diff --git a/FloryHugg_DiffUnbleached.ipynb b/FloryHugg_DiffUnbleached.ipynb index 08b6006c1506659f0febddab18b0b9abaf835273..f9d2427fbc75ba1e75a53285192b6dca219d1883 100644 --- a/FloryHugg_DiffUnbleached.ipynb +++ b/FloryHugg_DiffUnbleached.ipynb @@ -16,7 +16,7 @@ "# domain = ms.Sphere(df.Point(0, 0, 0), 1.0)\n", "# mesh = ms.generate_mesh(domain, 50)\n", "mesh = df.UnitIntervalMesh(10000)\n", - "dt = 0.000001\n", + "dt = 0.0001\n", "\n", "F = df.FunctionSpace(mesh, 'CG', 1)" ] @@ -40,21 +40,21 @@ "# tc*df.inner(df.grad(c_tot), df.grad((1-c_tot)/c_tot*c/Ga0))) * df.dx\n", " \n", "# # Weak form radial symmetry:\n", - "# form = ((df.inner((c-c0)/dt, tc*X[0]*X[0]) +\n", - "# df.inner(df.grad(c), df.grad((1-c_tot)/Ga0*tc*X[0]*X[0]))) -\n", - "# df.inner(df.grad(c_tot), df.grad((1-c_tot)/Ga0/c_tot*c*tc*X[0]*X[0]))-\n", - "# tc*df.inner(df.grad(c), df.grad((1-c_tot)/Ga0*X[0]*X[0]))+\n", - "# tc*df.inner(df.grad(c_tot), df.grad((1-c_tot)/c_tot*c/Ga0*X[0]*X[0]))-\n", - "# (1-c_tot)/Ga0*2*X[0]*c.dx(0)*tc+\n", - "# (1-c_tot)/Ga0/c_tot*c*2*X[0]*c_tot.dx(0)*tc) * df.dx\n", - " # Weak form radial symmetry:\n", " form = ((df.inner((c-c0)/dt, tc*X[0]*X[0]) +\n", - " df.inner(df.grad(c), df.grad((1-c_tot+a*c_tot*c_tot)*tc*X[0]*X[0]))) -\n", - " df.inner(df.grad(c_tot), df.grad((1-c_tot+a*c_tot*c_tot)/c_tot*c*tc*X[0]*X[0]))-\n", - " tc*df.inner(df.grad(c), df.grad((1-c_tot+a*c_tot*c_tot)*X[0]*X[0]))+\n", - " tc*df.inner(df.grad(c_tot), df.grad((1-c_tot+a*c_tot*c_tot)/c_tot*c*X[0]*X[0]))-\n", - " (1-c_tot+a*c_tot*c_tot)*2*X[0]*c.dx(0)*tc+\n", - " (1-c_tot+a*c_tot*c_tot)/c_tot*c*2*X[0]*c_tot.dx(0)*tc) * df.dx\n", + " df.inner(df.grad(c), df.grad((1-c_tot)*Ga0*tc*X[0]*X[0]))) -\n", + " df.inner(df.grad(c_tot), df.grad((1-c_tot)*Ga0/c_tot*c*tc*X[0]*X[0]))-\n", + " tc*df.inner(df.grad(c), df.grad((1-c_tot)*Ga0*X[0]*X[0]))+\n", + " tc*df.inner(df.grad(c_tot), df.grad((1-c_tot)/c_tot*c*Ga0*X[0]*X[0]))-\n", + " (1-c_tot)*Ga0*2*X[0]*c.dx(0)*tc+\n", + " (1-c_tot)*Ga0/c_tot*c*2*X[0]*c_tot.dx(0)*tc) * df.dx\n", + " # Weak form radial symmetry:\n", + "# form = ((df.inner((c-c0)/dt, tc*X[0]*X[0]) +\n", + "# df.inner(df.grad(c), df.grad((1-c_tot+a*c_tot*c_tot)*tc*X[0]*X[0]))) -\n", + "# df.inner(df.grad(c_tot), df.grad((1-c_tot+a*c_tot*c_tot)/c_tot*c*tc*X[0]*X[0]))-\n", + "# tc*df.inner(df.grad(c), df.grad((1-c_tot+a*c_tot*c_tot)*X[0]*X[0]))+\n", + "# tc*df.inner(df.grad(c_tot), df.grad((1-c_tot+a*c_tot*c_tot)/c_tot*c*X[0]*X[0]))-\n", + "# (1-c_tot+a*c_tot*c_tot)*2*X[0]*c.dx(0)*tc+\n", + "# (1-c_tot+a*c_tot*c_tot)/c_tot*c*2*X[0]*c_tot.dx(0)*tc) * df.dx\n", " \n", " t = 0\n", " # Solve in time\n", @@ -119,9 +119,11 @@ "# c0_1 = calc_sim(c0_1, c_tot_1, Ga0_1)\n", "# c0_9 = calc_sim(c0_9, c_tot_9, Ga0_9)\n", "\n", + "# c0_1 = calc_sim(c0_1, c_tot1, 0)\n", + "# c0_2 = calc_sim(c0_2, c_tot2, a)\n", "\n", - "c0_1 = calc_sim(c0_1, c_tot1, 0)\n", - "c0_2 = calc_sim(c0_2, c_tot2, a)" + "c0_1 = calc_sim(c0_1, ct_1, g_1)\n", + "c0_2 = calc_sim(c0_2, ct_2, g_2)" ] }, { @@ -131,9 +133,9 @@ "outputs": [], "source": [ "# 1D:\n", - "plt.plot(np.linspace(0, 1, 10000), [c0_1([x]) for x in np.linspace(0, 1, 10000)])\n", + "plt.plot(np.linspace(0, 1, 10000), [1.31*c0_1([x]) for x in np.linspace(0, 1, 10000)])\n", "plt.plot(np.linspace(0, 1, 10000), [c0_2([x]) for x in np.linspace(0, 1, 10000)])\n", - "# plt.xlim(0.06, 0.125)\n", + "plt.xlim(0.06, 0.125)\n", "# plt.ylim(0, 0.3)\n", "# 3D:\n", "# plt.plot(np.linspace(0, 0.5, 1000), [c0([x, 0, 0]) for x in np.linspace(0, 0.5, 1000)])" @@ -177,14 +179,16 @@ "ct_2 = df.Function(F)\n", "c0_1 = df.Function(F)\n", "c0_2 = df.Function(F)\n", + "g_1 = df.Function(F)\n", + "g_2 = df.Function(F)\n", "\n", "ct_1.interpolate(df.Expression(p_tot(p1_i, p1_o), degree=1))\n", "ct_2.interpolate(df.Expression(p_tot(p2_i, p2_o), degree=1))\n", "P1 = c_tot1(0)/c_tot1(1)\n", "P2 = c_tot2(0)/c_tot2(1)\n", "\n", - "g_2 = df.Function(F)\n", - "g_2.interpolate(df.Expression(p_tot(p2)))\n", + "g_1.interpolate(df.Expression('1', degree=1))\n", + "g_2.interpolate(df.Expression(p_tot(p1_o/p2_o, p1_i/p2_i), degree=1))\n", "D_out1 = 1-c_tot1(1)\n", "a = (P2*D_out1/P1-1+p2_o)/p2_o**2\n", "\n", @@ -199,6 +203,10 @@ "outputs": [], "source": [ "plt.plot(np.linspace(0, 1, 1000), [ct_1([x]) for x in np.linspace(0, 1, 1000)])\n", + "plt.plot(np.linspace(0, 1, 1000), [ct_2([x]) for x in np.linspace(0, 1, 1000)])\n", + "plt.show()\n", + "\n", + "plt.plot(np.linspace(0, 1, 1000), [g_2([x]) for x in np.linspace(0, 1, 1000)])\n", "# plt.plot(np.linspace(0, 1, 1000), [(1-c_tot1([x])-a*c_tot1([x])**2) for x in np.linspace(0, 1, 1000)])" ] },