{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from lbmpy.session import *\n",
    "import pystencils as ps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 07: Coupling two LBM simulations for thermal simulations\n",
    "\n",
    "In this notebook we demonstrate how to run a thermal lattice Boltzmann simulation.\n",
    "We use a separate set of distribution functions to solve the advection-diffusion equation for the temperature.\n",
    "The zeroth moment of these additional pdfs corresponds to temperature. \n",
    "\n",
    "The thermal LB step is coupled to the normal hydrodynamic LB scheme using the Boussinesq approximation. The force on the liquid is proportional to the relative temperature. The hydrodynamic LB method computes the fluid velocity which in turn enters the thermal scheme, completing the two-way coupling.\n",
    "\n",
    "To set this up in *lbmpy* we create first a `data handling` object and create an array to store the temperature."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "domain_size = (50, 50, 50)\n",
    "\n",
    "target = ps.Target.CPU\n",
    "dh = ps.create_data_handling(domain_size, default_target=target)\n",
    "temperature_field = dh.add_array(\"T\", values_per_cell=1)\n",
    "dh.fill('T', val=0.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we define how to compute the local force from the temperature field:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "force = sp.Matrix([0, temperature_field.center * 3e-4, 0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we can create both LB steps. \n",
    "\n",
    "The coupling is created by passing the following parameters to the hydrodynamic step,\n",
    "\n",
    "- `compute_velocity_in_every_step`: usually the velocity is not computed/stored in every time step, only for output and plotting reasons. In the coupled algorithm we have to make sure that after every time step the current velocity is stored in an array, since it enters the thermal LB scheme.\n",
    "- `force`: we can simply pass our sympy expression for the force here, as long as the `LatticeBoltzmannStep` operates on a data handling that stores the fields that are referenced in the expression. This is why we have to create the data handling first and pass it to both Step objects\n",
    "\n",
    "and to the thermal step\n",
    "- `compute_density_in_every_step`: density corresponds to the temperature here, which we need to be computed in every time step, since it enters the force expression for the hydrodynamic scheme\n",
    "- `velocity_input_array_name`: the velocity entering the thermal equilibrium equation is not computed as first moment of the thermal pdfs. Instead, the hydrodynamic velocity is used here.\n",
    "\n",
    "For the hydrodynamic lattice Boltzmann step, we use a D3Q19 stencil, while we use a D3Q7 stencil to solve the thermal lattice Boltzmann step."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "config = ps.CreateKernelConfig(target=target)\n",
    "config.cpu.openmp.enable = True\n",
    "\n",
    "target = ps.Target.CPU\n",
    "dh = ps.create_data_handling(domain_size, default_target=target)\n",
    "temperature_field = dh.add_array(\"T\", values_per_cell=1)\n",
    "dh.fill('T', val=0.0)\n",
    "\n",
    "hydro_step   = LatticeBoltzmannStep(data_handling=dh, name='hydro', stencil=LBStencil(Stencil.D3Q19),\n",
    "                                    relaxation_rate=1.8,\n",
    "                                    compute_velocity_in_every_step=True,\n",
    "                                    force=force, config=config)\n",
    "thermal_step = LatticeBoltzmannStep(data_handling=dh, name='thermal', stencil=LBStencil(Stencil.D3Q7),\n",
    "                                    relaxation_rate=1.3, density_data_name=\"T\",\n",
    "                                    compute_density_in_every_step=True,\n",
    "                                    compressible=True,\n",
    "                                    velocity_input_array_name=hydro_step.velocity_data_name,\n",
    "                                    config=config)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We add `NoSlip` boundary conditions on all all walls for both schemes with the exception of the left and right wall of the thermal scheme. Here we set a heated and a cooled wall, where the temperature is fixed to `0.5` and `-0.5`. This kind of Dirichlet boundary condition can be set using a `FixedDensity` LB boundary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 4000x1000 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "add_box_boundary(hydro_step.boundary_handling)\n",
    "add_box_boundary(thermal_step.boundary_handling)\n",
    "thermal_step.boundary_handling.set_boundary(FixedDensity(0.5), slice_from_direction('W', dh.dim))\n",
    "thermal_step.boundary_handling.set_boundary(FixedDensity(-0.5), slice_from_direction('E', dh.dim))\n",
    "\n",
    "plt.figure(figsize=(20, 5), dpi=200)\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.title(\"Hydrodynamic\")\n",
    "plt.boundary_handling(hydro_step.boundary_handling, ps.make_slice[:, :, domain_size[2] // 2])\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.title(\"Thermal\")\n",
    "plt.boundary_handling(thermal_step.boundary_handling, ps.make_slice[:, :, domain_size[2] // 2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def run(time_steps):\n",
    "    hydro_step.pre_run()\n",
    "    thermal_step.pre_run()\n",
    "    for t in range(time_steps):\n",
    "        hydro_step.time_step()\n",
    "        thermal_step.time_step()\n",
    "    hydro_step.post_run()\n",
    "    thermal_step.post_run()\n",
    "    hydro_step.time_steps_run += time_steps\n",
    "    thermal_step.time_steps_run += time_steps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "if 'is_test_run' not in globals():\n",
    "    run(5000)\n",
    "else:\n",
    "    run(10)\n",
    "\n",
    "assert np.isfinite(hydro_step.velocity[:, :, :].max())\n",
    "assert np.isfinite(thermal_step.density[:, :, :].max())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7faf95ee5910>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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",
      "text/plain": [
       "<Figure size 3200x1000 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16, 5), dpi=200)\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.scalar_field(thermal_step.density[:, :, domain_size[2] // 2])\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.vector_field_magnitude(hydro_step.velocity[:, :, domain_size[2] // 2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.quiver.Quiver at 0x7faf95ec47a0>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2)\n",
    "axs[0].axis('equal')\n",
    "axs[0].contour(np.transpose(thermal_step.density[:, :, domain_size[2] // 2]), 21, origin=None)\n",
    "\n",
    "qq = hydro_step.velocity[:, :, domain_size[2] // 2]\n",
    "axs[1].axis('equal')\n",
    "axs[1].quiver(np.transpose(qq[0:50:4, 0:50:4, 0]), np.transpose(qq[0:50:4, 0:50:4, 1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv (3.12.12)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
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