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cal_gateway_flux_UKESM1_0_LL.m
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cal_gateway_flux_UKESM1_0_LL.m
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S_ref = 34.8;
T_ref = 0;
dname = '/home/swang/Data/grid_and_mask/areacello_cmip6/';
fname = 'areacello_Ofx_UKESM1-0-LL_piControl_r1i1p1f2_gn.nc';
lat_bnds = ncread([dname,fname],'vertices_latitude');
lon_bnds = ncread([dname,fname],'vertices_longitude');
dir_root = '/media/swang/CMIP6_5/';
mdl_name = 'UKESM1-0-LL';
dir_mdl = [dir_root,mdl_name,'/'];
fsec = '~/Data/grid_and_mask/areacello_cmip6/UKESM1-0-LL_sections.mat';
load(fsec);
scenario_list = {'historical','ssp126','ssp245','ssp370','ssp585'};
ensemble_list = {'r1i1p1f2'};
year_s = 1950;
year_e = 2100;
% year_e = 2100;
rEarth = 12735000/2.0;% m
for iensem=1:length(ensemble_list)
for iscenario=1:length(scenario_list)
for iyear=year_s:year_e
if (iyear<=2014 & ~strcmp(char(scenario_list(iscenario)),'historical')) continue;end;
if (iyear>2014 & strcmp(char(scenario_list(iscenario)),'historical')) continue;end;
disp('___Calculating Section tranport__________________');
disp(['___',char(scenario_list(iscenario)),' : ',num2str(iyear)]);
fu = ['uo_Omon_',mdl_name,'_',char(scenario_list(iscenario)),'_',char(ensemble_list(iensem)),'_*_',num2str(iyear),'.nc'];
fv = ['vo_Omon_',mdl_name,'_',char(scenario_list(iscenario)),'_',char(ensemble_list(iensem)),'_*_',num2str(iyear),'.nc'];
fs = ['so_Omon_',mdl_name,'_',char(scenario_list(iscenario)),'_',char(ensemble_list(iensem)),'_*_',num2str(iyear),'.nc'];
ft = ['thetao_Omon_',mdl_name,'_',char(scenario_list(iscenario)),'_',char(ensemble_list(iensem)),'_*_',num2str(iyear),'.nc'];
aa = dir([dir_mdl,fu]);
fu = [dir_mdl,'/',aa.name];
aa = dir([dir_mdl,fv]);
fv = [dir_mdl,'/',aa.name];
aa = dir([dir_mdl,fs]);
fs = [dir_mdl,'/',aa.name];
aa = dir([dir_mdl,ft]);
ft = [dir_mdl,'/',aa.name];
dep = ncread(fu,'lev');
dep_bnds = ncread(fu,'lev_bnds');
dz = dep_bnds(2,:) - dep_bnds(1,:);
u3d = ncread(fu,'uo');
v3d = ncread(fv,'vo');
s3d = ncread(fs,'so');
t3d = ncread(ft,'thetao');
u3d = mean(u3d,4);
v3d = mean(v3d,4);
s3d = mean(s3d,4);
t3d = mean(t3d,4);
u3d = reshape(u3d,[],length(dep));
v3d = reshape(v3d,[],length(dep));
s3d = reshape(s3d,[],length(dep));
t3d = reshape(t3d,[],length(dep));
%% Fram Strait
u2d = u3d(Fram_strait,:);
v2d = v3d(Fram_strait,:);
s2d = s3d(Fram_strait,:);
t2d = t3d(Fram_strait,:);
vol_fram = zeros(3,1);
fw_fram = zeros(3,1);
ht_fram = zeros(3,1);
s_fram = 0;
t_fram = 0;
dx = [];
for inod = 1:length(Fram_strait)
nod_lons = lon_bnds(:,Fram_strait(inod));
nod_lats = lat_bnds(:,Fram_strait(inod));
lon1 = nod_lons(1); lat1 = nod_lats(1);
lon2 = nod_lons(2); lat2 = nod_lats(2);
dx = [dx rEarth*acos(cosd(lat1)*cosd(lat2)*cosd(lon1-lon2)+sind(lat1)*sind(lat2))];
end
dx = dx';
dxx = repmat(dx,1,length(dep));
dzz = repmat(dz,length(Fram_strait),1);
dA = dxx.*dzz;
loc1 = find(v2d>0);
loc2 = find(v2d<0);
% s_fram(1,1) = nansum(nansum(s2d.*dA))/nansum(nansum(dA));% net
% s_fram(2,1) = nansum(nansum(s2d(loc1).*dA(loc1)))/nansum(nansum(dA(loc1)));% in
% s_fram(3,1) = nansum(nansum(s2d(loc2).*dA(loc2)))/nansum(nansum(dA(loc2)));% out
% t_fram(1,1) = nansum(nansum(t2d.*dA))/nansum(nansum(dA));% net
% t_fram(2,1) = nansum(nansum(t2d(loc1).*dA(loc1)))/nansum(nansum(dA(loc1)));% in
% t_fram(3,1) = nansum(nansum(t2d(loc2).*dA(loc2)))/nansum(nansum(dA(loc2)));% out
s_fram = nansum(nansum(s2d.*dA))/nansum(nansum(dA(~isnan(s2d))));% net
t_fram = nansum(nansum(t2d.*dA))/nansum(nansum(dA(~isnan(s2d))));% net
vol_fram(1,1) = nansum(nansum(v2d.*dA));% net
vol_fram(2,1) = nansum(nansum(v2d(loc1).*dA(loc1)));% in
vol_fram(3,1) = nansum(nansum(v2d(loc2).*dA(loc2)));% out
fw_fram(1,1) = nansum(nansum(v2d.*dA.*(S_ref-s2d)/S_ref));% net
fw_fram(2,1) = nansum(nansum(v2d(loc1).*dA(loc1).*(S_ref-s2d(loc1))/S_ref));%
fw_fram(3,1) = nansum(nansum(v2d(loc2).*dA(loc2).*(S_ref-s2d(loc2))/S_ref));%
ht_fram(1,1) = 4.2e6*nansum(nansum(v2d.*dA.*(t2d-T_ref)));%
ht_fram(2,1) = 4.2e6*nansum(nansum(v2d(loc1).*dA(loc1).*(t2d(loc1)-T_ref)));%
ht_fram(3,1) = 4.2e6*nansum(nansum(v2d(loc2).*dA(loc2).*(t2d(loc2)-T_ref)));%
%% Bering Strait
u2d = u3d(Bering_strait,:);
v2d = v3d(Bering_strait,:);
s2d = s3d(Bering_strait,:);
t2d = t3d(Bering_strait,:);
vol_bering = zeros(3,1);
fw_bering = zeros(3,1);
ht_bering = zeros(3,1);
s_bering = 0;
t_bering = 0;
dx = [];
for inod = 1:length(Bering_strait)
nod_lons = lon_bnds(:,Bering_strait(inod));
nod_lats = lat_bnds(:,Bering_strait(inod));
lon1 = nod_lons(3); lat1 = nod_lats(3);
lon2 = nod_lons(4); lat2 = nod_lats(4);
dx = [dx rEarth*acos(cosd(lat1)*cosd(lat2)*cosd(lon1-lon2)+sind(lat1)*sind(lat2))];
end
dx = dx';
dxx = repmat(dx,1,length(dep));
dzz = repmat(dz,length(Bering_strait),1);
dA = dxx.*dzz;
loc1 = find(v2d>0);
loc2 = find(v2d<0);
% s_bering(1,1) = nansum(nansum(s2d.*dA))/nansum(nansum(dA));% net
% s_bering(2,1) = nansum(nansum(s2d(loc1).*dA(loc1)))/nansum(nansum(dA(loc1)));% in
% s_bering(3,1) = nansum(nansum(s2d(loc2).*dA(loc2)))/nansum(nansum(dA(loc2)));% out
% t_bering(1,1) = nansum(nansum(t2d.*dA))/nansum(nansum(dA));% net
% t_bering(2,1) = nansum(nansum(t2d(loc1).*dA(loc1)))/nansum(nansum(dA(loc1)));% in
% t_bering(3,1) = nansum(nansum(t2d(loc2).*dA(loc2)))/nansum(nansum(dA(loc2)));% out
s_bering = nansum(nansum(s2d.*dA))/nansum(nansum(dA(~isnan(s2d))));% net
t_bering = nansum(nansum(t2d.*dA))/nansum(nansum(dA(~isnan(s2d))));% net
vol_bering(1,1) = nansum(nansum(v2d.*dA));% net
vol_bering(2,1) = nansum(nansum(v2d(loc1).*dA(loc1)));% in
vol_bering(3,1) = nansum(nansum(v2d(loc2).*dA(loc2)));% out
fw_bering(1,1) = nansum(nansum(v2d.*dA.*(S_ref-s2d)/S_ref));%
fw_bering(2,1) = nansum(nansum(v2d(loc1).*dA(loc1).*(S_ref-s2d(loc1))/S_ref));%
fw_bering(3,1) = nansum(nansum(v2d(loc2).*dA(loc2).*(S_ref-s2d(loc2))/S_ref));%
ht_bering(1,1) = 4.2e6*nansum(nansum(v2d.*dA.*(t2d-T_ref)));%
ht_bering(2,1) = 4.2e6*nansum(nansum(v2d(loc1).*dA(loc1).*(t2d(loc1)-T_ref)));%
ht_bering(3,1) = 4.2e6*nansum(nansum(v2d(loc2).*dA(loc2).*(t2d(loc2)-T_ref)));%
%% Davis Strait
u2d = u3d(Davis_strait,:);
v2d = v3d(Davis_strait,:);
s2d = s3d(Davis_strait,:);
t2d = t3d(Davis_strait,:);
vol_davis = zeros(3,1);
fw_davis = zeros(3,1);
ht_davis = zeros(3,1);
s_davis = 0;
t_davis = 0;
dx = [];
for inod = 1:length(Davis_strait)
nod_lons = lon_bnds(:,Davis_strait(inod));
nod_lats = lat_bnds(:,Davis_strait(inod));
lon1 = nod_lons(3); lat1 = nod_lats(3);
lon2 = nod_lons(4); lat2 = nod_lats(4);
dx = [dx rEarth*acos(cosd(lat1)*cosd(lat2)*cosd(lon1-lon2)+sind(lat1)*sind(lat2))];
end
dx = dx';
dxx = repmat(dx,1,length(dep));
dzz = repmat(dz,length(Davis_strait),1);
dA = dxx.*dzz;
loc1 = find(v2d>0);
loc2 = find(v2d<0);
% s_davis(1,1) = nansum(nansum(s2d.*dA))/nansum(nansum(dA));% net
% s_davis(2,1) = nansum(nansum(s2d(loc1).*dA(loc1)))/nansum(nansum(dA(loc1)));% in
% s_davis(3,1) = nansum(nansum(s2d(loc2).*dA(loc2)))/nansum(nansum(dA(loc2)));% out
% t_davis(1,1) = nansum(nansum(t2d.*dA))/nansum(nansum(dA));% net
% t_davis(2,1) = nansum(nansum(t2d(loc1).*dA(loc1)))/nansum(nansum(dA(loc1)));% in
% t_davis(3,1) = nansum(nansum(t2d(loc2).*dA(loc2)))/nansum(nansum(dA(loc2)));% out
s_davis = nansum(nansum(s2d.*dA))/nansum(nansum(dA(~isnan(s2d))));% net
t_davis = nansum(nansum(t2d.*dA))/nansum(nansum(dA(~isnan(s2d))));% net
vol_davis(1,1) = nansum(nansum(v2d.*dA));% net
vol_davis(2,1) = nansum(nansum(v2d(loc1).*dA(loc1)));% in
vol_davis(3,1) = nansum(nansum(v2d(loc2).*dA(loc2)));% out
fw_davis(1,1) = nansum(nansum(v2d.*dA.*(S_ref-s2d)/S_ref));%
fw_davis(2,1) = nansum(nansum(v2d(loc1).*dA(loc1).*(S_ref-s2d(loc1))/S_ref));%
fw_davis(3,1) = nansum(nansum(v2d(loc2).*dA(loc2).*(S_ref-s2d(loc2))/S_ref));%
ht_davis(1,1) = 4.2e6*nansum(nansum(v2d.*dA.*(t2d-T_ref)));%
ht_davis(2,1) = 4.2e6*nansum(nansum(v2d(loc1).*dA(loc1).*(t2d(loc1)-T_ref)));%
ht_davis(3,1) = 4.2e6*nansum(nansum(v2d(loc2).*dA(loc2).*(t2d(loc2)-T_ref)));%
%% Denmark Strait
u2d = u3d(Denmark_strait,:);
v2d = v3d(Denmark_strait,:);
s2d = s3d(Denmark_strait,:);
t2d = t3d(Denmark_strait,:);
vol_denmark = zeros(3,1);
fw_denmark = zeros(3,1);
ht_denmark = zeros(3,1);
s_denmark = 0;
t_denmark = 0;
dx = []; dy = [];
for inod = 1:length(Denmark_strait)
nod_lons = lon_bnds(:,Denmark_strait(inod));
nod_lats = lat_bnds(:,Denmark_strait(inod));
lon1 = nod_lons(2); lat1 = nod_lats(2);
lon2 = nod_lons(1); lat2 = nod_lats(1);
dx = [dx rEarth*acos(cosd(lat1)*cosd(lat2)*cosd(lon1-lon2)+sind(lat1)*sind(lat2))];
lon1 = nod_lons(2); lat1 = nod_lats(2);
lon2 = nod_lons(3); lat2 = nod_lats(3);
dy = [dy rEarth*acos(cosd(lat1)*cosd(lat2)*cosd(lon1-lon2)+sind(lat1)*sind(lat2))];
end
% dy = flipud(dy');
dx = dx'; dy = dy';
dxx = repmat(dx,1,length(dep));
dyy = repmat(dy,1,length(dep));
dzz = repmat(dz,length(Denmark_strait),1);
dAx = dxx.*dzz;
dAy = dyy.*dzz;
loc1u = find(u2d>0);
loc2u = find(u2d<0);
loc1v = find(v2d>0);
loc2v = find(v2d<0);
s_denmark = nansum(nansum(s2d.*(dAx+dAy)))/nansum(nansum(dAx(~isnan(s2d))+dAy(~isnan(s2d))));% net
t_denmark = nansum(nansum(t2d.*(dAx+dAy)))/nansum(nansum(dAx(~isnan(s2d))+dAy(~isnan(s2d))));% net
vol_denmark(1,1) = nansum(nansum(u2d.*dAy+v2d.*dAx));
vol_denmark(2,1) = nansum(nansum(u2d(loc1u).*dAy(loc1u)))+nansum(nansum(v2d(loc1v).*dAx(loc1v)));
vol_denmark(3,1) = nansum(nansum(u2d(loc2u).*dAy(loc2u)))+nansum(nansum(v2d(loc2v).*dAx(loc2v)));
fw_denmark(1,1) = nansum(nansum(u2d.*dAy.*(S_ref-s2d)/S_ref))+nansum(nansum(v2d.*dAx.*(S_ref-s2d)/S_ref));%
fw_denmark(2,1) = nansum(nansum(u2d(loc1u).*dAy(loc1u).*(S_ref-s2d(loc1u))/S_ref))+nansum(nansum(v2d(loc1v).*dAx(loc1v).*(S_ref-s2d(loc1v))/S_ref));%
fw_denmark(3,1) = nansum(nansum(u2d(loc2u).*dAy(loc2u).*(S_ref-s2d(loc2u))/S_ref))+nansum(nansum(v2d(loc2v).*dAx(loc2v).*(S_ref-s2d(loc2v))/S_ref));%
ht_denmark(1,1) = 4.2e6*nansum(nansum(u2d.*dAy.*(t2d-T_ref)))+nansum(nansum(v2d.*dAx.*(t2d-T_ref)));%
ht_denmark(2,1) = 4.2e6*nansum(nansum(u2d(loc1u).*dAy(loc1u).*(t2d(loc1u)-T_ref)))+nansum(nansum(v2d(loc1v).*dAx(loc1v).*(t2d(loc1v)-T_ref)));%
ht_denmark(3,1) = 4.2e6*nansum(nansum(u2d(loc2u).*dAy(loc2u).*(t2d(loc2u)-T_ref)))+nansum(nansum(v2d(loc2v).*dAx(loc2v).*(t2d(loc2v)-T_ref)));%
% voltransp_denmark = nansum(nansum(u2d.*dA));%
%% Barents Sea Opening
u2d = u3d(Barents_opening,:);
v2d = v3d(Barents_opening,:);
s2d = s3d(Barents_opening,:);
t2d = t3d(Barents_opening,:);
vol_bso = zeros(3,1);
fw_bso = zeros(3,1);
ht_bso = zeros(3,1);
s_bso = 0;
t_bso = 0;
dx = []; dy = [];
for inod = 1:length(Barents_opening)
nod_lons = lon_bnds(:,Barents_opening(inod));
nod_lats = lat_bnds(:,Barents_opening(inod));
lon1 = nod_lons(1); lat1 = nod_lats(1);
lon2 = nod_lons(2); lat2 = nod_lats(2);
dx = [dx rEarth*acos(cosd(lat1)*cosd(lat2)*cosd(lon1-lon2)+sind(lat1)*sind(lat2))];
lon1 = nod_lons(3); lat1 = nod_lats(3);
lon2 = nod_lons(2); lat2 = nod_lats(2);
dy = [dy rEarth*acos(cosd(lat1)*cosd(lat2)*cosd(lon1-lon2)+sind(lat1)*sind(lat2))];
end
dx = dx'; dy = dy';
dxx = repmat(dx,1,length(dep));
dyy = repmat(dy,1,length(dep));
dzz = repmat(dz,length(Barents_opening),1);
dAx = dxx.*dzz;
dAy = dyy.*dzz;
% !!!!!!!!!!!!!!!!!!!!!!!!!!
% the calculation of BSO is grid dependent
% In FIO-ESM, it is BSO inflow when uo>0 or vo<0
loc1u = find(u2d>0);
loc2u = find(u2d<0);
loc1v = find(v2d>0);
loc2v = find(v2d<0);
% s_bso(1,1) = nansum(nansum(s2d.*(dAx+dAy)))/nansum(nansum(dAx+dAy));% net
% s_bso(2,1) = nansum(nansum(s2d(loc1).*dA(loc1)))/nansum(nansum(dA(loc1)));% in
% s_bso(3,1) = nansum(nansum(s2d(loc2).*dA(loc2)))/nansum(nansum(dA(loc2)));% out
% t_bso(1,1) = nansum(nansum(t2d.*dA))/nansum(nansum(dA));% net
% t_bso(2,1) = nansum(nansum(t2d(loc1).*dA(loc1)))/nansum(nansum(dA(loc1)));% in
% t_bso(3,1) = nansum(nansum(t2d(loc2).*dA(loc2)))/nansum(nansum(dA(loc2)));% out
s_bso = nansum(nansum(s2d.*(dAx+dAy)))/nansum(nansum(dAx(~isnan(s2d))+dAy(~isnan(s2d))));% net
t_bso = nansum(nansum(t2d.*(dAx+dAy)))/nansum(nansum(dAx(~isnan(s2d))+dAy(~isnan(s2d))));% net
vol_bso(1,1) = nansum(nansum(u2d.*dAy+v2d.*dAx));
vol_bso(2,1) = nansum(nansum(u2d(loc1u).*dAy(loc1u)))+nansum(nansum(v2d(loc1v).*dAx(loc1v)));
vol_bso(3,1) = nansum(nansum(u2d(loc2u).*dAy(loc2u)))+nansum(nansum(v2d(loc2v).*dAx(loc2v)));
fw_bso(1,1) = nansum(nansum(u2d.*dAy.*(S_ref-s2d)/S_ref))+nansum(nansum(v2d.*dAx.*(S_ref-s2d)/S_ref));%
fw_bso(2,1) = nansum(nansum(u2d(loc1u).*dAy(loc1u).*(S_ref-s2d(loc1u))/S_ref))+nansum(nansum(v2d(loc1v).*dAx(loc1v).*(S_ref-s2d(loc1v))/S_ref));%
fw_bso(3,1) = nansum(nansum(u2d(loc2u).*dAy(loc2u).*(S_ref-s2d(loc2u))/S_ref))+nansum(nansum(v2d(loc2v).*dAx(loc2v).*(S_ref-s2d(loc2v))/S_ref));%
ht_bso(1,1) = 4.2e6*nansum(nansum(u2d.*dAy.*(t2d-T_ref)))+nansum(nansum(v2d.*dAx.*(t2d-T_ref)));%
ht_bso(2,1) = 4.2e6*nansum(nansum(u2d(loc1u).*dAy(loc1u).*(t2d(loc1u)-T_ref)))+nansum(nansum(v2d(loc1v).*dAx(loc1v).*(t2d(loc1v)-T_ref)));%
ht_bso(3,1) = 4.2e6*nansum(nansum(u2d(loc2u).*dAy(loc2u).*(t2d(loc2u)-T_ref)))+nansum(nansum(v2d(loc2v).*dAx(loc2v).*(t2d(loc2v)-T_ref)));%
% voltransp_bso = nansum(nansum(u2d.*dAy-v2d.*dAx));%
fout = [dir_mdl,'/Gateway_flux_yearly_',char(scenario_list(iscenario)),'_',char(ensemble_list(iensem)),'_',num2str(iyear)];
save(fout,'vol_fram','fw_fram','ht_fram','s_fram','t_fram',...
'vol_bering','fw_bering','ht_bering','s_bering','t_bering',...
'vol_davis','fw_davis','ht_davis','s_davis','t_davis',...
'vol_denmark','fw_denmark','ht_denmark','s_denmark','t_denmark',...
'vol_bso','fw_bso','ht_bso','s_bso','t_bso');
end
end
end
%%
return;
scatter(x_cent(Fram_strait),y_cent(Fram_strait),20,'k','Filled');
m_scatter(lon_bnds(Fram_strait(1)),lat_bnds(Fram_strait(1)),20,'r','Filled');
figure;
contourf(dA);
colorbar;
figure;
contourf(s2d);
colorbar;
figure;
contourf(u2d);
colorbar;
colormap(cmocean('balance',10));
caxis([-0.1 0.1]);
figure;
contourf(v2d);
colorbar;
colormap(cmocean('balance',10));
caxis([-0.1 0.1]);