{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Casson model for simulating Non Newtonian blood flow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "from lbmpy.session import *\n",
    "import pystencils as ps\n",
    "\n",
    "from lbmpy.non_newtonian_models import CassonsParameters\n",
    "from lbmpy.relaxationrates import lattice_viscosity_from_relaxation_rate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The primary source for the implementation of the Casson model can be found [here](https://doi.org/10.1007/s10955-005-8415-x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "stencil = LBStencil(Stencil.D3Q27)\n",
    "\n",
    "W = 41\n",
    "L = 1 * W\n",
    "domain_size = (L, W, W)\n",
    "\n",
    "omega = 1.0\n",
    "nu = lattice_viscosity_from_relaxation_rate(omega)\n",
    "\n",
    "driving_force = 0.0001"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The only parameter of the model is the so-called yield_stress. The main idea is that no strain rate is observed below some stress. However, this leads to the problem that the modified relaxation rate might no longer lead to stable LBM simulations. Thus an upper and lower limit for the shear relaxation rate must be given. All the parameters are combined in the `CassonsParameters` dataclass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# yield stress\n",
    "sigma_y = 2*1e-6\n",
    "\n",
    "parameters = CassonsParameters(yield_stress=sigma_y, omega_min=0.2, omega_max=1.98)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "dh = ps.create_data_handling(domain_size=domain_size, periodicity=(True, False, False))\n",
    "\n",
    "src = dh.add_array('src', values_per_cell=len(stencil))\n",
    "dh.fill('src', 0.0, ghost_layers=True)\n",
    "dst = dh.add_array('dst', values_per_cell=len(stencil))\n",
    "dh.fill('dst', 0.0, ghost_layers=True)\n",
    "\n",
    "velField = dh.add_array('velField', values_per_cell=dh.dim)\n",
    "dh.fill('velField', 0.0, ghost_layers=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To activate the Casson model in the derivation of the LBM equations, simply pass the parameter class to the LBMConfig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "lbm_config = LBMConfig(stencil=Stencil.D3Q27, method=Method.SRT,\n",
    "                       relaxation_rate=1, compressible=False, force=(driving_force / L, 0,0),\n",
    "                       cassons=parameters,\n",
    "                       output={'velocity': velField}, kernel_type='stream_pull_collide')\n",
    "\n",
    "method = create_lb_method(lbm_config=lbm_config)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "init = pdf_initialization_assignments(method, 1.0, velocity=velField.center_vector, pdfs=src.center_vector)\n",
    "\n",
    "ast_init = ps.create_kernel(init, target=dh.default_target)\n",
    "kernel_init = ast_init.compile()\n",
    "\n",
    "dh.run_kernel(kernel_init)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The main expression for the Casson model is:\n",
    "$$\n",
    "\\lvert \\dot{\\gamma} \\rvert = 2 \\sqrt{S_{\\alpha \\beta} S_{\\alpha \\beta}} = \\frac{3 \\sigma}{\\tau_\\mu \\nu^2 \\rho \\Delta t}\n",
    "$$\n",
    "\n",
    "where $\\lvert \\dot{\\gamma} \\rvert$ is the shear strain rate, $\\sigma$ is the shear stress, $\\nu$ is a constant viscosity $\\rho$ is the density and $\\Delta t$ is the lattice timestep size. The strain rate tensor is computed in the same way as in `Tutorial 06: Modifying a LBM method: Smagorinsky model`. \n",
    "\n",
    "In order to calculate the adapted viscosity the following equation is used:\n",
    "\n",
    "$$\n",
    "\\sqrt{\\frac{\\mu}{\\eta}} = \\frac{1}{1 - \\theta} \\left[1 + \\sqrt{\\theta \\left[ 1 + \\frac{\\rho \\Delta t \\nu^2}{\\eta} \\frac{3}{2} \\left( 1 - \\theta \\right) \\right]} \\right]\n",
    "$$\n",
    "\n",
    "where $\\theta = \\frac{\\sigma_y}{\\sigma}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "lbm_optimisation = LBMOptimisation(symbolic_field=src, symbolic_temporary_field=dst)\n",
    "update = create_lb_update_rule(lbm_config=lbm_config,\n",
    "                               lbm_optimisation=lbm_optimisation)\n",
    "\n",
    "ast_kernel = ps.create_kernel(update, target=dh.default_target)\n",
    "kernel = ast_kernel.compile()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# you can look at the complete equation set by removing the comment below\n",
    "\n",
    "# update"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def pipe_geometry_callback(x, y, z):\n",
    "    global W\n",
    "    radius = W / 2\n",
    "    y_mid = W / 2\n",
    "    z_mid = W / 2\n",
    "    return (y - y_mid) ** 2 + (z - z_mid) ** 2 > radius ** 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1280x960 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bh = LatticeBoltzmannBoundaryHandling(method, dh, src.name, name=\"bh\")\n",
    "peridocity = LBMPeriodicityHandling(stencil=stencil, data_handling=dh, pdf_field_name=src.name)\n",
    "\n",
    "wall = NoSlip(\"wall\")\n",
    "bh.set_boundary(wall, mask_callback=pipe_geometry_callback)\n",
    "\n",
    "plt.figure(dpi=200)\n",
    "plt.boundary_handling(bh, ps.make_slice[0.5, :, :])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def timeloop(timeSteps):\n",
    "    for i in range(timeSteps):\n",
    "        bh()\n",
    "        peridocity()\n",
    "        dh.run_kernel(kernel)\n",
    "        dh.swap(\"src\", \"dst\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f68c817ca70>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1280x960 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "timeloop(2000)\n",
    "\n",
    "plt.figure(dpi=200)\n",
    "plt.scalar_field(dh.gather_array('velField')[domain_size[0] // 2, :, :, 0]);\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def poiseuille_profil(r, nu, a, dpdx, dim):\n",
    "    dim_scale = 2 if dim == 2 else 1\n",
    "    return -dim_scale/(4 * nu) * (a**2 - r**2) * dpdx\n",
    "\n",
    "def poiseuille_profil_nN(r, rc, nu, a, dpdx, dim):\n",
    "    dim_scale = 2 if dim == 2 else 1\n",
    "    if abs(r) >= rc:\n",
    "        p = a**2-r**2-8/3*rc**(1/2)*(a**(3/2)-abs(r)**(3/2))+2*rc*(a-abs(r))\n",
    "    else:\n",
    "        p = a**2-8/3*rc**(1/2)*a**(3/2)+2*rc*a-1/3*rc**2\n",
    "    return -dim_scale/(4*nu)*dpdx*p\n",
    "\n",
    "\n",
    "dpdx = -driving_force / L\n",
    "if stencil.D == 2:\n",
    "    r_c = abs(1/ math.sqrt(2)*sigma_y/dpdx)\n",
    "elif stencil.D == 3:\n",
    "    r_c = abs(1/ math.sqrt(2)*2*sigma_y/dpdx)\n",
    "\n",
    "analytical_solution    = [poiseuille_profil(r, nu, W/2, dpdx, stencil.D) for r in range(math.ceil(-W/2), math.floor(W/2)+1)]\n",
    "analytical_solution_nN = [poiseuille_profil_nN(r, r_c, nu, W/2, dpdx, stencil.D) for r in range(math.ceil(-W/2), math.floor(W/2)+1)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f68c5ab4c80>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1280x960 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(dpi=200)\n",
    "plt.scalar_field(dh.gather_array('velField')[:, domain_size[1] // 2, :, 0]);\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f68c55c1f70>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dh.gather_array(velField.name)[domain_size[0]//2, domain_size[1]//2, :, 0])\n",
    "plt.plot(analytical_solution_nN)\n",
    "plt.plot(analytical_solution)\n",
    "\n",
    "plt.legend([\"Non-Newtonian flow simulation\", \"Analytic non-Newtonian flow\", \"Analytic Newtonian flow\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = dh.gather_array(velField.name)[domain_size[0]//2, domain_size[1]//2, :, 0]\n",
    "b = analytical_solution_nN\n",
    "\n",
    "assert np.max((a - b) / b) < 0.07"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv (3.12.12)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}