diff --git a/doc/notebooks/09_tutorial_shanchen_twocomponent.ipynb b/doc/notebooks/09_tutorial_shanchen_twocomponent.ipynb index 69a813e3f57c80e575fdaf58981511553290fa31..696ed644367b4242aa626e093bc8b1b60267d4f5 100644 --- a/doc/notebooks/09_tutorial_shanchen_twocomponent.ipynb +++ b/doc/notebooks/09_tutorial_shanchen_twocomponent.ipynb @@ -84,7 +84,11 @@ "Ï_a = dh.add_array('rho_a')\n", "Ï_b = dh.add_array('rho_b')\n", "u_a = dh.add_array('u_a', values_per_cell=dh.dim)\n", - "u_b = dh.add_array('u_b', values_per_cell=dh.dim)" + "u_b = dh.add_array('u_b', values_per_cell=dh.dim)\n", + "u_bary = dh.add_array_like('u_bary', u_a.name)\n", + "\n", + "f_a = dh.add_array('f_a', values_per_cell=dh.dim)\n", + "f_b = dh.add_array_like('f_b', f_a.name)" ] }, { @@ -136,7 +140,12 @@ "for factor, Ï in zip([g_ba, g_bb], [Ï_a, Ï_b]):\n", " force_b += sum((psi(Ï[d]) * w_d * sp.Matrix(d)\n", " for d, w_d in zip(stencil, weights)), \n", - " zero_vec) * psi(Ï_b.center) * -1 * factor" + " zero_vec) * psi(Ï_b.center) * -1 * factor\n", + "\n", + "f_expressions = ps.AssignmentCollection([\n", + " ps.Assignment(f_a.center_vector, force_a),\n", + " ps.Assignment(f_b.center_vector, force_b)\n", + "])" ] }, { @@ -144,7 +153,7 @@ "metadata": {}, "source": [ "The barycentric velocity, which is used in place of the individual components' velocities in the equilibrium distribution and Guo force term, is\n", - "$\\vec{u}=\\frac{1}{\\rho_a+\\rho_b}\\left(\\rho_a\\vec{u}_a+\\frac{1}{2}\\vec{F}_a+\\rho_b\\vec{u}_b+\\frac{1}{2}\\vec{F}_b\\right)$." + "$\\vec{u}=\\frac{1}{\\rho_a+\\rho_b}\\left(\\rho_a\\vec{u}_a+\\frac{1}{2}\\vec{F}_a+\\rho_b\\vec{u}_b+\\frac{1}{2}\\vec{F}_b\\right)$. The force corrections to the velocities are automatically applied when using the Guo force model." ] }, { @@ -153,9 +162,9 @@ "metadata": {}, "outputs": [], "source": [ - "u_full = [(Ï_a.center * u_a(i) + force_a[i]/2 + \n", - " Ï_b.center * u_b(i) + force_b[i]/2) / (Ï_a.center + Ï_b.center)\n", - " for i in range(dh.dim)]" + "u_full = ps.Assignment(\n", + " u_bary.center_vector,\n", + " (Ï_a.center * u_a.center_vector + Ï_b.center * u_b.center_vector) / (Ï_a.center + Ï_b.center))" ] }, { @@ -172,12 +181,12 @@ "outputs": [], "source": [ "lbm_config_a = LBMConfig(stencil=stencil, relaxation_rate=omega_a, compressible=True,\n", - " velocity_input=u_full, density_input=Ï_a, force_model=ForceModel.GUO, \n", - " force=force_a, kernel_type='collide_only')\n", + " velocity_input=u_bary, density_input=Ï_a, force_model=ForceModel.GUO, \n", + " force=f_a, kernel_type='collide_only')\n", "\n", "lbm_config_b = LBMConfig(stencil=stencil, relaxation_rate=omega_b, compressible=True,\n", - " velocity_input=u_full, density_input=Ï_b, force_model=ForceModel.GUO, \n", - " force=force_b, kernel_type='collide_only')\n", + " velocity_input=u_bary, density_input=Ï_b, force_model=ForceModel.GUO, \n", + " force=f_b, kernel_type='collide_only')\n", "\n", "\n", "\n", @@ -204,7 +213,10 @@ "stream_a_kernel = ps.create_kernel(stream_a, **opts).compile()\n", "stream_b_kernel = ps.create_kernel(stream_b, **opts).compile()\n", "collision_a_kernel = ps.create_kernel(collision_a, **opts).compile()\n", - "collision_b_kernel = ps.create_kernel(collision_b, **opts).compile()" + "collision_b_kernel = ps.create_kernel(collision_b, **opts).compile()\n", + "\n", + "force_kernel = ps.create_kernel(f_expressions, **opts).compile()\n", + "u_kernel = ps.create_kernel(u_full, **opts).compile()" ] }, { @@ -245,7 +257,11 @@ " dh.run_kernel(init_b_kernel)\n", " \n", " dh.fill(u_a.name, 0.0)\n", - " dh.fill(u_b.name, 0.0)" + " dh.fill(u_b.name, 0.0)\n", + " dh.run_kernel(u_kernel)\n", + " \n", + " dh.fill(f_a.name, 0.0)\n", + " dh.fill(f_b.name, 0.0)" ] }, { @@ -267,7 +283,9 @@ "def time_loop(steps):\n", " dh.all_to_gpu()\n", " for i in range(steps):\n", - " sync_Ïs() # collision kernel evaluates force values, that depend on neighboring Ï's\n", + " sync_Ïs()\n", + " dh.run_kernel(force_kernel)\n", + " dh.run_kernel(u_kernel)\n", " dh.run_kernel(collision_a_kernel)\n", " dh.run_kernel(collision_b_kernel)\n", " \n", @@ -313,7 +331,7 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ "<Figure size 3200x1200 with 4 Axes>" ] @@ -338,7 +356,7 @@ "The reference data was obtained with the [sample code](https://github.com/lbm-principles-practice/code/blob/master/chapter9/shanchen.cpp) after making the following changes:\n", "```c++\n", "const int nsteps = 1000;\n", - "const int noutput = 1;\n", + "const int noutput = 1000;\n", "const int nfluids = 2;\n", "const double gA = 0;\n", "```\n", @@ -353,28 +371,41 @@ "outputs": [], "source": [ "init()\n", - "time_loop(1)\n", - "ref_a = np.array([0.133183, 0.0921801, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.0921801, 0.133183, 0.719568, 1.05507, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 1.05507, 0.719568])\n", - "ref_b = np.array([0.719568, 1.05507, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 1.05507, 0.719568, 0.133183, 0.0921801, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.0921801, 0.133183])\n", - "assert np.allclose(dh.gather_array(Ï_a.name)[0], ref_a)\n", - "assert np.allclose(dh.gather_array(Ï_b.name)[0], ref_b)" + "time_loop(1000)\n", + "ref_a = np.array([0.213948, 0.0816724, 0.0516763, 0.0470179, 0.0480882, 0.0504771, 0.0531983, 0.0560094, 0.0588071, 0.0615311, 0.064102, 0.0664467, 0.0684708, 0.070091, 0.0712222, 0.0718055, 0.0718055, 0.0712222, 0.070091, 0.0684708, 0.0664467, 0.064102, 0.0615311, 0.0588071, 0.0560094, 0.0531983, 0.0504771, 0.0480882, 0.0470179, 0.0516763, 0.0816724, 0.213948, 0.517153, 0.833334, 0.982884, 1.0151, 1.01361, 1.0043, 0.993178, 0.981793, 0.970546, 0.959798, 0.949751, 0.940746, 0.933035, 0.926947, 0.922713, 0.920548, 0.920548, 0.922713, 0.926947, 0.933035, 0.940746, 0.949751, 0.959798, 0.970546, 0.981793, 0.993178, 1.0043, 1.01361, 1.0151, 0.982884, 0.833334, 0.517153])\n", + "ref_b = np.array([0.517153, 0.833334, 0.982884, 1.0151, 1.01361, 1.0043, 0.993178, 0.981793, 0.970546, 0.959798, 0.949751, 0.940746, 0.933035, 0.926947, 0.922713, 0.920548, 0.920548, 0.922713, 0.926947, 0.933035, 0.940746, 0.949751, 0.959798, 0.970546, 0.981793, 0.993178, 1.0043, 1.01361, 1.0151, 0.982884, 0.833334, 0.517153, 0.213948, 0.0816724, 0.0516763, 0.0470179, 0.0480882, 0.0504771, 0.0531983, 0.0560094, 0.0588071, 0.0615311, 0.064102, 0.0664467, 0.0684708, 0.070091, 0.0712222, 0.0718055, 0.0718055, 0.0712222, 0.070091, 0.0684708, 0.0664467, 0.064102, 0.0615311, 0.0588071, 0.0560094, 0.0531983, 0.0504771, 0.0480882, 0.0470179, 0.0516763, 0.0816724, 0.213948])\n", + "np.testing.assert_almost_equal(dh.gather_array(Ï_a.name)[0], ref_a, decimal=4)\n", + "np.testing.assert_almost_equal(dh.gather_array(Ï_b.name)[0], ref_b, decimal=4)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "np.testing.assert_array_less(\n", + " np.sum(dh.gather_array(u_bary.name) * \n", + " (dh.gather_array(Ï_a.name) + dh.gather_array(Ï_b.name))[..., np.newaxis],\n", + " axis=tuple(range(dim))),\n", + " 5e-12)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "### Run the simulation until converged" + "### Final state" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ "<Figure size 3200x1200 with 4 Axes>" ] @@ -386,8 +417,6 @@ } ], "source": [ - "init()\n", - "time_loop(1000)\n", "plot_Ïs()" ] }