{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "253688c6",
   "metadata": {},
   "source": [
    ".. index:: Equations; Darcy flow\n",
    "\n",
    ".. index:: Methods; hp adaptive Discontinuous Galerkin\n",
    "\n",
    "# Problem Description\n",
    "This example considers two-phase porous-media flow.\n",
    "In all that follows, we assume that the flow is immiscible and\n",
    "incompressible with no mass transfer between phases.\n",
    "A detailed description of the mathematical model and parameters\n",
    "can be found <cite data-cite=\"TwoPhaseFlow\"></cite>."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "8d17b3e7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:29:15.529671Z",
     "iopub.status.busy": "2024-02-29T12:29:15.529327Z",
     "iopub.status.idle": "2024-02-29T12:30:54.268616Z",
     "shell.execute_reply": "2024-02-29T12:30:54.267667Z"
    }
   },
   "outputs": [],
   "source": [
    "try:\n",
    "    import dune.femdg\n",
    "except ImportError:\n",
    "    print(\"This example needs 'dune.femdg' - skipping\")\n",
    "    import sys\n",
    "    sys.exit(0)\n",
    "\n",
    "from matplotlib import pyplot\n",
    "\n",
    "import numpy\n",
    "from ufl import *\n",
    "from dune.ufl import Space, Constant\n",
    "\n",
    "import dune.fem as fem\n",
    "import dune.create as create\n",
    "from dune.generator import algorithm\n",
    "from dune.common import FieldVector\n",
    "from dune.grid import cartesianDomain, Marker\n",
    "from dune.fem.function import levelFunction, gridFunction\n",
    "from dune.fem import integrate\n",
    "from dune.plotting import plotPointData as plot\n",
    "\n",
    "from limit import createOrderRedcution, createLimiter\n",
    "\n",
    "fem.threading.use = 4"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ed1b9124",
   "metadata": {},
   "source": [
    "Some parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "12d92d6a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:30:54.271980Z",
     "iopub.status.busy": "2024-02-29T12:30:54.271667Z",
     "iopub.status.idle": "2024-02-29T12:30:54.276010Z",
     "shell.execute_reply": "2024-02-29T12:30:54.275347Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "maxLevel  = 3\n",
    "maxOrder  = 3\n",
    "dt        = 5.\n",
    "endTime   = 800.\n",
    "coupled   = False\n",
    "tolerance = 3e-2\n",
    "penalty   = 5 * (maxOrder * ( maxOrder + 1 ))\n",
    "newtonParameters = {\"tolerance\": tolerance,\n",
    "                    \"verbose\": \"false\", \"linear.verbose\": \"false\",\n",
    "                    \"linabstol\": 1e-8, \"reduction\": 1e-8}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e448e33",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "# Defining the model\n",
    "using a Brooks Corey pressure law"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "57c71d3d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:30:54.278526Z",
     "iopub.status.busy": "2024-02-29T12:30:54.278297Z",
     "iopub.status.idle": "2024-02-29T12:30:54.284397Z",
     "shell.execute_reply": "2024-02-29T12:30:54.283554Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "def brooksCorey(P,s_n):\n",
    "    s_w = 1-s_n\n",
    "    s_we = (s_w-P.s_wr)/(1.-P.s_wr-P.s_nr)\n",
    "    s_ne = (s_n-P.s_nr)/(1.-P.s_wr-P.s_nr)\n",
    "    if P.useCutOff:\n",
    "        cutOff = lambda a: min_value(max_value(a,0.00001),0.99999)\n",
    "        s_we = cutOff(s_we)\n",
    "        s_ne = cutOff(s_ne)\n",
    "    kr_w = s_we**((2.+3.*P.theta)/P.theta)\n",
    "    kr_n = s_ne**2*(1.-s_we**((2.+P.theta)/P.theta))\n",
    "    p_c  = P.pd*s_we**(-1./P.theta)\n",
    "    dp_c = P.pd * (-1./P.theta) * s_we**(-1./P.theta-1.) * (-1./(1.-P.s_wr-P.s_nr))\n",
    "    l_n  = kr_n / P.mu_n\n",
    "    l_w  = kr_w / P.mu_w\n",
    "    return p_c,dp_c,l_n,l_w"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c30ab8ec",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Constants and domain description for anisotropic lens test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "feabf6e4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:30:54.287334Z",
     "iopub.status.busy": "2024-02-29T12:30:54.286898Z",
     "iopub.status.idle": "2024-02-29T12:30:54.296310Z",
     "shell.execute_reply": "2024-02-29T12:30:54.295486Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "class AnisotropicLens:\n",
    "    dimWorld = 2\n",
    "    domain   = cartesianDomain([0,0.39],[0.9,0.65],[15,4])\n",
    "    x        = SpatialCoordinate(triangle)\n",
    "\n",
    "    g     = [0,]*dimWorld ; g[dimWorld-1] = -9.810 # [m/s^2]\n",
    "    g     = as_vector(g)\n",
    "    r_w   = 1000.  # [Kg/m^3]\n",
    "    mu_w  = 1.e-3  # [Kg/m s]\n",
    "    r_n   = 1460.  # [Kg/m^3]\n",
    "    mu_n  = 9.e-4  # [Kg/m s]\n",
    "\n",
    "    lens = lambda x,a,b: (a-b)*                (conditional(abs(x[1]-0.49)<0.03,1.,0.)*                 conditional(abs(x[0]-0.45)<0.11,1.,0.))                + b\n",
    "\n",
    "    p_c = brooksCorey\n",
    "\n",
    "    Kdiag = lens(x, 6.64*1e-14, 1e-10) # [m^2]\n",
    "    Koff  = lens(x, 0,-5e-11)          # [m^2]\n",
    "    K     = as_matrix( [[Kdiag,Koff],[Koff,Kdiag]] )\n",
    "\n",
    "    Phi   = lens(x, 0.39, 0.40)             # [-]\n",
    "    s_wr  = lens(x, 0.10, 0.12)             # [-]\n",
    "    s_nr  = lens(x, 0.00, 0.00)             # [-]\n",
    "    theta = lens(x, 2.00, 2.70)             # [-]\n",
    "    pd    = lens(x, 5000., 755.)            # [Pa]\n",
    "\n",
    "    #### initial conditions\n",
    "    p_w0 = (0.65-x[1])*9810.       # hydrostatic pressure\n",
    "    s_n0 = 0                       # fully saturated\n",
    "    # boundary conditions\n",
    "    inflow = conditional(abs(x[0]-0.45)<0.06,1.,0.)*             conditional(abs(x[1]-0.65)<1e-8,1.,0.)\n",
    "    J_n  = -5.137*1e-5\n",
    "    J_w  = 1e-20\n",
    "    dirichlet = conditional(abs(x[0])<1e-8,1.,0.) +                conditional(abs(x[0]-0.9)<1e-8,1.,0.)\n",
    "    p_wD = p_w0\n",
    "    s_nD = s_n0\n",
    "\n",
    "    q_n  = 0\n",
    "    q_w  = 0\n",
    "\n",
    "    useCutOff = False\n",
    "\n",
    "P = AnisotropicLens()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "060216e1",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Setup grid, discrete spaces and functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "aeaeb1b0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:30:54.298912Z",
     "iopub.status.busy": "2024-02-29T12:30:54.298667Z",
     "iopub.status.idle": "2024-02-29T12:36:54.660084Z",
     "shell.execute_reply": "2024-02-29T12:36:54.658672Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "grid = create.view(\"adaptive\", \"ALUCube\", P.domain, dimgrid=2)\n",
    "\n",
    "if coupled:\n",
    "    spc          = create.space(\"dglegendrehp\", grid, dimRange=2, order=maxOrder)\n",
    "else:\n",
    "    spc1         = create.space(\"dglegendrehp\", grid, dimRange=1, order=maxOrder)\n",
    "    spc          = create.space(\"product\", spc1,spc1, components=[\"p\",\"s\"] )\n",
    "\n",
    "solution     = spc.interpolate([0,0], name=\"solution\")\n",
    "solution_old = spc.interpolate([0,0], name=\"solution_old\")\n",
    "sol_pm1      = spc.interpolate([0,0], name=\"sol_pm1\")\n",
    "intermediate = spc.interpolate([0,0], name=\"iterate\")\n",
    "persistentDF = [solution,solution_old,intermediate]\n",
    "\n",
    "fvspc        = create.space(\"finitevolume\", grid, dimRange=1, storage=\"numpy\")\n",
    "estimate     = fvspc.interpolate([0], name=\"estimate\")\n",
    "estimate_pm1 = fvspc.interpolate([0], name=\"estimate-pm1\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c49adf74",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "89b7eeaa",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:36:54.664926Z",
     "iopub.status.busy": "2024-02-29T12:36:54.664396Z",
     "iopub.status.idle": "2024-02-29T12:36:54.675381Z",
     "shell.execute_reply": "2024-02-29T12:36:54.674140Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "uflSpace = Space((P.dimWorld,P.dimWorld),2)\n",
    "u        = TrialFunction(uflSpace)\n",
    "v        = TestFunction(uflSpace)\n",
    "cell     = uflSpace.cell()\n",
    "x        = SpatialCoordinate(cell)\n",
    "tau      = Constant(dt, name=\"timeStep\")\n",
    "beta     = Constant(penalty, name=\"penalty\")\n",
    "\n",
    "p_w  = u[0]\n",
    "s_n  = u[1]\n",
    "\n",
    "p_c,dp_c,l_n,l_w = P.p_c(s_n=intermediate[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1145820e",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Bulk terms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ced270bb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:36:54.679404Z",
     "iopub.status.busy": "2024-02-29T12:36:54.678871Z",
     "iopub.status.idle": "2024-02-29T12:36:54.689687Z",
     "shell.execute_reply": "2024-02-29T12:36:54.688456Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "dBulk_p  = P.K*( (l_n+l_w)*grad(p_w) + l_n*dp_c*grad(s_n) )\n",
    "dBulk_p += -P.K*( (P.r_n*l_n+P.r_w*l_w)*P.g )\n",
    "bulk_p   = -(P.q_w+P.q_n)\n",
    "dBulk_s  = P.K*l_n*dp_c*grad(s_n)\n",
    "dBulk_s += P.K*l_n*(grad(p_w)-P.r_n*P.g)\n",
    "bulk_s   = -P.q_n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c5e5cc07",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Boundary and initial conditions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "df36a387",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:36:54.693814Z",
     "iopub.status.busy": "2024-02-29T12:36:54.693280Z",
     "iopub.status.idle": "2024-02-29T12:36:54.699548Z",
     "shell.execute_reply": "2024-02-29T12:36:54.698302Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "p_D, s_D = P.p_wD, P.s_nD,\n",
    "p_N, s_N = P.J_w+P.J_n, P.J_n\n",
    "p_0, s_0 = P.p_w0, P.s_n0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b862ba13",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Bulk integrals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a8a97cc3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:36:54.703807Z",
     "iopub.status.busy": "2024-02-29T12:36:54.703042Z",
     "iopub.status.idle": "2024-02-29T12:36:54.714187Z",
     "shell.execute_reply": "2024-02-29T12:36:54.712932Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "form_p = ( inner(dBulk_p,grad(v[0])) + bulk_p*v[0] ) * dx\n",
    "form_s = ( inner(dBulk_s,grad(v[1])) + bulk_s*v[1] ) * dx"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e87d8879",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Boundary fluxes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "68ada3bb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:36:54.720206Z",
     "iopub.status.busy": "2024-02-29T12:36:54.719666Z",
     "iopub.status.idle": "2024-02-29T12:36:54.728081Z",
     "shell.execute_reply": "2024-02-29T12:36:54.726798Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "form_p += p_N * v[0] * P.inflow * ds\n",
    "form_s += s_N * v[1] * P.inflow * ds"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd2a58e7",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "DG terms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "6c70e378",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:36:54.733924Z",
     "iopub.status.busy": "2024-02-29T12:36:54.733374Z",
     "iopub.status.idle": "2024-02-29T12:36:54.743921Z",
     "shell.execute_reply": "2024-02-29T12:36:54.742634Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "def sMax(a): return max_value(a('+'), a('-'))\n",
    "n         = FacetNormal(cell)\n",
    "hT        = MaxCellEdgeLength(cell)\n",
    "he        = avg( CellVolume(cell) ) / FacetArea(cell)\n",
    "heBnd     = CellVolume(cell) / FacetArea(cell)\n",
    "k         = dot(P.K*n,n)\n",
    "lambdaMax = k('+')*k('-')/avg(k)\n",
    "def wavg(z): return (k('-')*z('+')+k('+')*z('-'))/(k('+')+k('-'))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "af48685a",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Penalty terms (including dirichlet boundary treatment)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "24e1289e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:36:54.749749Z",
     "iopub.status.busy": "2024-02-29T12:36:54.749214Z",
     "iopub.status.idle": "2024-02-29T12:36:54.770255Z",
     "shell.execute_reply": "2024-02-29T12:36:54.768955Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "p_c0,dp_c0,l_n0,l_w0 = P.p_c(0.5)\n",
    "penalty_p = [beta*lambdaMax*sMax(l_n0+l_w0),\n",
    "             beta*k*(l_n0+l_w0)]\n",
    "penalty_s = [beta*lambdaMax*sMax(l_n0*dp_c0),\n",
    "             beta*k*(l_n0*dp_c0)]\n",
    "form_p += penalty_p[0]/he * jump(u[0])*jump(v[0]) * dS\n",
    "form_s += penalty_s[0]/he * jump(u[1])*jump(v[1]) * dS\n",
    "form_p += penalty_p[1]/heBnd * (u[0]-p_D) * v[0] * P.dirichlet * ds\n",
    "form_s += penalty_s[1]/heBnd * (u[1]-s_D) * v[1] * P.dirichlet * ds"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9776562",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Consistency terms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "aad0b5ef",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:36:54.776399Z",
     "iopub.status.busy": "2024-02-29T12:36:54.775841Z",
     "iopub.status.idle": "2024-02-29T12:36:54.799046Z",
     "shell.execute_reply": "2024-02-29T12:36:54.797782Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "form_p -= inner(wavg(dBulk_p),n('+')) * jump(v[0]) * dS\n",
    "form_s -= inner(wavg(dBulk_s),n('+')) * jump(v[1]) * dS\n",
    "form_p -= inner(dBulk_p,n) * v[0] * P.dirichlet * ds\n",
    "form_s -= inner(dBulk_s,n) * v[1] * P.dirichlet * ds"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f19956b",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "# Time discretization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "114ea6e5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:36:54.805217Z",
     "iopub.status.busy": "2024-02-29T12:36:54.804657Z",
     "iopub.status.idle": "2024-02-29T12:36:54.816831Z",
     "shell.execute_reply": "2024-02-29T12:36:54.815531Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "form_s = P.Phi*(u[1]-solution_old[1])*v[1] * dx + tau*form_s"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b1981ee5",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "# Stabilization (Limiter)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "5a1a9e68",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:36:54.825271Z",
     "iopub.status.busy": "2024-02-29T12:36:54.824713Z",
     "iopub.status.idle": "2024-02-29T12:37:25.011600Z",
     "shell.execute_reply": "2024-02-29T12:37:25.009975Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "limiter = createLimiter( spc, limiter=\"scaling\" )\n",
    "tmp = solution.copy()\n",
    "def limit(target):\n",
    "    tmp.assign(target)\n",
    "    limiter(tmp,target)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e16ec73a",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Time stepping\n",
    "Converting UFL forms to scheme"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "2a9b4783",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:37:25.018336Z",
     "iopub.status.busy": "2024-02-29T12:37:25.017803Z",
     "iopub.status.idle": "2024-02-29T12:38:37.954927Z",
     "shell.execute_reply": "2024-02-29T12:38:37.953116Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "if coupled:\n",
    "    form = form_s + form_p\n",
    "    tpModel = create.model( \"integrands\", grid, form == 0)\n",
    "    # tpModel.penalty  = penalty\n",
    "    # tpModel.timeStep = dt\n",
    "    scheme = create.scheme(\"galerkin\", tpModel, spc, (\"suitesparse\",\"umfpack\"),\n",
    "                     parameters={\"newton.\" + k: v for k, v in newtonParameters.items()})\n",
    "else:\n",
    "    uflSpace1 = Space((P.dimWorld,P.dimWorld),1)\n",
    "    u1        = TrialFunction(uflSpace1)\n",
    "    v1        = TestFunction(uflSpace1)\n",
    "    form_p = replace(form_p, { u:as_vector([u1[0],intermediate.s[0]]),\n",
    "                             v:as_vector([v1[0],0.]) } )\n",
    "    form_s = replace(form_s, { u:as_vector([solution[0],u1[0]]),\n",
    "                             intermediate:as_vector([solution[0],intermediate[1]]),\n",
    "                             v:as_vector([0.,v1[0]]) } )\n",
    "    form = [form_p,form_s]\n",
    "    tpModel = [create.model( \"integrands\", grid, form[0] == 0),\n",
    "               create.model( \"integrands\", grid, form[1] == 0)]\n",
    "    # tpModel[0].penalty  = penalty\n",
    "    # tpModel[1].penalty  = penalty\n",
    "    # tpModel[1].timeStep = dt\n",
    "    scheme = [create.scheme(\"galerkin\", m, s, (\"suitesparse\",\"umfpack\"),\n",
    "                     parameters={\"newton.\" + k: v for k, v in newtonParameters.items()})\n",
    "                for m,s in zip(tpModel,spc.components)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "704ed3d6",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Stopping condition for iterative approaches"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "b95fb555",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:38:37.961427Z",
     "iopub.status.busy": "2024-02-29T12:38:37.960904Z",
     "iopub.status.idle": "2024-02-29T12:38:37.969286Z",
     "shell.execute_reply": "2024-02-29T12:38:37.967745Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "def errorMeasure(w,dw):\n",
    "    rel = integrate([w[1]**2,dw[1]**2], order=5, gridView=grid)\n",
    "    return numpy.sqrt(rel[1]) < tolerance * numpy.sqrt(rel[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "07287e6c",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "# Iterative schemes (iterative or impes-iterative)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "4aac5bf2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:38:37.974997Z",
     "iopub.status.busy": "2024-02-29T12:38:37.974493Z",
     "iopub.status.idle": "2024-02-29T12:38:37.983886Z",
     "shell.execute_reply": "2024-02-29T12:38:37.982444Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "def step():\n",
    "    n = 0\n",
    "    solution_old.assign(solution)\n",
    "    while True:\n",
    "        intermediate.assign(solution)\n",
    "        if coupled:\n",
    "            scheme.solve(target=solution)\n",
    "        else:\n",
    "            scheme[0].solve(target=solution.p)\n",
    "            scheme[1].solve(target=solution.s)\n",
    "        limit(solution)\n",
    "        n += 1\n",
    "        # print(\"step\",n,flush=True)\n",
    "        if errorMeasure(solution,solution-intermediate) or n==20:\n",
    "            break"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cbb1f35e",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    ".. index:: Adaptation; hp-Adaptation\n",
    "\n",
    "# HP Adpativity\n",
    "\n",
    "Setting up residual indicator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "cb4a4c48",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:38:37.989418Z",
     "iopub.status.busy": "2024-02-29T12:38:37.988921Z",
     "iopub.status.idle": "2024-02-29T12:39:24.971512Z",
     "shell.execute_reply": "2024-02-29T12:39:24.970007Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "uflSpace0 = Space((P.dimWorld,P.dimWorld),1)\n",
    "v0        = TestFunction(uflSpace0)\n",
    "\n",
    "Rvol = P.Phi*(u[1]-solution_old[1])/tau - div(dBulk_s) - bulk_s\n",
    "estimator = hT**2 * Rvol**2 * v0[0] * dx +      he * inner(jump(dBulk_s), n('+'))**2 * avg(v0[0]) * dS +      heBnd * (s_N + inner(dBulk_s,n))**2 * v0[0] * P.inflow * ds +      penalty_s[0]**2/he * jump(u[1])**2 * avg(v0[0]) * dS +      penalty_s[1]**2/heBnd * (s_D - u[1])**2 * v0[0] * P.dirichlet * ds\n",
    "estimator = replace(estimator, {intermediate:u})\n",
    "\n",
    "estimatorModel = create.model(\"integrands\", grid, estimator == 0)\n",
    "# estimatorModel.timeStep = dt\n",
    "# estimatorModel.penalty  = penalty\n",
    "estimator = create.operator(\"galerkin\", estimatorModel, spc, fvspc)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "afd5c6c5",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    ".. index:: Adaptation; Marking for h-Adaptation\n",
    "\n",
    "# Marker for grid adaptivity (h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "166c8fd0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:39:24.977148Z",
     "iopub.status.busy": "2024-02-29T12:39:24.976897Z",
     "iopub.status.idle": "2024-02-29T12:39:24.982782Z",
     "shell.execute_reply": "2024-02-29T12:39:24.981780Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "hTol = 1e-16                           # changed later\n",
    "def markh(element):\n",
    "    center = element.geometry.referenceElement.center\n",
    "    eta    = estimate.localFunction(element).evaluate(center)[0]\n",
    "    if eta > hTol and element.level < maxLevel:\n",
    "      return Marker.refine\n",
    "    elif eta < 0.01*hTol:\n",
    "      return Marker.coarsen\n",
    "    else:\n",
    "      return Marker.keep"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6364be88",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    ".. index:: Adaptation; Marking for p-Adaptation\n",
    "\n",
    "# Marker for space adaptivity (p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "2c5ed943",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:39:24.985866Z",
     "iopub.status.busy": "2024-02-29T12:39:24.985626Z",
     "iopub.status.idle": "2024-02-29T12:39:24.991627Z",
     "shell.execute_reply": "2024-02-29T12:39:24.990597Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "pTol = 1e-16\n",
    "def markp(element):\n",
    "    center = element.geometry.referenceElement.center\n",
    "    r      = estimate.localFunction(element).evaluate(center)[0]\n",
    "    r_p1   = estimate_pm1.localFunction(element).evaluate(center)[0]\n",
    "    eta = abs(r-r_p1)\n",
    "    polorder = spc.localOrder(element)\n",
    "    if eta < pTol:\n",
    "        return polorder-1 if polorder > 1 else polorder\n",
    "    elif eta > 100.*pTol:\n",
    "        return polorder+1 if polorder < maxOrder else polorder\n",
    "    else:\n",
    "        return polorder"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d35261a1",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Operator for projecting into space with a reduced order on every element"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "45788c28",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:39:24.995896Z",
     "iopub.status.busy": "2024-02-29T12:39:24.995655Z",
     "iopub.status.idle": "2024-02-29T12:39:41.086120Z",
     "shell.execute_reply": "2024-02-29T12:39:41.084823Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "orderreduce  = createOrderRedcution( spc )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "16cab1ee",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "# Main program\n",
    "\n",
    "Pre adapt the grid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "434b6bac",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:39:41.091411Z",
     "iopub.status.busy": "2024-02-29T12:39:41.091169Z",
     "iopub.status.idle": "2024-02-29T12:41:29.930960Z",
     "shell.execute_reply": "2024-02-29T12:41:29.929884Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pre adaptive ( 0 ):  240\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pre adaptive ( 1 ):  231\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pre adaptive ( 2 ):  363\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "final pre adaptive ( 2 ):  5.0 273\n"
     ]
    }
   ],
   "source": [
    "hgrid = grid.hierarchicalGrid\n",
    "hgrid.globalRefine(1)\n",
    "for i in range(maxLevel):\n",
    "    print(\"pre adaptive (\",i,\"): \",grid.size(0),end=\"\\n\")\n",
    "    solution.interpolate( as_vector([p_0,s_0]) )\n",
    "    limit(solution)\n",
    "    step()\n",
    "    estimator(solution, estimate)\n",
    "    hgrid.mark(markh)\n",
    "    fem.adapt(persistentDF)\n",
    "\n",
    "print(\"final pre adaptive (\",i,\"): \",dt,grid.size(0),end=\"\\n\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "57d6988c",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Define the constant for the h adaptivity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "cf52e198",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:41:29.934992Z",
     "iopub.status.busy": "2024-02-29T12:41:29.934776Z",
     "iopub.status.idle": "2024-02-29T12:41:29.974409Z",
     "shell.execute_reply": "2024-02-29T12:41:29.973075Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using timeTol =  3.216131221875019e-15\n"
     ]
    }
   ],
   "source": [
    "solution.interpolate( as_vector([p_0,s_0]) )\n",
    "limit(solution)\n",
    "estimator(solution, estimate)\n",
    "timeTol = sum(estimate.dofVector) / endTime\n",
    "print('Using timeTol = ',timeTol, end='\\n')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe576240",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Time loop"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "2d209ccc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:41:29.978432Z",
     "iopub.status.busy": "2024-02-29T12:41:29.978239Z",
     "iopub.status.idle": "2024-02-29T12:46:36.529262Z",
     "shell.execute_reply": "2024-02-29T12:46:36.528108Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5.0 240 0.0 5.890350223214321e-17 # timestep\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 750x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100.0 363 0.0 4.46684891927086e-17 # timestep\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 750x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "200.0 498 0.0 3.248617395833353e-17 # timestep\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 750x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "300.0 582 0.0 2.748830104166683e-17 # timestep\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 750x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "400.0 669 0.0 2.4145129293356e-17 # timestep\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 750x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "500.0 774 0.0 2.0856882113326973e-17 # timestep\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 750x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "600.0 885 0.0 1.8232036405187182e-17 # timestep\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 750x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "700.0 1017 0.0 1.585863521634625e-17 # timestep\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 750x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "800.0 1134 0.0 1.4255900806183596e-17 # timestep\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 750x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = 0\n",
    "saveStep = 0\n",
    "while t < endTime:\n",
    "    step()\n",
    "\n",
    "    # h adaptivity\n",
    "    hTol = timeTol * dt / grid.size(0)\n",
    "    estimator(solution, estimate)\n",
    "    hgrid.mark(markh)\n",
    "    fem.adapt(persistentDF)\n",
    "\n",
    "    # p adaptivity\n",
    "    estimator(solution, estimate)\n",
    "    orderreduce(solution,sol_pm1)\n",
    "    estimator(sol_pm1, estimate_pm1)\n",
    "    fem.spaceAdapt(spc, markp, persistentDF)\n",
    "    t += dt\n",
    "\n",
    "    if t>=saveStep:\n",
    "        print(t,grid.size(0),sum(estimate.dofVector),hTol,\"# timestep\",flush=True)\n",
    "        plot(solution[1],figsize=(15,4))\n",
    "        saveStep += 100"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76551081",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "Postprocessing\n",
    "Show solution along a given line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "fee15367",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:46:36.534380Z",
     "iopub.status.busy": "2024-02-29T12:46:36.534163Z",
     "iopub.status.idle": "2024-02-29T12:46:53.529179Z",
     "shell.execute_reply": "2024-02-29T12:46:53.528467Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f8d9dbbceb0>]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 320x240 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0 = FieldVector([0.25,  0.65])\n",
    "x1 = FieldVector([0.775, 0.39])\n",
    "p,v = algorithm.run('sample', 'utility.hh', solution, x0, x1, 1000)\n",
    "\n",
    "x = numpy.zeros(len(p))\n",
    "y = numpy.zeros(len(p))\n",
    "l = (x1-x0).two_norm\n",
    "for i in range(len(x)):\n",
    "    x[i] = (p[i]-x0).two_norm / l\n",
    "    y[i] = v[i][1]\n",
    "pyplot.plot(x,y)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9e0d956",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "626ffedc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:46:53.534589Z",
     "iopub.status.busy": "2024-02-29T12:46:53.534363Z",
     "iopub.status.idle": "2024-02-29T12:47:23.146394Z",
     "shell.execute_reply": "2024-02-29T12:47:23.145215Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 750x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 750x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 750x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 750x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from dune.fem.function import levelFunction\n",
    "@gridFunction(gridView=grid,name=\"polOrder\",order=0)\n",
    "def polOrder(e,x):\n",
    "    return [spc.localOrder(e)]\n",
    "plot(solution[0],figsize=(15,4))\n",
    "plot(solution[1],figsize=(15,4))\n",
    "plot(polOrder,figsize=(15,4))\n",
    "plot(levelFunction(grid),figsize=(15,4))"
   ]
  }
 ],
 "metadata": {
  "jupytext": {
   "cell_metadata_filter": "-all"
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}