. 1
4			% require matlab functions for equation of state
5
6			% Dimensions of grid
7			nx=200;
8			ny=1;
9			nz=100;
10			deltaZ = 5;
11
12			eos = 'jmd95z';
13
14			acc = 'real*8';
15
16			% Nominal depth of model (meters)
17			H = -500;
18
19			bathy = ones(nx,ny)*H;
20			% bathy(end,:) = 0;
21			% fid=fopen('bathy.box','w','b'); fwrite(fid,bathy,acc);fclose(fid);
22
23			dz = deltaZ*ones(1,nz);
24			zgp1 = [0,cumsum(dz)];
25			zc = .5*(zgp1(1:end-1)+zgp1(2:end));
26			zg = zgp1(1:end-1);
27			dz = diff(zgp1);
28			sprintf('delZ = %d * %7.6g,',nz,dz)
29
30			% Gravity
31			gravity=9.81;
32			rhoConst = 1030;
33			% compute potential field underneath ice shelf
34			talpha = 2e-4;
35			sbeta = 7.4e-4;
36			tref = -1.9*ones(nz,1);
37			t = tref;
38			sref = 34*ones(nz,1);
39			s = sref;
40			gravity = 9.81;
41			k=1;
42			dzm = abs([zg(1)-zc(1) .5*diff(zc)]);
43			dzp = abs([.5*diff(zc) zc(end)-zg(end)]);
44			p = abs(zc)gravityrhoConst*1e-4;
45			dp = p;
46			kp = 0;
47			while std(dp) > 1e-13
48			phiHydF(k) = 0;
49			p0 = p;
50			kp = kp+1
51			for k = 1:nz
52			switch eos
53			case 'linear'
54			drho = rhoConst(1-talpha(t(k)-tref(k))+sbeta*(s(k)-sref(k)))-rhoConst;
55			case 'jmd95z'
56			drho = densjmd95(s(k),t(k),p(k))-rhoConst;
57			case 'mdjwf'
58			drho = densmdjwf(s(k),t(k),p(k))-rhoConst;
59			otherwise
60			error(sprintf('unknown EOS: %s',eos))
61			end
62			phiHydC(k) = phiHydF(k) + dzm(k)gravitydrho/rhoConst;
63			phiHydF(k+1) = phiHydC(k) + dzp(k)gravitydrho/rhoConst;
64			end
65			switch eos
66			case 'mdjwf'
67			p = (gravityrhoConstabs(zc) + phiHydC*rhoConst)/gravity/rhoConst;
68			end
69			dp = p-p0;
70			end
71
72			icetopo = zeros(nx,ny);
73			icetopo(end,:) = -495;
74			fid=fopen('icetopo.exp1','w','b'); fwrite(fid,icetopo,acc);fclose(fid);
75			fid=fopen('pload.exp1','w','b'); fwrite(fid,-icetopo,acc);fclose(fid);
76			phi0surf = zeros(nx,ny);
77			for ix=1:nx
78			for iy=1:ny
79			k=max(find(abs(zg)<abs(icetopo(ix,iy))));
80			if isempty(k)
81			k=0;
82			end
83			if k>0
84			phi0surf(ix,iy) = phiHydF(k)*rhoConst;
85			end
86			end
87			end
88			fid=fopen(['phi0surf.exp1.' eos],'w','b'); fwrite(fid,phi0surf,acc);fclose(fid);
89