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setup_ocean.m
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setup_ocean.m
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function Var = setup_ocean(PE, varargin)
% Optional input argument: Circulation strength factor
% Note: for no circulation use 'Psi0' option (different ode file)
Psi_factor = 1; % Default value
if any(strcmp(varargin, 'Psi_factor'))
ind = find(strcmp(varargin, 'Psi_factor'));
Psi_factor = varargin{ind+1};
end
% Default: no one-way flow
oneway = 0;
if any(strcmp(varargin, 'oneway'))
oneway = 1;
end
%% Ocean parameters
Aoc = PE.Ae*PE.foc; % Ocean area [m²]
Voc = 1.292e18; % Ocean volume [m³]
volboxweight = [0.00345,0.006908,0.02072,0.00690,0.1865,0.2714,0.5040];
if PE.nb==7
% box indices
Isfc = 1:4; % surface box indices
Idp = 5:7; % deep box indices
iAA = 1; % Antarctic surface
iSA = 2; % Subantarctic surface
iLL = 3; % Low latitude surface
iNA = 4; % N. Atlantic surface
iTC = 5; % Thermocline
iNADW = 6; % North Atlantic Deep Water
iAABW = 7; % Antarctic Bottom Water
iacronyms = {'AA','SA','LL','NA','TC','NADW','AABW'};
% surface boxes
H(Isfc) = [250 250 100 250]; % Surface box depths [m]
A(Isfc) = [0.05 0.1 0.75 0.1]*Aoc; % Surface box areas [m²]
V(Isfc) = A.*H; % Box volume (surface) [m³]
% thermocline+deep boxes
H(5) = 900;
A(5) = A(3);
V(5) = A(5)*H(5);
A(6:7) = Aoc; %[m²]
V(6:7) = [0.35 0.65]*(Voc-sum(V)); % [m³]
H(6:7) = V(6:7)./A(6:7); % edit: itemwise division
elseif PE.nb == 2
Isfc = 1;
Idp = 2;
A = [Aoc Aoc];
Vsurf = sum([250 250 100 250].*[0.05 0.1 0.75 0.1]*Aoc);
V = [Vsurf Voc-Vsurf];
H = V./A;
elseif PE.nb == 1
Isfc = 1; % surface box
Idp = 1;
A = Aoc;
V = Voc;
H = Voc/Aoc;
else
error('Specify box numer nb=1, 2, or 7.')
end
%% circulation (if DoOcnCirc=1)
if PE.nb == 7
PsiN_o = 20e6; %20*(1e6); % NADW overturning [Sv = 10^6 m3 s-1]
PsiS_o = 20e6; %20*(1e6); % AABW overturning [Sv]
PsiT_o = 100e6; %100*(1e6); % Thermocline overturning [Sv]
PsiM_o = 40e6; %40*(1e6); % convective mixing [Sv]
% PsiN = NADW path [binary, no unit]
PsiNmat = zeros(PE.nb,PE.nb);
PsiNroute = [iNA iNADW iAABW iAA iSA iTC iNA];
for i = 1:length(PsiNroute)-1;
PsiNmat(PsiNroute(i),PsiNroute(i+1)) = 1;
end
% PsiS = AABW path
PsiSmat = zeros(PE.nb,PE.nb);
PsiSroute = [iAA iAABW iAA];
for i = 1:length(PsiSroute)-1;
PsiSmat(PsiSroute(i),PsiSroute(i+1))=1;
end
% PsiT = path of Thermocline MOC
PsiTmat = zeros(PE.nb,PE.nb);
PsiTroute = [iLL iTC iLL];
for i = 1:length(PsiTroute)-1;
PsiTmat(PsiTroute(i),PsiTroute(i+1)) = 1;
end
% PsiM = Path of NorthAtlantic Mixing (Two way)
PsiMmat=zeros(PE.nb,PE.nb);
PsiMroute=[iNA iNADW iNA];
for i=1:length(PsiMroute)-1;
PsiMmat(PsiMroute(i),PsiMroute(i+1))=1;
end
% Total transport matrix (integrating Psi S, N, T and M)
Psi = PsiTmat'*PsiT_o + PsiSmat'*PsiS_o + PsiNmat'*PsiN_o +...
PsiMmat'* PsiM_o;
for i = 1:PE.nb
Psi(i,i) = -sum(Psi(i,:)); % until here, Psi has units of Sv/10^6 (so not sverdrup, but sverdrup per million)
end
Psi_Sv = Psi;
Psi = (24*60*60)*Psi./repmat(V',[1 PE.nb]); % divide by volume to get timescale [m³d-1/m³ = d-1]
Psi_o = Psi*Psi_factor; % by default, factor = 1
% Psi: column = source box, row = receiving box
% total circulation in m³/s: sum(-diag(Psi_Sv))
% total default circulation rate in m³/d sum(-diag((24*60*60)*Psi_Sv))
elseif PE.nb == 2
Psi_Downo = 90*(1e6);
Psi_Upo = 90*(1e6);
% PsiDown = down path [binary, no unit]
PsiDownmat = zeros(PE.nb,PE.nb);
PsiDownroute = [1 2];
for i = 1:length(PsiDownroute)-1;
PsiDownmat(PsiDownroute(i),PsiDownroute(i+1)) = 1;
end
% PsiUp = Up path [binary, no unit]
PsiUpmat = zeros(PE.nb,PE.nb);
PsiUproute = [2 1];
for i = 1:length(PsiUproute)-1;
PsiUpmat(PsiUproute(i),PsiUproute(i+1)) = 1;
end
% Total transport matrix (integrating Psi Down and Up)
Psi = PsiDownmat'*Psi_Downo + PsiUpmat'*Psi_Upo;
for i = 1:PE.nb
Psi(i,i) = -sum(Psi(i,:)); % until here, Psi has units of Sv/10^6 (so not sverdrup, but sverdrup per million!)
end
Psi_Sv = Psi;
Psi = (24*60*60)*Psi./repmat(V',[1 PE.nb]); % divide by volume to get timescale [m³d-1/m³ = d-1]
Psi_o = Psi*Psi_factor; % by default, factor = 1
if oneway == 1 % no backflow from deep into surface box (i.e. oneway flow)
Psi(:,2) = 0;
Psi_o = Psi*Psi_factor;
end
else
Psi = 0;
Psi_o = 0;
end
%% surface properties
if PE.nb == 7
T = [-0.57 5.49 20.42 5.16 10.05 6.52 0.19]; % surface box temperature (degC)
elseif PE.nb ==2
T = [mean([-0.57; 5.49; 20.42; 5.16]) mean([10.05 6.52 0.19])];
else
T = mean([-0.57 5.49 20.42 5.16 10.05 6.52 0.19]);
end
clear PE
Var=v2struct;
end