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Commit 936276be authored by Lars Hubatsch's avatar Lars Hubatsch
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Matlab code for ternary model for unbleached molecules seems to work properly...

Matlab code for ternary model for unbleached molecules seems to work properly now. Problem before: volume fraction not defined properly and thus low mobility inside.
parent 7526f95b
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......@@ -3,25 +3,22 @@
% (bleached+unbleached=const.=pt). Then bleached species initial
% conditions are introduced. Integration of model via pdepe.
% Still not sure whether this solution is correct. Diffusion seems to slow
% towards the end!
a = -50;
b = 0.1;
b = 0.01;
c = 1/100000;
u0 = 0.3;
%% Solve pde
x = [linspace(49, 55, 600), linspace(55.01, 200, 300)];
t = linspace(0, 1, 10000);
t = linspace(0, 0.001, 1000);
fh_ic = @(x) flory_ic(x, a, u0);
fh_bc = @(xl, ul, xr, ur, t) flory_bc(xl, ul, xr, ur, t, u0);
fh_pde = @(x, t, u, dudx) flory_hugg_pde(x, t, u, dudx, a, b, c, u0);
sol = pdepe(0, fh_pde, fh_ic, fh_bc, x, t);
%% Plotting
figure(1); hold on;
for i = 1:1000
for i = 1:length(t)
cla; xlim([49, 53]); ylim([0, 1.5]);
plot(x, phi_tot(x, a, b, u0)); plot(x, sol(i, :)); pause(0.01);
plot(x, phi_tot(x, a, b, u0)); plot(x, sol(i, :)); pause(0.03);
end
%% Plot and check derivatives of pt
......@@ -39,7 +36,7 @@ function [c, f ,s] = flory_hugg_pde(x, t, u, dudx, a, b, c_p, u0)
pt = phi_tot(x, a, b, u0);
gra_a = gradient_analytical(x, a, b);
c = c_p;
f = ((u0+1)-pt)/pt*(pt*dudx-u*gra_a);
f = ((u0+1.3)-pt)/pt*(pt*dudx-u*gra_a);
s = 0;
end
......
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