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set_ice_geometry.m
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set_ice_geometry.m
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function set_ice_geometry()
global xi dx hS hB H W W_s M Ms N dzeta zeta dzetadx
global type_valley type_geometry
switch type_geometry
case 1 % Hault d'Arolla
geoGlacier = dlmread('arolla100.dat');
geoGlacier = geoGlacier';
% origin
xi = geoGlacier(1,:);
hB = geoGlacier(2,:);
hS = geoGlacier(3,:);
H = hS - hB + 0.1;
dx = xi(2) - xi(1);
M = length(xi);
Ms = M + 1;
N = 31;
dzeta = 1/(N-1);
zeta = 0:dzeta:1;
zeta = zeta';
% Half-width distribution
W = zeros(N,M);
switch type_valley
case 1 % trapezoid
alpha_trapezoid = 45*pi/180;
Wsurf = 10*ones(1,M);
for i = 1:M
W(:,i) = Wsurf(i) - (H(i) - H(i)*zeta)/tan(alpha_trapezoid);
% Make sure Wbase >= 1
logic1 = (W(:,i) < 1e-3);
W(:,i) = (1-logic1).*W(:,i) + 1*logic1;
end
case 2 % Svensson: y = ax^b
Wsurf = 500*ones(1,M);
for i=1:M
W(:,i) = (zeta.^(1/q(i)))*Wsurf(i);
end
W(1,:) = W(2,:)/2;
case 3 % rectangular
Wsurf = 10000*ones(1,M);
W = ones(N,1)*Wsurf;
end
W_s = [W(:,1), (W(:,2:end)+W(:,1:end-1))/2, W(:,end)];
case 2 % Hault d'Arolla (resampled to 250 points)
geoGlacier = dlmread('arolla100.dat');
geoGlacier = geoGlacier';
% origin
xi0 = geoGlacier(1,:);
hB0 = geoGlacier(2,:);
hS0 = geoGlacier(3,:);
dx = 10;
xi = 0:dx:5000;
hB1 = interp1(xi0, hB0, xi, 'spline');
hS1 = interp1(xi0, hS0, xi, 'spline');
hB2 = smooth(hB1, 0.1, 'loess');
hS2 = smooth(hS1, 0.1, 'loess');
% plot(xi0, hB0, 'k', xi0, hS0, 'k')
% hold on
% % plot(xi, hB1, 'r', xi, hS1, 'r')
% plot(xi, hB2', 'b', xi, hS2', 'b')
% hS = hS1; hB = hB1;
hS = hS2'; hB = hB2';
logic1 = (hS-hB) > 0;
hB = logic1.*hB + (1-logic1).*(hS - 0.1);
H = hS - hB;
M = length(xi);
Ms = M + 1;
N = 31;
dzeta = 1/(N-1);
zeta = 0:dzeta:1;
zeta = zeta';
% Half-width distribution
W = zeros(N,M);
switch type_valley
case 1 % trapezoid
alpha_trapezoid = 45*pi/180;
Wsurf = 10*ones(1,M);
for i = 1:M
W(:,i) = Wsurf(i) - (H(i) - H(i)*zeta)/tan(alpha_trapezoid);
% Make sure Wbase >= 1
logic1 = (W(:,i) < 1e-3);
W(:,i) = (1-logic1).*W(:,i) + 1*logic1;
end
case 2 % Svensson: y = ax^b
Wsurf = 500*ones(1,M);
for i=1:M
W(:,i) = (zeta.^(1/q(i)))*Wsurf(i);
end
W(1,:) = W(2,:)/2;
case 3 % rectangular
Wsurf = 10000*ones(1,M);
W = ones(N,1)*Wsurf;
end
W_s = [W(:,1), (W(:,2:end)+W(:,1:end-1))/2, W(:,end)];
case 3 % Kleiner Exp. A (parallel-sided slab)
H = 1000; % ice thickness [m]
N = 201;
M = 1;
dzeta = 1/(N-1);
zeta = 0:dzeta:1;
zeta = zeta';
dx = 100; % any constant not equal to zero
dzetadx = zeros(N, M);
case 4 % Kleiner Exp. B (polythermal parallel-sided slab)
H = 200; % ice thickness [m]
N = 401; % N = 21, dz = 10 m; N = 401, dz = 0.5 m
M = 1;
dzeta = 1/(N-1);
zeta = 0:dzeta:1;
zeta = zeta';
dx = 100; % any constant not equal to zero
dzetadx = zeros(N, M);
case 5 % Hewitt-Schoof Ice Cap Experiment
M = 51;
Ms = M+1;
L = 100*1000;
xi = linspace(0, L, M);
hB = zeros(1,M);
hS = 1500.*(1 - (xi/L).^2);
H = hS - hB + 0.1;
dx = xi(2) - xi(1);
N = 201; % dz = 200/(N-1), N = 200/dz + 1
dzeta = 1/(N-1);
zeta = linspace(0,1,N);
zeta = zeta';
case 6 % Storglaciaeren example
geoGlacier = load('geoStorglaciaeren.mat');
geoGlacier = geoGlacier.sg;
geoGlacier = geoGlacier';
% origin
xi = geoGlacier(1, 5:104);
hB = geoGlacier(2, 5:104);
hS = geoGlacier(3, 5:104);
H = geoGlacier(4, 5:104) + 0.1;
dx = xi(2) - xi(1);
M = length(xi);
Ms = M + 1;
N = 31;
dzeta = 1/(N-1);
zeta = 0:dzeta:1;
zeta = zeta';
% Half-width distribution
W = zeros(N,M);
switch type_valley
case 1 % trapezoid
alpha_trapezoid = 45*pi/180;
Wsurf = 10*ones(1,M);
for i = 1:M
W(:,i) = Wsurf(i) - (H(i) - H(i)*zeta)/tan(alpha_trapezoid);
% Make sure Wbase >= 1
logic1 = (W(:,i) < 1e-3);
W(:,i) = (1-logic1).*W(:,i) + 1*logic1;
end
case 2 % Svensson: y = ax^b
Wsurf = 500*ones(1,M);
for i=1:M
W(:,i) = (zeta.^(1/q(i)))*Wsurf(i);
end
W(1,:) = W(2,:)/2;
case 3 % rectangular
Wsurf = 1000*ones(1,M);
W = ones(N,1)*Wsurf;
end
W_s = [W(:,1), (W(:,2:end)+W(:,1:end-1))/2, W(:,end)];
end
end