MANUAL/input/gendata_vero.m

%Verion of gendata.m modified by Vero
%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=1; 
ny=200;
nz=100;
delz = 10;

hfacMin = 0.2;

dlat = 0.125/16; dy=dlat;
dlon = 0.125/4; dx=dlon;

%eos = 'linear';
eos = 'jmd95z';
% eos = 'mdjwf';

acc = 'real*8';

long = [-105.5:dlon:-105.5];
lonc = long+dlon/2;
latg = [-75.4457:dlat:-73.8809-dlat];
latc = latg+dlat/2;
size(latc)

% Nominal depth of model (meters)
H = -1000;                                      %water depth in the ice shelf cavity
Hmin = -900; % deepest point of cavern          
Hmax = -300; % shallowest point of cavern
dHdy = (Hmax-Hmin)/(max(latc)-min(latc));                               %Slope of ice shelf: if denominator = nx, shelf will cover the whole domain

bathy = ones(nx,ny)*H;                          %For flat bathymetry: bathy = ones(nx,ny)*H;
%bathy(1,:) = 0;
%bathy(2,:) = 0;
%bathy(nx,:) = 0; 
%bathy(nx-1,:) = 0; 
bathy(:,1) = 0;
%bathy(:,ny) = 0;
fid=fopen('bathymetry.pig.bin','w','b'); fwrite(fid,bathy,acc);fclose(fid);


dz = delz*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)


T_sfc = -1.9;
T_bottom = 2;
del_T = (T_bottom - T_sfc)/(59*delz);

for iz = 1:nz;
    
    
    tref(iz) = T_sfc + del_T*((iz-30)*delz); 
    if iz<=30;
        tref(iz)=-1.9;
    end
    if iz>=90
        tref(iz) =2;
    end
end

S_sfc = 34.2;
S_bottom = 34.7;
del_S = (S_bottom - S_sfc)/(59*delz);

for iz = 1:nz;
    
    
    sref(iz) = S_sfc + del_S*((iz-30)*delz); 
    if iz<=30;
        sref(iz)=34.2;
    end
    if iz>=90
        sref(iz) =34.7;
    end
end

% 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 = 34.4*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 rms(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


%Modify icetopo (shape of ice shelf cavity)

%icetopo = ones(ny,1)*min(Hmin + 2*dHdy*(lonc(nx)-long),Hmax); 
B=min(Hmin + 2*dHdy*(latc(ny)-latg),Hmax);
B=fliplr(B);

icetopo = ones(nx,1)*B; 
%icetopo = icetopo';
icetopo(:,101:end)=0;


% adjust topo so that no hfac is smaller than hfacMin

for ix=1:nx
  for iy=1:ny
    k=max(find(abs(zg)<abs(icetopo(ix,iy))));
    
    if(~isempty(k))


    hfacTemp = (icetopo(ix,iy) - (-zg(k+1)))/delz;
    
    if (hfacTemp < hfacMin)
        if (hfacTemp < hfacMin/2)
            hfacTemp = 0;
        else
            hfacTemp = hfacMin;
        end
    end
    
    else
        
        hfacTemp = 0;
        
    end
    
    icetopo(ix,iy) = icetopo(ix,iy) + hfacTemp;
    
  end
end

% phi anomaly (relative to hydrostatic with rho_const) at icetopo

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
      
      dr = -zg(k) - icetopo(ix,iy);
      
      if (dr>=delz/2)
          phi0surf(ix,iy) = phiHydF(k) + (delz-dr) * (phiHydC(k)-phiHydF(k))/(delz/2);
      else
          phi0surf(ix,iy) = phiHydC(k) + (delz/2-dr) * (phiHydF(k+1)-phiHydC(k))/(delz/2);
      end
      
    end
  end
end

mass = phi0surf / gravity - rhoConst * icetopo;

fid = fopen('shelftopo.pig.bin','w','b'); fwrite(fid,icetopo,'real*8'); fclose(fid);
fid = fopen('shelficemassinit.bin','w','b'); fwrite(fid,mass,'real*8'); fclose(fid);
fid = fopen('pload.pig.jmd95z','w','b'); fwrite(fid,phi0surf,'real*8'); fclose(fid);

etainit = zeros(size(phi0surf));

% new topography: icetopo rounded to the nearest k * deltaZ
%                 eta_init set to make difference

icetopo2 = icetopo;

for ix=1:nx
  for iy=1:ny
    k=max(find(abs(zg)<abs(icetopo2(ix,iy))));
    if isempty(k)
      k=0;
    else
      
      dr = 1-(-zg(k) - icetopo2(ix,iy))/delz;
      if (dr > .5)
          % bring Ro_surf *up* to closest grid face & make etainit negative
          % to compensate
          icetopo2(ix,iy) = -zg(k);
          etainit(ix,iy) = (dr-1)*delz;
      else
          % bring Ro_surf *down* to closest grid face & make etainit pos
          % to compensate
          icetopo2(ix,iy) = -zg(k+1);
          etainit(ix,iy) = (dr)*delz;
      end
       
    end
  end
end

fid = fopen('shelftopo.round.bin','w','b'); fwrite(fid,icetopo2,'real*8'); fclose(fid);
fid = fopen('etainit.round.bin','w','b'); fwrite(fid,etainit,'real*8'); fclose(fid);
1	dgoldberg	1.1	%Verion of gendata.m modified by Vero
2			%This is a matlab script that generates the input data
3
4
5			% the configuation approximately the ISOMIP experiment no. 1
6			% require matlab functions for equation of state
7
8
9			% Dimensions of grid
10			nx=1;
11			ny=200;
12			nz=100;
13			delz = 10;
14
15			hfacMin = 0.2;
16
17			dlat = 0.125/16; dy=dlat;
18			dlon = 0.125/4; dx=dlon;
19
20			%eos = 'linear';
21			eos = 'jmd95z';
22			% eos = 'mdjwf';
23
24			acc = 'real*8';
25
26			long = [-105.5:dlon:-105.5];
27			lonc = long+dlon/2;
28			latg = [-75.4457:dlat:-73.8809-dlat];
29			latc = latg+dlat/2;
30			size(latc)
31
32			% Nominal depth of model (meters)
33			H = -1000; %water depth in the ice shelf cavity
34			Hmin = -900; % deepest point of cavern
35			Hmax = -300; % shallowest point of cavern
36			dHdy = (Hmax-Hmin)/(max(latc)-min(latc)); %Slope of ice shelf: if denominator = nx, shelf will cover the whole domain
37
38			bathy = ones(nx,ny)H; %For flat bathymetry: bathy = ones(nx,ny)H;
39			%bathy(1,:) = 0;
40			%bathy(2,:) = 0;
41			%bathy(nx,:) = 0;
42			%bathy(nx-1,:) = 0;
43			bathy(:,1) = 0;
44			%bathy(:,ny) = 0;
45			fid=fopen('bathymetry.pig.bin','w','b'); fwrite(fid,bathy,acc);fclose(fid);
46
47
48			dz = delz*ones(1,nz);
49			zgp1 = [0,cumsum(dz)];
50			zc = .5*(zgp1(1:end-1)+zgp1(2:end));
51			zg = zgp1(1:end-1);
52			dz = diff(zgp1);
53			sprintf('delZ = %d * %7.6g,',nz,dz)
54
55
56			T_sfc = -1.9;
57			T_bottom = 2;
58			del_T = (T_bottom - T_sfc)/(59*delz);
59
60			for iz = 1:nz;
61
62
63			tref(iz) = T_sfc + del_T((iz-30)delz);
64			if iz<=30;
65			tref(iz)=-1.9;
66			end
67			if iz>=90
68			tref(iz) =2;
69			end
70			end
71
72			S_sfc = 34.2;
73			S_bottom = 34.7;
74			del_S = (S_bottom - S_sfc)/(59*delz);
75
76			for iz = 1:nz;
77
78
79			sref(iz) = S_sfc + del_S((iz-30)delz);
80			if iz<=30;
81			sref(iz)=34.2;
82			end
83			if iz>=90
84			sref(iz) =34.7;
85			end
86			end
87
88			% Gravity
89			gravity=9.81;
90			rhoConst = 1030;
91			% compute potential field underneath ice shelf
92			talpha = 2e-4;
93			sbeta = 7.4e-4;
94			% tref = -1.9*ones(nz,1);
95			t = tref;
96			% sref = 34.4*ones(nz,1);
97			s = sref;
98			gravity = 9.81;
99			k=1;
100			dzm = abs([zg(1)-zc(1) .5*diff(zc)]);
101			dzp = abs([.5*diff(zc) zc(end)-zg(end)]);
102			p = abs(zc)gravityrhoConst*1e-4;
103			dp = p;
104			kp = 0;
105
106
107
108			while rms(dp) > 1e-13
109			phiHydF(k) = 0;
110			p0 = p;
111			kp = kp+1
112			for k = 1:nz
113			switch eos
114			case 'linear'
115			drho = rhoConst(1-talpha(t(k)-tref(k))+sbeta*(s(k)-sref(k)))-rhoConst;
116			case 'jmd95z'
117			drho = densjmd95(s(k),t(k),p(k))-rhoConst;
118			case 'mdjwf'
119			drho = densmdjwf(s(k),t(k),p(k))-rhoConst;
120			otherwise
121			error(sprintf('unknown EOS: %s',eos))
122			end
123			phiHydC(k) = phiHydF(k) + dzm(k)gravitydrho/rhoConst;
124			phiHydF(k+1) = phiHydC(k) + dzp(k)gravitydrho/rhoConst;
125			end
126			switch eos
127			case 'mdjwf'
128			p = (gravityrhoConstabs(zc) + phiHydC*rhoConst)/gravity/rhoConst;
129			end
130			dp = p-p0;
131			end
132
133
134			%Modify icetopo (shape of ice shelf cavity)
135
136			%icetopo = ones(ny,1)min(Hmin + 2dHdy*(lonc(nx)-long),Hmax);
137			B=min(Hmin + 2dHdy(latc(ny)-latg),Hmax);
138			B=fliplr(B);
139
140			icetopo = ones(nx,1)*B;
141			%icetopo = icetopo';
142			icetopo(:,101:end)=0;
143
144
145
146
147			% adjust topo so that no hfac is smaller than hfacMin
148
149			for ix=1:nx
150			for iy=1:ny
151			k=max(find(abs(zg)<abs(icetopo(ix,iy))));
152
153			if(~isempty(k))
154
155
156			hfacTemp = (icetopo(ix,iy) - (-zg(k+1)))/delz;
157
158			if (hfacTemp < hfacMin)
159			if (hfacTemp < hfacMin/2)
160			hfacTemp = 0;
161			else
162			hfacTemp = hfacMin;
163			end
164			end
165
166			else
167
168			hfacTemp = 0;
169
170			end
171
172			icetopo(ix,iy) = icetopo(ix,iy) + hfacTemp;
173
174			end
175			end
176
177			% phi anomaly (relative to hydrostatic with rho_const) at icetopo
178
179			phi0surf = zeros(nx,ny);
180
181			for ix=1:nx
182			for iy=1:ny
183			k=max(find(abs(zg)<abs(icetopo(ix,iy))));
184			if isempty(k)
185			k=0;
186			end
187			if k>0
188
189			dr = -zg(k) - icetopo(ix,iy);
190
191			if (dr>=delz/2)
192			phi0surf(ix,iy) = phiHydF(k) + (delz-dr) * (phiHydC(k)-phiHydF(k))/(delz/2);
193			else
194			phi0surf(ix,iy) = phiHydC(k) + (delz/2-dr) * (phiHydF(k+1)-phiHydC(k))/(delz/2);
195			end
196
197			end
198			end
199			end
200
201			mass = phi0surf / gravity - rhoConst * icetopo;
202
203			fid = fopen('shelftopo.pig.bin','w','b'); fwrite(fid,icetopo,'real*8'); fclose(fid);
204			fid = fopen('shelficemassinit.bin','w','b'); fwrite(fid,mass,'real*8'); fclose(fid);
205			fid = fopen('pload.pig.jmd95z','w','b'); fwrite(fid,phi0surf,'real*8'); fclose(fid);
206
207			etainit = zeros(size(phi0surf));
208
209			% new topography: icetopo rounded to the nearest k * deltaZ
210			% eta_init set to make difference
211
212			icetopo2 = icetopo;
213
214			for ix=1:nx
215			for iy=1:ny
216			k=max(find(abs(zg)<abs(icetopo2(ix,iy))));
217			if isempty(k)
218			k=0;
219			else
220
221			dr = 1-(-zg(k) - icetopo2(ix,iy))/delz;
222			if (dr > .5)
223			% bring Ro_surf up to closest grid face & make etainit negative
224			% to compensate
225			icetopo2(ix,iy) = -zg(k);
226			etainit(ix,iy) = (dr-1)*delz;
227			else
228			% bring Ro_surf down to closest grid face & make etainit pos
229			% to compensate
230			icetopo2(ix,iy) = -zg(k+1);
231			etainit(ix,iy) = (dr)*delz;
232			end
233
234			end
235			end
236			end
237
238			fid = fopen('shelftopo.round.bin','w','b'); fwrite(fid,icetopo2,'real*8'); fclose(fid);
239			fid = fopen('etainit.round.bin','w','b'); fwrite(fid,etainit,'real*8'); fclose(fid);