{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Cavity flow with Navier-Stokes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The final two steps will both solve the Navier–Stokes equations in two dimensions, but with different boundary conditions.\n", "\n", "The momentum equation in vector form for a velocity field v⃗ \n", "\n", "is:\n", "\n", "$$ \\frac{\\partial \\overrightarrow{v}}{\\partial t} + (\\overrightarrow{v} \\cdot \\nabla ) \\overrightarrow{v} = -\\frac{1}{\\rho}\\nabla p + \\nu \\nabla^2 \\overrightarrow{v}$$\n", "\n", "This represents three scalar equations, one for each velocity component (u,v,w). But we will solve it in two dimensions, so there will be two scalar equations.\n", "\n", "Remember the continuity equation? This is where the Poisson equation for pressure comes in!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is the system of differential equations: two equations for the velocity components u,v and one equation for pressure:\n", "\n", "$$ \\frac{\\partial u}{\\partial t} + u \\frac{\\partial u}{\\partial x} + v \\frac{\\partial u}{\\partial y}= -\\frac{1}{\\rho}\\frac{\\partial p}{\\partial x} + \\nu \\left[ \\frac{\\partial^2 u}{\\partial x^2} +\\frac{\\partial^2 u}{\\partial y^2} \\right] $$\n", "\n", "$$ \\frac{\\partial v}{\\partial t} + u \\frac{\\partial v}{\\partial x} + v \\frac{\\partial v}{\\partial y}= -\\frac{1}{\\rho}\\frac{\\partial p}{\\partial y} + \\nu \\left[ \\frac{\\partial^2 v}{\\partial x^2} +\\frac{\\partial^2 v}{\\partial y^2} \\right] $$\n", "\n", "$$\n", "\\frac{\\partial^2 p}{\\partial x^2} +\\frac{\\partial^2 p}{\\partial y^2} =\n", "\\rho \\left[\\frac{\\partial}{\\partial t} \\left(\\frac{\\partial u}{\\partial x} + \\frac{\\partial v}{\\partial y} \\right) - \\left(\\frac{\\partial u}{\\partial x}\\frac{\\partial u}{\\partial x}+2\\frac{\\partial u}{\\partial y}\\frac{\\partial v}{\\partial x}+\\frac{\\partial v}{\\partial y}\\frac{\\partial v}{\\partial y} \\right) \\right]\n", "$$\n", "\n", "From the previous steps, we already know how to discretize all these terms. Only the last equation is a little unfamiliar. But with a little patience, it will not be hard!\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our stencils look like this:\n", "First the momentum equation in the u direction\n", "$$\n", "\\begin{split}\n", "u_{i,j}^{n+1} = u_{i,j}^{n} & - u_{i,j}^{n} \\frac{\\Delta t}{\\Delta x} \\left(u_{i,j}^{n}-u_{i-1,j}^{n}\\right) - v_{i,j}^{n} \\frac{\\Delta t}{\\Delta y} \\left(u_{i,j}^{n}-u_{i,j-1}^{n}\\right) \\\\\n", "& - \\frac{\\Delta t}{\\rho 2\\Delta x} \\left(p_{i+1,j}^{n}-p_{i-1,j}^{n}\\right) \\\\\n", "& + \\nu \\left(\\frac{\\Delta t}{\\Delta x^2} \\left(u_{i+1,j}^{n}-2u_{i,j}^{n}+u_{i-1,j}^{n}\\right) + \\frac{\\Delta t}{\\Delta y^2} \\left(u_{i,j+1}^{n}-2u_{i,j}^{n}+u_{i,j-1}^{n}\\right)\\right)\n", "\\end{split}\n", "$$\n", "Second the momentum equation in the v direction\n", "$$\n", "\\begin{split}\n", "v_{i,j}^{n+1} = v_{i,j}^{n} & - u_{i,j}^{n} \\frac{\\Delta t}{\\Delta x} \\left(v_{i,j}^{n}-v_{i-1,j}^{n}\\right) - v_{i,j}^{n} \\frac{\\Delta t}{\\Delta y} \\left(v_{i,j}^{n}-v_{i,j-1}^{n})\\right) \\\\\n", "& - \\frac{\\Delta t}{\\rho 2\\Delta y} \\left(p_{i,j+1}^{n}-p_{i,j-1}^{n}\\right) \\\\\n", "& + \\nu \\left(\\frac{\\Delta t}{\\Delta x^2} \\left(v_{i+1,j}^{n}-2v_{i,j}^{n}+v_{i-1,j}^{n}\\right) + \\frac{\\Delta t}{\\Delta y^2} \\left(v_{i,j+1}^{n}-2v_{i,j}^{n}+v_{i,j-1}^{n}\\right)\\right)\n", "\\end{split}\n", "$$\n", "Finally the pressure-Poisson equation\n", "$$\\begin{split}\n", "p_{i,j}^{n} = & \\frac{\\left(p_{i+1,j}^{n}+p_{i-1,j}^{n}\\right) \\Delta y^2 + \\left(p_{i,j+1}^{n}+p_{i,j-1}^{n}\\right) \\Delta x^2}{2\\left(\\Delta x^2+\\Delta y^2\\right)} \\\\\n", "& -\\frac{\\rho\\Delta x^2\\Delta y^2}{2\\left(\\Delta x^2+\\Delta y^2\\right)} \\\\\n", "& \\times \\left[\\frac{1}{\\Delta t}\\left(\\frac{u_{i+1,j}-u_{i-1,j}}{2\\Delta x}+\\frac{v_{i,j+1}-v_{i,j-1}}{2\\Delta y}\\right)-\\frac{u_{i+1,j}-u_{i-1,j}}{2\\Delta x}\\frac{u_{i+1,j}-u_{i-1,j}}{2\\Delta x}\\right. \\\\ \n", "& \\left. -2\\frac{u_{i,j+1}-u_{i,j-1}}{2\\Delta y}\\frac{v_{i+1,j}-v_{i-1,j}}{2\\Delta x}-\\frac{v_{i,j+1}-v_{i,j-1}}{2\\Delta y}\\frac{v_{i,j+1}-v_{i,j-1}}{2\\Delta y} \\right] \n", "\\end{split}\n", "$$\n", "\n", "The initial condition is $u,v,p=0$\n", "\n", "everywhere, and the boundary conditions are:\n", "\n", "$u=1$ at $y=1$ (the \"lid\");\n", "\n", "$u,v=0$ on the other boundaries;\n", "\n", "$\\frac{\\partial p}{\\partial y}=0$ at $y=0,1$;\n", "\n", "$\\frac{\\partial p}{\\partial x}=0$ at $x=0,1$\n", "\n", "$p=0$ at $(0,0)$\n", "\n", "Interestingly these boundary conditions describe a well known problem in the Computational Fluid Dynamics realm, where it is known as the lid driven square cavity flow problem." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Numpy Implementation" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot, cm\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "nx = 41\n", "ny = 41\n", "nt = 1000\n", "nit = 50\n", "c = 1\n", "dx = 1. / (nx - 1)\n", "dy = 1. / (ny - 1)\n", "x = np.linspace(0, 1, nx)\n", "y = np.linspace(0, 1, ny)\n", "Y, X = np.meshgrid(x, y)\n", "\n", "rho = 1\n", "nu = .1\n", "dt = .001\n", "\n", "u = np.zeros((nx, ny))\n", "v = np.zeros((nx, ny))\n", "p = np.zeros((nx, ny)) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The pressure Poisson equation that's written above can be hard to write out without typos. The function `build_up_b` below represents the contents of the square brackets, so that the entirety of the Poisson pressure equation is slightly more manageable." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def build_up_b(b, rho, dt, u, v, dx, dy):\n", " \n", " b[1:-1, 1:-1] = (rho * (1 / dt * \n", " ((u[2:, 1:-1] - u[0:-2, 1:-1]) / \n", " (2 * dx) + (v[1:-1, 2:] - v[1:-1, 0:-2]) / (2 * dy)) -\n", " ((u[2:, 1:-1] - u[0:-2, 1:-1]) / (2 * dx))**2 -\n", " 2 * ((u[1:-1, 2:] - u[1:-1, 0:-2]) / (2 * dy) *\n", " (v[2:, 1:-1] - v[0:-2, 1:-1]) / (2 * dx))-\n", " ((v[1:-1, 2:] - v[1:-1, 0:-2]) / (2 * dy))**2))\n", "\n", " return b" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function `pressure_poisson` is also defined to help segregate the different rounds of calculations. Note the presence of the pseudo-time variable nit. This sub-iteration in the Poisson calculation helps ensure a divergence-free field." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def pressure_poisson(p, dx, dy, b):\n", " pn = np.empty_like(p)\n", " pn = p.copy()\n", " \n", " for q in range(nit):\n", " pn = p.copy()\n", " p[1:-1, 1:-1] = (((pn[2:, 1:-1] + pn[0:-2, 1:-1]) * dy**2 + \n", " (pn[1:-1, 2:] + pn[1:-1, 0:-2]) * dx**2) /\n", " (2 * (dx**2 + dy**2)) -\n", " dx**2 * dy**2 / (2 * (dx**2 + dy**2)) * \n", " b[1:-1,1:-1])\n", " \n", " p[-1, :] = p[-2, :] # dp/dx = 0 at x = 2\n", " p[:, 0] = p[:, 1] # dp/dy = 0 at y = 0\n", " p[0, :] = p[1, :] # dp/dx = 0 at x = 0\n", " p[:, -1] = p[:, -2] # p = 0 at y = 2\n", " p[0, 0] = 0 \n", " \n", " return p, pn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, the rest of the cavity flow equations are wrapped inside the function `cavity_flow`, allowing us to easily plot the results of the cavity flow solver for different lengths of time." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def cavity_flow(nt, u, v, dt, dx, dy, p, rho, nu):\n", " un = np.empty_like(u)\n", " vn = np.empty_like(v)\n", " b = np.zeros((nx, ny))\n", " \n", " for n in range(0,nt):\n", " un = u.copy()\n", " vn = v.copy()\n", " \n", " b = build_up_b(b, rho, dt, u, v, dx, dy)\n", " p = pressure_poisson(p, dx, dy, b)[0]\n", " pn = pressure_poisson(p, dx, dy, b)[1]\n", " \n", " u[1:-1, 1:-1] = (un[1:-1, 1:-1]-\n", " un[1:-1, 1:-1] * dt / dx *\n", " (un[1:-1, 1:-1] - un[0:-2, 1:-1]) -\n", " vn[1:-1, 1:-1] * dt / dy *\n", " (un[1:-1, 1:-1] - un[1:-1, 0:-2]) -\n", " dt / (2 * rho * dx) * (p[2:, 1:-1] - p[0:-2, 1:-1]) +\n", " nu * (dt / dx**2 *\n", " (un[2:, 1:-1] - 2 * un[1:-1, 1:-1] + un[0:-2, 1:-1]) +\n", " dt / dy**2 *\n", " (un[1:-1, 2:] - 2 * un[1:-1, 1:-1] + un[1:-1, 0:-2])))\n", "\n", " v[1:-1,1:-1] = (vn[1:-1, 1:-1] -\n", " un[1:-1, 1:-1] * dt / dx *\n", " (vn[1:-1, 1:-1] - vn[0:-2, 1:-1]) -\n", " vn[1:-1, 1:-1] * dt / dy *\n", " (vn[1:-1, 1:-1] - vn[1:-1, 0:-2]) -\n", " dt / (2 * rho * dy) * (p[1:-1, 2:] - p[1:-1, 0:-2]) +\n", " nu * (dt / dx**2 *\n", " (vn[2:, 1:-1] - 2 * vn[1:-1, 1:-1] + vn[0:-2, 1:-1]) +\n", " dt / dy**2 *\n", " (vn[1:-1, 2:] - 2 * vn[1:-1, 1:-1] + vn[1:-1, 0:-2])))\n", "\n", " u[:, 0] = 0\n", " u[0, :] = 0\n", " u[-1, :] = 0\n", " u[:, -1] = 1 # Set velocity on cavity lid equal to 1\n", " \n", " v[:, 0] = 0\n", " v[:, -1] = 0\n", " v[0, :] = 0\n", " v[-1, :] = 0\n", " \n", " return u, v, p, pn" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "u = np.zeros((nx, ny))\n", "v = np.zeros((nx, ny))\n", "p = np.zeros((nx, ny))\n", "b = np.zeros((nx, ny))\n", "nt = 1000\n", "# Store the output velocity and pressure fields in the variables a, b and c.\n", "# This is so they do not clash with the devito outputs below.\n", "a, b, c, d = cavity_flow(nt, u, v, dt, dx, dy, p, rho, nu)\n", "\n", "fig = pyplot.figure(figsize=(11, 7), dpi=100)\n", "pyplot.contourf(X, Y, c, alpha=0.5, cmap=cm.viridis)\n", "pyplot.colorbar()\n", "pyplot.contour(X, Y, c, cmap=cm.viridis)\n", "pyplot.quiver(X[::2, ::2], Y[::2, ::2], a[::2, ::2], b[::2, ::2])\n", "pyplot.xlabel('X')\n", "pyplot.ylabel('Y');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Validation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Marchi et al (2009)$^1$ compared numerical implementations of the lid driven cavity problem with their solution on a 1024 x 1024 nodes grid. We will compare a solution using both NumPy and Devito with the results of their paper below.\n", "\n", "1. https://www.scielo.br/scielo.php?pid=S1678-58782009000300004&script=sci_arttext" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Import u values at x=L/2 (table 6, column 2 rows 12-26) in Marchi et al.\n", "Marchi_Re10_u = np.array([[0.0625, -3.85425800e-2],\n", " [0.125, -6.96238561e-2],\n", " [0.1875, -9.6983962e-2],\n", " [0.25, -1.22721979e-1],\n", " [0.3125, -1.47636199e-1],\n", " [0.375, -1.71260757e-1],\n", " [0.4375, -1.91677043e-1],\n", " [0.5, -2.05164738e-1],\n", " [0.5625, -2.05770198e-1],\n", " [0.625, -1.84928116e-1],\n", " [0.6875, -1.313892353e-1],\n", " [0.75, -3.1879308e-2],\n", " [0.8125, 1.26912095e-1],\n", " [0.875, 3.54430364e-1],\n", " [0.9375, 6.50529292e-1]])\n", "# Import v values at y=L/2 (table 6, column 2 rows 27-41) in Marchi et al.\n", "Marchi_Re10_v = np.array([[0.0625, 9.2970121e-2],\n", " [0.125, 1.52547843e-1],\n", " [0.1875, 1.78781456e-1],\n", " [0.25, 1.76415100e-1],\n", " [0.3125, 1.52055820e-1],\n", " [0.375, 1.121477612e-1],\n", " [0.4375, 6.21048147e-2],\n", " [0.5, 6.3603620e-3],\n", " [0.5625,-5.10417285e-2],\n", " [0.625, -1.056157259e-1],\n", " [0.6875,-1.51622101e-1],\n", " [0.75, -1.81633561e-1],\n", " [0.8125,-1.87021651e-1],\n", " [0.875, -1.59898186e-1],\n", " [0.9375,-9.6409942e-2]])" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "# Check results with Marchi et al 2009.\n", "npgrid=[nx,ny]\n", "\n", "x_coord = np.linspace(0, 1, npgrid[0])\n", "y_coord = np.linspace(0, 1, npgrid[1])\n", "\n", "fig = pyplot.figure(figsize=(12, 6))\n", "ax1 = fig.add_subplot(121)\n", "ax1.plot(a[int(npgrid[0]/2),:],y_coord[:])\n", "ax1.plot(Marchi_Re10_u[:,1],Marchi_Re10_u[:,0],'ro')\n", "ax1.set_xlabel('$u$')\n", "ax1.set_ylabel('$y$')\n", "ax1 = fig.add_subplot(122)\n", "ax1.plot(x_coord[:],b[:,int(npgrid[1]/2)])\n", "ax1.plot(Marchi_Re10_v[:,0],Marchi_Re10_v[:,1],'ro')\n", "ax1.set_xlabel('$x$')\n", "ax1.set_ylabel('$v$')\n", "\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Devito Implementation" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from devito import Grid\n", "\n", "grid = Grid(shape=(nx, ny), extent=(1., 1.))\n", "x, y = grid.dimensions\n", "t = grid.stepping_dim" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reminder: here are our equations\n", "\n", "$$ \\frac{\\partial u}{\\partial t} + u \\frac{\\partial u}{\\partial x} + v \\frac{\\partial u}{\\partial y}= -\\frac{1}{\\rho}\\frac{\\partial p}{\\partial x} + \\nu \\left[ \\frac{\\partial^2 u}{\\partial x^2} +\\frac{\\partial^2 u}{\\partial y^2} \\right] $$\n", "\n", "$$ \\frac{\\partial v}{\\partial t} + u \\frac{\\partial v}{\\partial x} + v \\frac{\\partial v}{\\partial y}= -\\frac{1}{\\rho}\\frac{\\partial p}{\\partial y} + \\nu \\left[ \\frac{\\partial^2 v}{\\partial x^2} +\\frac{\\partial^2 v}{\\partial y^2} \\right] $$\n", "\n", "$$\n", "\\frac{\\partial^2 p}{\\partial x^2} +\\frac{\\partial^2 p}{\\partial y^2} =\n", "\\rho \\left[\\frac{\\partial}{\\partial t} \\left(\\frac{\\partial u}{\\partial x} + \\frac{\\partial v}{\\partial y} \\right) - \\left(\\frac{\\partial u}{\\partial x}\\frac{\\partial u}{\\partial x}+2\\frac{\\partial u}{\\partial y}\\frac{\\partial v}{\\partial x}+\\frac{\\partial v}{\\partial y}\\frac{\\partial v}{\\partial y} \\right) \\right]\n", "$$\n", "\n", "Note that p has no time dependence, so we are going to solve for p in pseudotime then move to the next time step and solve for u and v. This will require two operators, one for p (using p and pn) in pseudotime and one for u and v in time.\n", "\n", "As shown in the Poisson equation tutorial, a TimeFunction can be used despite the lack of a time-dependence. This will cause Devito to allocate two grid buffers, which we can addressed directly via the terms pn and pn.forward. The internal time loop can be controlled by supplying the number of pseudotime steps (iterations) as a time argument to the operator.\n", "\n", "The time steps are advanced through a Python loop where a separator operator calculates u and v." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Also note that we need to use first order spatial derivatives for the velocites and these derivatives are not the maximum spatial derivative order (2nd order) in these equations. This is the first time we have seen this in this tutorial series (previously we have only used a single spatial derivate order). \n", "\n", " To use a first order derivative of a devito function, we use the syntax `function.dxc` or `function.dyc` for the x and y derivatives respectively." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "from devito import TimeFunction, Function, \\\n", "Eq, solve, Operator, configuration\n", "\n", "# Build Required Functions and derivatives:\n", "# --------------------------------------\n", "# |Variable | Required Derivatives |\n", "# --------------------------------------\n", "# | u | dt, dx, dy, dx**2, dy**2 |\n", "# | v | dt, dx, dy, dx**2, dy**2 |\n", "# | p | dx, dy, dx**2, dy**2 |\n", "# | pn | dx, dy, dx**2, dy**2 |\n", "# --------------------------------------\n", "u = TimeFunction(name='u', grid=grid, space_order=2)\n", "v = TimeFunction(name='v', grid=grid, space_order=2)\n", "p = TimeFunction(name='p', grid=grid, space_order=2)\n", "#Variables are automatically initalized at 0.\n", "\n", "# First order derivatives will be handled with p.dxc\n", "eq_u =Eq(u.dt + u*u.dx + v*u.dy, -1./rho * p.dxc + nu*(u.laplace), subdomain=grid.interior)\n", "eq_v =Eq(v.dt + u*v.dx + v*v.dy, -1./rho * p.dyc + nu*(v.laplace), subdomain=grid.interior)\n", "eq_p =Eq(p.laplace,rho*(1./dt*(u.dxc+v.dyc)-(u.dxc*u.dxc)+2*(u.dyc*v.dxc)+(v.dyc*v.dyc)), subdomain=grid.interior)\n", "\n", "# NOTE: Pressure has no time dependence so we solve for the other pressure buffer.\n", "stencil_u =solve(eq_u , u.forward)\n", "stencil_v =solve(eq_v , v.forward)\n", "stencil_p=solve(eq_p, p)\n", " \n", "update_u =Eq(u.forward, stencil_u)\n", "update_v =Eq(v.forward, stencil_v)\n", "update_p =Eq(p.forward, stencil_p) \n", "\n", "# Boundary Conds. u=v=0 for all sides\n", "bc_u = [Eq(u[t+1, 0, y], 0)] \n", "bc_u += [Eq(u[t+1, nx-1, y], 0)] \n", "bc_u += [Eq(u[t+1, x, 0], 0)] \n", "bc_u += [Eq(u[t+1, x, ny-1], 1)] # except u=1 for y=2\n", "bc_v = [Eq(v[t+1, 0, y], 0)] \n", "bc_v += [Eq(v[t+1, nx-1, y], 0)] \n", "bc_v += [Eq(v[t+1, x, ny-1], 0)] \n", "bc_v += [Eq(v[t+1, x, 0], 0)] \n", "\n", "bc_p = [Eq(p[t+1, 0, y],p[t+1, 1,y])] # dpn/dx = 0 for x=0.\n", "bc_p += [Eq(p[t+1,nx-1, y],p[t+1,nx-2, y])] # dpn/dx = 0 for x=2.\n", "bc_p += [Eq(p[t+1, x, 0],p[t+1,x ,1])] # dpn/dy = 0 at y=0\n", "bc_p += [Eq(p[t+1, x, ny-1],p[t+1, x, ny-2])] # pn=0 for y=2\n", "bc_p += [Eq(p[t+1, 0, 0], 0)]\n", "bc=bc_u+bc_v\n", "\n", "optime=Operator([update_u, update_v]+bc_u+bc_v)\n", "oppres=Operator([update_p]+bc_p)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "code_folding": [], "scrolled": false }, "outputs": [], "source": [ "# Silence non-essential outputs from the solver.\n", "configuration['log-level'] = 'ERROR'\n", "\n", "\n", "# This is the time loop.\n", "for step in range(0,nt):\n", " if step>0:\n", " oppres(time_M = nit)\n", " optime(time_m=step, time_M=step, dt=dt)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "fig = pyplot.figure(figsize=(11,7), dpi=100)\n", "# Plotting the pressure field as a contour.\n", "pyplot.contourf(X, Y, p.data[0], alpha=0.5, cmap=cm.viridis) \n", "pyplot.colorbar()\n", "# Plotting the pressure field outlines.\n", "pyplot.contour(X, Y, p.data[0], cmap=cm.viridis) \n", "# Plotting velocity field.\n", "pyplot.quiver(X[::2,::2], Y[::2,::2], u.data[0,::2,::2], v.data[0,::2,::2]) \n", "pyplot.xlabel('X')\n", "pyplot.ylabel('Y');\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Validation" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZC8Z4HaVPLZibx7Ob9/G9f2zR+UnkNKiQFjkF7Z0+VpU38OLWGl58q4aywJrO+WmD+dT5Y5g3MZ1zcjRcQySSHWrt4KEVFXxgcjpjU3u9iWNEiIkxfnzjdOb/9BW+8th6Hi6aQ2yMhniInCwV0iK91HCojZe21fDCWzW8sq2WA60dxMfGMHvsCD4xN5dLJ6aTM1K9OiL9xaOrdtF8uJ2iC8d5HSUoMocN5Jsfmsz/e3wDv1++k89cONbrSCIRR4W0SA+cc7y19wAvvuXvdV5T2YhzkDokgSunZXDppDTOH5/CoAT9byTS33R0+nhg+U5m5g1nRu5wr+MEzfUzsnhm817+97ltXHVmRu92RhWRd6gCEOniSHsnb+yo54W39vHi1hp2Nx8BYFpmMv9+aT7zJqUxdXQyMboEKtKvPbVxD9VNh/nWNVO8jhJUZsZdH5rCZT95mR/88y1+ecvZXkcSiSgqpCU6FBfDwoXd7uS1t/lIoNd5H8tL6zjS7mPggFguyE/hS5flc8kZaaRprVWRqOGc43cvlzEudRDzJqZ5HSfoskck8dkLx/KLF0u5dU4us8aM8DqSSMRQIS39X3ExFBVBS4v/fkUFvs98hn9u3MO9GbPZsmc/AFnDB3JTQTaXTkpn9pgRJA7QNtwi0ei10nq27NnPPR+dFjVXnz5/8XgeX13Ft5Zu5u9fPF8TD0V6SYW09H8LF75bRAfEHD7M9N/8kEH3/I2vzp/IvElp5KcN1sYEIsLvXtlB6pAErjs70+soITMwPpavXTmJLz68lkdWVVI4O9frSCIRQWtzSb/V6XOsLKvHVVZ2+3jmgTr+/Llz+fzF45iQPkRFtIiweXczr26v47bz8kiIi66rUlefmcGsMSP48TPbaG5p9zqOSERQIS39SqfP8fqOOr7xt03M+cEL3LR4BbuHpHZ7rOVoNy8ROdZ9r5QxKD42KntkzYxvfWgKzYfb+enzb3sdRyQiaGiHRLyOTh8ryhp4etMent28l7qDbSQOiOHSiWlcMTWDkZN+DF/43LHDO5KS/BMORUQCqhpb+PuGPdx2bh7JAwd4HccTk0cP5ZZZOTy0ooKPzc5hQvoQryOJhDUV0hKR2jt9vL6jnn9u3MMzm/fS2NJOUnwsl05M48ppGVx8RipJ8YF/3tNvhbiYHlftEBEB+P3ycgz41Pn9azvwk/WVD5zBPzbs4dt/38wfb5+tYW8i70OFtESMtg4fr+2o4+kNe3h2yz6aD7czKD6Wyyanc8XUDC6akMrA+B7GNBYWqnAWkR4dbuvk0VWVXK1NSRgxKJ4vXz6Bu5Zu5pnN+5g/dZTXkUTClgppCWutHZ0s317HUxv38NyWfRw40sGQhDgun5zOFdMyuCA/RcvUichpe27rPg61dXLTTM2dACicncOfVlay6OktXHxGqs6zIj1QIS1hx+dzrNhZzxOrq3l2814OtHYwNDGOD04ZxZXTRnHe+JSom00vIsH1t7XVZCQnMlubkQAQFxvDXR+azMfuX8n9r5Zxx6X5XkcSCUsqpCVslNcd4ok1VfxlTTXVTYcZkhDH/KmjuOrMDM4dl0J8nBaZEZG+13CojVferuX2C8ZEzQYsvXHu+BQ+OCWd375cRuHsXIYPivc6kkjYUSEtnmo+3M5TG/bwxJoqVlc0EmNwfn4q/z3/DD44ZZQuJ4pI0D21YTcdPsd1Z0XPBiy99V8fOINnt7zCb1/ewdeunOR1HJGwo0JaQq7T53h1ey1PrPEP3Wjt8DE+bTB3XjGR687KZFRyotcRRSSK/HVtNWekD2FSxlCvo4Sd/PQhfPisTJa8Uc7t548hbajOzyJdqZCWkHl73wGeWF3FX9dWU3OglWFJA7hpZjYfPSeLM7OStcSSiIRcZX0Layqb+Or8iV5HCVtfuiyfpet3c++yUr597VSv44iEFRXSElQNh9pYuq6aJ9ZUs7G6mbgY4+Iz0rh+RiaXTEzTpEER8dST66oBuOas0R4nCV+5IwdxQ0E2f3qzks9cOJas4UleRxIJGyqkpc+1dfh4aVsNT6yp4sW3amjvdEzOGMo3r57MNWeNJmVwgtcRRURwzvHXddXMGjOCzChfO/pE/n3eeJ5YU8UvXtjOD6+f7nUckbChQlr6zLa9B3j4zUqWrt9Nw6E2UgYnsGBuHh+dkaWxhyISdjZV76es9hCfuWCs11HCXkbyQD4+O5clb5TzuYvGMfbZJ7VbrAgqpOU0dXT6eG7LPpa8Uc6KsgbiY2O4fHI6H52RyYX5qcTFask6EQlPf1tXTXxsDFdOzfA6SkT4/MXjePjNSl791s8Z++D3oaXF/0BFBRQV+W+rmJYoo0Jauldc/L69DQ2H2nj4zUqKV1Swu/kImcMGcucVE7mpIFtrjYpI2Ov0OZau383FZ6SSnDTA6zgRIXVIAredl8e8mz7xbhF9VEuL/3eGCmmJMiqk5b2Ki/29C930Nmy6+GoefL2cpet309bh49xxI7nrmilcNimdWG1kICIR4vUdddQeaOXDZ2vt6JPx2QvHMWR/XfcPVlaGNoxIGFAhLe+1cGG3vQ01//4Vrv7MMJLiY7mxIItPzM1jQvoQbzKKiJyGv66tZkhiHJdMTPM6SkRJThrA/rQMhtbsfu+DOTmhDyTisZAMYDWz+Wa2zcxKzezObh7PMbNlZrbWzDaY2ZWhyCU96KFXIaWhhm9cPZk3vjaP7103TUW0iESkw22dPLNpL1dM1e6ppyL+h3dzeMBxqy8lJfmHAIpEmaAX0mYWC9wLXAFMBm4xs8nHHfY/wGPOubOBm4FfBzuX9KxtdPeXOi0nm9vPH0PyQI0nFJHI9fzWfRxq6+Q6Des4JYkLbuWNr/6AqqGpODPIzYXFizU+WqJSKIZ2zAJKnXNlAGb2CHAtsKXLMQ44uj5aMtDNNSMJptaOTv6xfg//90Y5uWffxD01v2Jge+u7ByQlYd//vncBRUT6yN/WVjNqaCJzxoz0OkrEOveb/86FidMYmzqIR4rmeh1HxDOhGNqRCezqcr8q0NbVt4CPm1kV8DTwxRDkEqClrYP7XinjvLuX8ZU/r+dgawcFX78Du+8+fy+DehtEpB9pONTGy2/Xcs1Zo4nRBOlTljgglqILx7KirIHVFY1exxHxTLhMNrwFeNA5979mNhd4yMymOud8XQ8ysyKgCCBHkxpOy6HWDh5aUcF9r5RRf6iN88en8NmLpnP++BTMDObmwYJbvY4pItKnntq4hw6f47qzNKzjdN0yK4dfLSvlNy+Vcv+CmV7HEfFEKHqkq4HsLvezAm1d3Q48BuCcewNIBFKOfyHn3GLnXIFzriA1NTVIcfu3g60d3LuslPPveZG7//kWUzKTeeLzc/njp2dzQX6qv4gWkajQi4ngF5rZGjPrMLPrj3tsgZltD3wtCF3q0/Pk2mompA9mUoYmS5+uQQlx3HbuGJ7fWsNbe/d7HUfEE6EopFcB+WY2xszi8U8mXHrcMZXAPAAzm4S/kK4NQbaosf9IO796cTvn3/MiP3pmG9Ozh/GXL5zL/31qFjNyR3gdT0RCrJcTwSuBTwJ/Ou65I4C7gNn458HcZWbDg535dNUfbGV1ZSNXTM1Qp0EfWXBuLoPiY/nNSzu8jiLiiaAP7XDOdZjZHcAzQCzwe+fcZjP7DlDinFsKfAW4z8z+E//Ew08651yws0WD5sPtPPhaOQ8sL2P/kQ7mTUzj3+flMz17mNfRRMRbJ5wI7pwrDzzmO+65HwSec841BB5/DpgPPBz82Kfule21OAeXau3oPjMsKZ6Pzc7hgeU7+crlZ5AzMsnrSCIhFZIx0s65p/FPIuza9s0ut7cA54UiS7Roamnj96+V84fXdnLgSAeXT07nS/PymZqZ7HU0EQkP3U0En30az33PoONwm9fy4lu1pAxOYJrOg33q0xeMZcnrFfz2lR18/8PTvI4jElLhMtlQ+kjjoTYeWL6TB18v52BrB/OnjOKL88YzZbR+cYhIaDnnFgOLAQoKCjy9ytjR6ePlbTV8YMoordbRx9KHJvLRGVk8XlLFf8zLJ21ooteRREJGhXQ/cbC1g9+8VMqDr5XT0t7JlVMz+OK88UwcNfTETxaRaNSbieDv99yLj3vuS32SKkjW7mpi/5EOLjlDwzqC4XMXjeXRVZU8sHwnX7tyktdxREImJFuES/D4fI4nVldxyY9f4t5lO7hkYhrP/MeF3Ft4jopoEXk/vZkI3pNngA+Y2fDAJMMPBNrCS3Ex5OVBTAwTZk/jw1tf4oIJ71kQSvpA7shBXH3maP64ooLmlnav44iEjArpCLZ+VxMf/e3rfOXP68kcNpC//dt5/Opj5zAhXcs6icj7c851AEcngm8FHjs6EdzMrgEws5mBjbJuAH5nZpsDz20Avou/GF8FfOfoxMOwUVwMRUVQUQHOkVyzm7v/9UuGPvGY18n6rc9fPI5DbZ0seaPc6ygiIWORujhGQUGBKykp8TqGJ2oPtPKjZ97isZIqUgYncOcVE/nI2Zka9ycSIcxstXOuwOscoRTyc3Zenr+IPl5uLpSXhy5HlLn9wVWsqWzktTsvJSleo0el/+jpvK0e6QjS1uHjvlfKuPTHL/HXtdV89sKxLPuvi7h+RpaKaBGRriorT65d+sQXLhlPY0s7D7+568QHi/QD+nMxQry0rYbv/GMLZbWHuOSMVL5x9WTGpg72OpaISHjKyem+RzoMluHrz2bkDmf2mBHc90oZt87JJT5O/XXSv+lfeLjoMimGvDz/faC87hCfXrKKT/5hFc7B7z9ZwB9um6UiWkTk/SxaBEnHbQ6SlORvl6D6wiXj2bv/CH9dW+V1FJGgU490ODg6KaalxX+/ogJXVMTf1+/mvwZMZUCscecVE7ntvDwS4mK9zSoiEgkKCwE48t93Er+7mtbRmQz84d3vtEvwXJifwpTRQ7nv1Z3cWJCt7dilX1OPdDhYuPDdIjrAWlo453c/4kPTR7Psvy7mcxeNUxEtInIyCgu5+zf/YtLCp2BnuYroEDEzbj9/DKU1B3n57Vqv44gElQrpcNDD5JfMA3X8743TtUuUiMgpcM6xbFsN544bycB4dUSE0tVnjiZtSAIPLN/pdRSRoFIhHQ56mPximhQjInLKyuoOUVHfwqUTtZthqMXHxbDg3Dxe3V7Htr0HvI4jEjQqpD3mnOPVT/4HhwckHPuAJsWIiJyWZW/VAHCxtgX3xMdm5ZA4IIYHlpd5HUUkaFRIe6jmwBFue3AVtx7J58EFX6czOxvM/BsGLF6s8XwiIqdh2bYa8tMGkz0i6cQHS58bPiie62dk8bd1u6k90Op1HJGgUCHtkWc372X+z17ljR31fPuaKXxu8TeIrawEn8+/65aKaBGRU3awtYM3dzZoWIfHbjtvDG0dPv64ops1vUX6ARXSIXaotYM7n9hA0UOryUhO5Kl/P58F5+ZpeSARkT60fHsd7Z1Owzo8Ni51MPMmpvHHFRUcae/0Oo5In1MhHULb9h7gql+8yqMlu/jCxeP46xfOY3zaEK9jiYj0O8veqmFIYhwFecO9jhL1bj9/DPWH2nhyXbXXUUT6nArpEHnl7Vqu/83rtLR18mjRXP57/kRtnSoiEgRHl727MD+VAbE6z3pt7riRTMoYygPLd+Kc8zqOSJ/SGSYEHn6zktseXEXm8IH87d/OY9aYEV5HEhHptzbv3k/NgVYuPiPV6yjCuxu0vL3vIK9ur/M6jkifUiEdRD6f4+5/vsXX/rKR88en8Pjnz2X0sIFexxIR6de07F34+dD0DFK1QYv0Qyqkg+RIeyd3PLyG3768g8LZOTywoIDBCXFexxIR6fdefruWM7OSSR2ScOKDJSQS4mL5xJxcXn67lrf3aYMW6T9USAdB3cFWbl68gn9u2sv/XDWJ7103lTiN0xMRCbqWtg7W7Wri3HEpXkeR4xTOySUhLobfq1da+hFVd32stOYAH/71a7y1dz+/KZzBpy8Yq6XtRERCZE1FEx0+x5yxmosSbkYMiucj52Txl7XV1B/UBi3SP6iQ7kOv76jjw79+ncNtPh4tmsv8qaO8jiQiElVW7qwnNsYoyFMhHY5uPz+Ptg4fxSsrvY4i0idUSPeRlWX13PaHVYwamshfv3Au07OHeR1JRCTqrCirZ2pmsuakhKnxaUO4ID+F4pUVtHf6vI4jctpUSJ+M4mLIy4OYGP/34mIANlU38+klJWQNH8ijn51L9ogkT2OKiESjw22drN/VzBwtMRrWFszNY9/+Vp7dvM/rKCKnTX+y91ZxMRQVQUuL/35FBRQVse9AKwtqsxmSGMdDt89mxKB4b3OKiESptZWNtHX6mK3x0WHtkolpZA0fyP+9Uc5VZ2Z4HUfktKhHurcWLny3iD6qpQX3ta8B8NCnZ2uNaBERD63Y2UCMofHRYS42xrh1Ti7p/3iC9uyc91zlFYkk6pHurcruJ0akNdWy5FOzGJc6OMSBRESkqxVl9UwZnczQxAFeR5ETKNyxnNh//YoBHYHVOwJXef0PFnoXTOQkqUe6t3Jyum1uH53J1MzkEIcREZGujrR3sm5Xk5a9ixCDv3MXAzuOWwKvpcV/9VckgqiQ7q1FiyDp2EmEnYkDSfjh3R4FEhGRo9btaqKtw8fsMSO9jiK90cNV3h7bRcKUCuneKizELV5MQ0oGPoyWjExi779Pl6BERMLAirJ6zGCmVuyIDD1c5e2xXSRMqZA+CX8+40LOuf0+fv3CNpJ2V6mIFhEJEyvLGpicMZTkgRofHRG6ucpLUpK/XSSCqJDupZ11h/jW0s3MHTuSz1883us4IiIS0NrRyZrKRg3riCSFhbB4MS4nBx9G3chRsHixOqgk4qiQ7oW2Dh9femQtA2Jj+MlN04mNMa8jiYhIwPpdzbR2+DTRMNIUFmIVFfzs2beY+Zn7qZh/ndeJRE6aCule+Mlzb7Ohqpl7PjqNjGStFS0iEk5WBsZHz9L46IhUODuHWDP+uKLC6ygiJ02F9Am8VlrH717ZwS2zcpg/VTswiUj/YWbzzWybmZWa2Z3dPJ5gZo8GHl9pZnmB9jwzO2xm6wJfvw15+C5W7Kxn4qihDEvSzrKRKH1oIh+cOorHSqo43NbpdRyRk6JC+n00HGrjy4+tY0zKIL5x9SSv44iI9BkziwXuBa4AJgO3mNnk4w67HWh0zo0Hfgrc0+WxHc65swJfnwtJ6G60dfhYXdHIbPVGR7QFc/NoPtzO0vXVXkcROSkqpHvgnOPOJzbQcKiNX9x8Nknx2gRSRPqVWUCpc67MOdcGPAJce9wx1wJLArcfB+aZWVhNEtlQ1cSRdo2PjnQz84YzcdQQlrxegXPO6zgivaZCugcvv13Ls1v28ZUPnKGdC0WkP8oEdnW5XxVo6/YY51wH0AwcXRpjjJmtNbOXzeyCYIftycqdDQDM0oodEc3MWHBuHlv27KekotHrOCK9pkK6Gz6f455/bSNnRBKfOm+M13FERMLNHiDHOXc28GXgT2Y29PiDzKzIzErMrKS2tjYoQVaU1XNG+hBGDNL46Eh37VmjGZIYR7EmHUoEUSHdjb9v2M3WPfv5ygcmEB+nH5GI9EvVQHaX+1mBtm6PMbM4IBmod861OufqAZxzq4EdwITj38A5t9g5V+CcK0hNTe3zD9De6R8frWEd/UNSfBwfPSeLpzfupeFQm9dxRHpFVeJx2jp8/O+zbzM5YygfOnO013FERIJlFZBvZmPMLB64GVh63DFLgQWB29cDLzrnnJmlBiYrYmZjgXygLES537GxupmWtk5mj9Wwjv7iY7NzaOv08fjqXSc+WCQMqJA+zsNvVlLZ0MJ/zz+DGG28IiL9VGDM8x3AM8BW4DHn3GYz+46ZXRM47AFgpJmV4h/CcXSJvAuBDWa2Dv8kxM855xpC+gHwD+sArR/dn0xIH8KsvBH8aWUlPp8mHUr4i+5CurgY8vIgJgby8jiy5CF++eJ2Zo8ZwUUT+v4ypIhIOHHOPe2cm+CcG+ecWxRo+6Zzbmng9hHn3A3OufHOuVnOubJA+xPOuSmBpe/Occ793Yv8K8sayE8bTMrgBC/eXoKkcE4O5fUtvL6j3usoIicUvYV0cTEUFUFFBTgHFRXEfraIc1c+w1evmEiYrfAkIiJddHT6KClvYLbGR/c786eOYsSgeO10KBEhegvphQuhpeWYpgGtR7jrjWLOyRnuUSgREemNTbv3c6itkzkaH93vJMTFcsOMLJ7buo99+494HUfkfUVvIV1Z2W3ziIZ9IQ4iIiIna6XGR/drt8zKodPneHSVJh1KeIveQjonp/v27Ozu20VEJGy8ubOBsamDSBuS6HUUCYK8lEFckJ/Cw29W0tHp8zqOSI+it5BetAiSko5pak9IxL7/fY8CiYhIbzjnWLuriRkahtevFc7OYU/zEV7aFpzNfET6QvQW0oWFsHgx5ObizKgamsrBX/3a3y4iImGrsqGFhkNtnJUzzOsoEkTzJqWTNiSB4pWadCjhKySFtJnNN7NtZlZqZnf2cMyNZrbFzDab2Z9CkYvCQnxlOzn/+8/ztZ/8neGfvi0kbysiIqdu3a4mAM7OVo90fzYgNoabZ2bz0tu17GpoOfETRDwQ9EI6sPvVvcAVwGTgFjObfNwx+cDXgPOcc1OA/wh2rqPeKKunuukwNxRobLSISCRYW9lEUnwsE9IHex1FguymWTkY8Miq7hcIEPFaKHqkZwGlzrky51wb8Ahw7XHHfAa41znXCOCcqwlBLgAeX13FkMQ4PjA5PVRvKSIip2HtriamZSYTFxu9oxOjReawgVw6MY1HV1XR1qFJhxJ+QnEWygS6rl9TFWjragIwwcxeM7MVZja/uxcysyIzKzGzktra05984PM5XtpWw+WT00kcEHvaryciIsF1pL2TLbubOVsTDaNG4exc6g628twWLU8r4Sdc/pyPA/KBi4FbgPvMbNjxBznnFjvnCpxzBampp7+Fd2ntQRpb2rWgv4hIhNi8ez/tnY6zsod5HUVC5MIJqWQOG6hJhxKWQlFIVwNdByBnBdq6qgKWOufanXM7gbfxF9ZBtXJnAwCztaC/iEhEeGeioVbsiBqxMcbHZufw+o56dtQe9DqOyDFCUUivAvLNbIyZxQM3A0uPO+Zv+HujMbMU/EM9yoIebGcD6UMTyBmRdOKDRUTEc2srG8kcNpD0odqIJZrcUJBFXIzxyJuadCjhJeiFtHOuA7gDeAbYCjzmnNtsZt8xs2sChz0D1JvZFmAZ8P+cc/VBzsWbOxuYNWYkZhbMtxIRkT6ybleThnVEobQhiVw2KZ0n1lTT2tHpdRyRd4RkjLRz7mnn3ATn3Djn3KJA2zedc0sDt51z7svOucnOuWnOuUeCnWlXw2H27j/CLA3rEBGJCDUHjlDVeFjDOqLUzbOyaTjUxrObNelQwke4TDYMuZU7/R3es/JUSIuIRIJ1lU0A6pGOUhfk+ycdak1pCSdRW0iv3dXE0MQ48tO0oL+ISCRYt6uJuBhjamay11HEA7Exxs0zs3mttJ6K+kNexxEBoqmQLi6GvDyIiYG8PLKe/gtjUgYRE6Px0SIikWBtZROTRw/Vuv9R7IaCbGIMHlm168QHi4RAdBTSxcVQVAQVFeAcVFTwqSU/4LqtL3udTEREeqHT59hQpYmG0W5UciKXTkznzyVVtHdqp0PxXnQU0gsXQkvLMU2J7a185PF7PQokIiInY3vNAQ61dWqioXDLrGzqDrbywlZNOhTvRUchXdn9xIShtXtDHERERE7F2ncmGmpr8Gh30YRUMpITefhNDe8Q70VHIZ2T021za0ZmiIOIiMipWFfZxLCkAeSN1AZa0S4uNoYbCrJ5ZXstuxpaTvwEkSCKjkJ60SJIOvbk2xKXQPM3vu1RIBERORlrdzVydvYwbaAlANw0MxuAP5eoV1q8FR2FdGEhLF4Mublgxv600dw5/w6Sb1/gdTIRETmBA0fa2V5zUMM65B2ZwwZy0YRUHi3ZRYcmHYqHoqOQBn8xXV4OPh8/f+A5Xjj7Mi2hJCISATZUNeMcmmgox7hlVg779rfy0rZar6NIFIueQrqL1o5OElREi4hEhLWVjQBM19J30sWlE9NIHZLAw29qp0PxTnQW0u0+EuKi8qOLiEScdbuaGJc6iOSBA7yOImFkQGwMNxZksWxbDXuaD3sdR6JUVFaTrR0+DesQEYkAzjnWVjZxdo7GR8t73Vb+Bq/8+jZGDR/k3724uNjrSBJl4rwO4IUj7Z3qkRYRiQBVjYepP9SmHQ3lvYqLSfnyHe9uuFZR4d/FGPzzokRCICqrydYODe0QEYkEawLjozXRUN6jm12LaWnxt4uESFRWk5psKCISGdZWNjFwQCxnpA/xOoqEmx52Le6xXSQIorKQ9vkgRmv6i4iEvXW7mpiWlUxcbFT+upL308OuxT22iwRBVJ6ZEuNjOdyuBdxFJLqZ2Xwz22ZmpWZ2ZzePJ5jZo4HHV5pZXpfHvhZo32ZmHwxGvtaOTrbs3q9hHdK9bnYtbk9I9LeLhEhUFtKD4mM53NbhdQwREc+YWSxwL3AFMBm4xcwmH3fY7UCjc2488FPgnsBzJwM3A1OA+cCvA6/Xp7bs3k9bp4+zNdFQunPcrsW1I9K55yNfwX3sY14nkygSlYX0wPhYDrV2eh1DRMRLs4BS51yZc64NeAS49rhjrgWWBG4/DswzMwu0P+Kca3XO7QRKA6/Xp9ZWNgFo6TvpWZddi19+toT7c+ayqrzR61QSpp5cV83GquY+fc2oLKQHxcfRoh5pEYlumcCuLverAm3dHuOc6wCagZG9fC5mVmRmJWZWUlt78ts4r69qIiM5kfShiSf9XIk+V04bxZCEOB5ZpcmG8l4+n2PhXzfxWMmuEx98EqKnkC4u9i/WHhPDf332A1y65nmvE4mI9GvOucXOuQLnXEFqaupJP/+ej55J8adnByGZ9EdJ8XFcc9Zont64h+bD7V7HkTBTVneQg60dnJmV3Keve8JC2syeM7PpffquoVZc7F+kvaICnCO5Zg/ffeoXdD70R6+TiYi8LzN7zcwuCcJLVwPZXe5nBdq6PcbM4oBkoL6Xzz1tiQNiGZs6uK9fVvqxm2fmcKTdx9J1ff7PUSLchsCQjul9POeiNz3SXwV+ZmZ/MLOMPn33UOlm0fakjlZMi7aLSPj7LHCHmb1gZnP78HVXAflmNsbM4vFPHlx63DFLgQWB29cDLzrnXKD95sCqHmOAfODNPswmckqmZg5lcsZQHlnVt5fvJfJtqGomKT6WcX38x/kJC2nn3Brn3CXAP4B/mdldZjawT1MEWw+Ls1uV/kcTkfDmnNvknPso8P+AhWb2j764ShgY83wH8AywFXjMObfZzL5jZtcEDnsAGGlmpcCXgTsDz90MPAZsAf4F/JtzTjO4xXNmxi2zstm8ez+bqvt2UplEtvVVTUwdnUxsH28k0qsx0oFZ2tuA3wBfBLab2a19miSYelicvTXjPXNjRETCVSnwXfxDKFb3xQs65552zk1wzo1zzi0KtH3TObc0cPuIc+4G59x459ws51xZl+cuCjzvDOfcP/sij0hfuOasTBLiYjTpUN7R3uljy+79fT4+Gno3Rvo1/Cfun+Kflf1J4GJglpkt7vNEwdDNou0tcQms//x/exRIRKR3zGyZmVXhL56/DjTgPw+LSDeSBw7gqmkZPLl2t1boEgDe3neA1g4fZwZhTfq4XhxTBGwJjIvr6otmtrXPEwVDYaH/+8KFUFmJLzubO8+8gQnnzkfzwUUkzH0F2OqcO+x1EJFIcdPMbP6ytpqnN+7l+hlZXscRj70z0dCLHmnn3OZuiuijrurjPMHTZdH2mIoKls/6IHuaj3idSkTkfQXmqaiIFjkJs8aMYEzKIB7V8A4BNlQ1kTxwADkjkk588Ek6rXWku46XizTpQxPZq0JaRESk3zEzbpqZzaryRkprDnodRzy2flczZ2Yl45/y17eiZ0OW42QkJ6pHWkREpJ/6yDmZxMVYn+9kJ5HlSHsn2/YdCMpEQ4jiQjpr+EB2NbTQ86gVERERiVRpQxKZNymNJ1ZX0dbh8zqOeGTLnv10+hxnZg0LyutHbSE9LnUwB1o7qD3Q6nUUERERCYKbZ+VQf6iNF7bu8zqKeGTDriYA9Uj3tfFp/p1tNHZKRESkf7owP5WM5ETtdBjFNlQ1kzokgVFDE4Py+lFbSB/dIrK0VoW0iIhIfxQbY9xQkM0r22upbtLiN9FofVUT04M00RCiuJBOH5rA4IQ4dqhHWkREpN+6IbCO9J816TDqHDjSTlndoaCNj4YoLqTNjHFpg9UjLSIi0o9lj0ji/PEp/Lmkik6fFhiIJpuq9+Nc8MZHQxQX0gDjUgdpjLSIiEg/d/PMHKqbDrO8tM7rKBJCG6qaANQjHSz5aUPYt7+V5sPtXkcRERGRILlschojBsVrp8Mos6GqmazhAxkxKD5o7xGdhXRxMeTl8blL81n+m9vY99sHvE4kIiIiQZIQF8tHzs7kuS37qDuoZW+jxYbqJqYHsTcaorGQLi6GoiKoqMCcI2t/LWO+9p/+dhEREemXbpqZTXun4y9rqryOIiHQcKiNXQ2Hgzo+GqKxkF64EFpajmka0HrE3y4iIiL9Un76EGbkDueRVbu0q3EUODo+epoK6T5W2cP4qJ7aRUREpF+4aWY2ZbWHKKlo9DqKBNmGqmbMYFqmCum+lZPTbbMvKzvEQURERCSUrpqWweCEOB55U2tK93cbqpoYmzKIIYkDgvo+0VdIL1oESUnHNLXEJbDjP7/uUSAREREJhUEJcXxo+mie2rib/Ue0Yld/tqGqOegTDSEaC+nCQli8GHJzwYzO7BzunH8HLxdc7nUyERERCbKbZ2ZzpN3H0nW7vY4iQbK3+Qg1B1qDPj4aorGQBn8xXV4OPh+xlRWsPu9K1lY2eZ1KREREguzMrGQmjhrCo6s0vKO/Wh+CjViOis5C+jjn5A6npKJBs3hFRET6OTPj5pnZbKxuZlN1s9dxJAg2VDURF2NMGT006O+lQhooyB3Ovv2t7G4+4nUUERERCbLrzs4kPi6Gx0rUK90fbahqZkL6EBIHxAb9vVRIAzNyhwNQUt7gcRIREREJtmFJ8VwxdRR/XVvNkfZOr+NIH3LOsbG6menZwR8fDSEqpM1svpltM7NSM7vzfY77qJk5MysIRa6jJo4aQlJ8LGu0rqSIiEhUuGlmNgeOdPD0xj1eR5E+VNnQQlNLO9Myh4Xk/YJeSJtZLHAvcAUwGbjFzCZ3c9wQ4EvAymBnOl5cbAxnZQ/TAu0iIiJRYu7YkeSNTNKa0v3M+ir/uPdgbw1+VCh6pGcBpc65MudcG/AIcG03x30XuAfwZKByQe5wtu7Zz6HWDi/eXkRERELIzLhpZg5vljdQWnPQ6zjSRzZWNZEQF8MZo4aE5P1CUUhnAl3/3KsKtL3DzM4Bsp1zT73fC5lZkZmVmFlJbW1tn4ackTcCn4M1leqVFhERiQbXz8giLsZ4dFWl11Gkj6yvamby6KEMiA3NNEDPJxuaWQzwE+ArJzrWObfYOVfgnCtITU3t0xwFucOJjTFWlmnCoYiISDRIHZLAZZPSeWJNNa0dmnQY6do7fWyoauKs7GEhe89QFNLVQHaX+1mBtqOGAFOBl8ysHJgDLA31hMNBCXGcmZXMG2X1oXxbERER8dDNs7JpONTGc1v2eR1FTtPm3fs50u6jIHdEyN4zFIX0KiDfzMaYWTxwM7D06IPOuWbnXIpzLs85lwesAK5xzpWEINsx5owdyfpdTbS0aZy0iIhINLggP5XMYQM16bAfOLqMcUHe8JC9Z9ALaedcB3AH8AywFXjMObfZzL5jZtcE+/1PxpyxI+nwOVZr9Q4R6cfMbISZPWdm2wPfu/2tY2YLAsdsN7MFXdpfCixpui7wlRa69CJ9KzbGuLEgm+WldVTWt3gdR05DSXkj2SMGkj40MWTvGZIx0s65p51zE5xz45xziwJt33TOLe3m2Iu96I2muJgLLi+g7J4Pceb5Z0FxccgjiIiEyJ3AC865fOCFwP1jmNkI4C5gNv7Vl+46ruAudM6dFfiqCUVokWC5cWYWMQaPlmjSYaRyzlFS0RjSYR0QBpMNw0JxMRQVEVNZSQyO5JrdUFSkYlpE+qtrgSWB20uA67o55oPAc865BudcI/AcMD808URCK+Mff+HN+z7NV+ZPxuXm6vd/BKqob6HuYGtIh3WACmm/hQuh5bjLOS0t/nYRkf4n3Tl3dDu3vUB6N8ecaOnSPwSGdXzDzCxIOUWCL9CZllK/lxgcVlmpzrQIdHRTPfVIe6Gyh0s5PbWLiIQ5M3vezDZ183XMhljOOQe4k3z5QufcNOCCwNetPWQI2tr/In1GnWn9wuqKBoYmxpGfNjik76tCGiAn5+TaRUTCnHPuMufc1G6+ngT2mVkGQOB7d2Oce1y61Dl39PsB4E/4x1B3lyFoa/+L9Bl1pvULq8obmZE7nJiY0F4gUyENsGgRJCUd03RkQIK/XUSk/1kKHF2FYwHwZDfHPAN8wMyGByYZfgB4xszizCwFwMwGAFcDm0KQWSQ41JkW8Zpa2iitOUhBXmiHdYAKab/CQli8GHJzwYwD6aP57w/eQc01H/U6mYhIMNwNXG5m24HLAvcxswIzux/AOdcAfBf/XgCrgO8E2hLwF9QbgHX4e6nvC/knEOkr3XSmHR6QgO976kyLFEeXLZ6RG9qJhgBxIX/HcFVY6P8CyquaWfqr5VxaWs91Z2ee4IkiIpHFOVcPzOumvQT4dJf7vwd+f9wxh4AZwc4oEjKB3/0sXAiVlbSMGs2dM27mwzMv5xJvk0kvrSpvZECsMT1rWMjfWz3S3ZgyeijDkgawvLTO6ygiIiISbIWFUF4OPh+xlRUsn/VBHnlTY6QjxeqKBqaMTmZgfGzI31uFdDdiYozzxqWwfHsd/gntIiIiEg0S4mK5fkYWz2+toWb/Ea/jyAm0dnSyvqqZmSFeP/ooFdI9OD8/hb37j1Bac9DrKCIiIhJCN8/MptPneKxk14kPFk9tqm6mrcPHjBCvH32UCukeXDjBv1TTy29r7VMREZFoMjZ1MOeOG8nDb+6i06cr0+GspNy7iYagQrpHmcMGMi51EK9s1zhpERGRaFM4O5fqpsO8og61sLaqvJExKYNIHZLgyfurkH4fF01IY2VZPUfaO72OIiIiIiF0+eR0UgYnULyywuso0gPnHGsqGz3rjQYV0u/rwgkptHb4WLmzwesoIiIiEkLxcTHcWJDFi2/VsLvpsNdxpBtldYdoONRGgQrp8DR7zEji42J0WUdERCQK3TIrBwc8skqTDsNRSbm/o9OLHQ2PUiH9PgbGxzJ7zAgV0iIiIlEoe0QSF+an8uiqSjo6fV7HkeOUlDcyPGkA41IHeZZBhfQJXDQhle01B6nWZR0REZGoUzg7h337W3nhrRqvo8hxSir846PNzLMMKqTfT3ExCz52MWX3fIhhk/KhuNjrRCIiIhJCl05MY9TQRIpXaqfDcFJ3sJWddYc8HdYBKqR7VlwMRUUMqNpFDI5Be6uhqEjFtIiISBSJi43hppnZvLq9lsr6Fq/jSMDqCv/60V5ONAQV0j1buBBajvsfpqXF3y4iIiJR4+ZZ2Rjw8Cr1SoeLkvIG4mNjmJqZ7GkOFdI9qezhf5ae2kVERKRfykgeyKUT0/lzyS7aOjTpMByUVDRyZlYyiQNiPc2hQronOTkn1y4iIiL9VuGcHOoOtvHslr1eR4l6R9o72VTdzIw8b4d1gArpni1aBElJxzQdGZDgbxcREZGocmF+KlnDB/InTTr03PpdTbR3OgpyvZ1oCCqke1ZYCIsXQ24umHEgfTT//cE72HXFh71OJiIiIiEWG2PcMiuH13fUs6P2oNdxolpJYKKhl1uDH6VC+v0UFkJ5Ofh81GzcxtIpl/DSNq0jKSIiEo1uKMgiLsZ4WL3Sniopb2Bc6iBGDIr3OooK6d4amzKI3JFJvKgF2UVERKJS2pBEPjAlncfXVHGkvdPrOFGprcPHyp0NzB030usogArpXjMzLjkjjdd31HO4Tf/ziIiIRKNb5+TR1NLO0vW7vY4SldZWNtLS1sn541O9jgKokD4pl05Mo7XDxxtldV5HEREREQ/MGTuCCemDWfJ6Oc45r+NEnVe31xFjqEc6Es0eO4Kk+FgN7xAREYlSZsYn5uaxefd+1lQ2eR0n6rxaWsdZ2cNIHjjA6yiACumTkhAXy3njU1j2Vq3+ChUREYlSHz47kyEJcfzfG+VeR4kqzS3tbKxq4vz88BjWASqkT9qlE9OobjrM2/u09I2IiEg0GpQQx/UFWTy9cQ81B454HSdqvL6jDp+DC/JTvI7yDhXSJ+mSM9IAeOGtfR4nEREREa/cOieX9k7HI2/u8jpK1Hhlex2DE+I4K3uY11HeoUL6JI1KTmTK6KEs0zhpERGRqDU2dTAX5KdQvLKC9k6f13GiwvLSWuaMHcmA2PApX8MnSQSZNzGN1RWNNB5q8zqKiIiIeGTB3Dz27W/l2c26Sh1sFfWH2NVwOKyGdYAK6VMyb1I6Pgcvv13rdRQRERHxyCUT08gaPpAlmnQYdK9s9y89rEK6H5iWmUzK4ARe0PAOERGRqBUbY9w6J5c3dzbw1t79Xsfp15ZvryVz2EDGpAzyOsoxVEifgpiH/8RzP/8EP//YDFxuLhQXex1JREREPHBjQTYJcTH83xsVXkfptzo6fby+o57zx6dgZl7HOYYK6ZNVXAxFRQyv20MMDqushKIiFdMiIiJRaPigeK49azR/XVNN8+F2r+P0S5W/up9//vRW7r7xLMjLC6uaS4X0yVq4EFpajm1rafG3i4iISNT5xNw8Drd38vjqKq+j9D/FxWR/9Utk7a/FnIOKirDqwFQhfbIqK0+uXUQkzJjZCDN7zsy2B74P7+G4f5lZk5n947j2MWa20sxKzexRM4sPTXKR8DQ1M5kZucN56I1yfD7tfNynFi5kQOtxm96EUQemCumTlZNzcu0iIuHnTuAF51w+8ELgfnd+BNzaTfs9wE+dc+OBRuD2oKQUiSCfmJtLeX0Lr2zXil59yYV5B6YK6ZO1aBEkJR3T1J6Q6G8XEYkM1wJLAreXANd1d5Bz7gXgQNc288/0uRR4/ETPF4kmV0zNIGVwAkteL/c6Sr9yZFRm9w+ESQemCumTVVgIixdDbi6YsW94Or/+2Ff97SIikSHdObcncHsvkH4Szx0JNDnnOgL3q4Buf9OZWZGZlZhZSW2teumkf4uPi6Fwdg7LttVSWnPQ6zj9xlM338HhAQnHNiYlhU0HpgrpU1FYCOXl4PPxx0de5hejZmmXQxEJK2b2vJlt6ubr2q7HOeccEJRBnc65xc65AudcQWpqajDeQiSs3Do3l/i4GB5YvtPrKP3Gr0fPZsknv/5OBya5uf4OzTDpwIzzOkCkmzcpnV++WMpLb9fw4bOzvI4jIgKAc+6ynh4zs31mluGc22NmGcDJ7C5VDwwzs7hAr3QWUH2acUUiX3ExKQsXsq2ykt1DUjnQ9EOGfGqB16kiWnXTYcrqDhF368dh8Te9jtMt9UifpjMzk0kdksDzW7XLoYhEjKXA0d/wC4Ane/vEQA/2MuD6U3m+SL8U2GOCigrMOTL315D4hc+FzRJtkWp5YOLmBfnhe0VLhfRpiokx5k1M4+VttbR1+LyOIyLSG3cDl5vZduCywH3MrMDM7j96kJm9CvwZmGdmVWb2wcBDXwW+bGal+MdMPxDS9CLhpps9Jga0HsH39a97FKh/eHV7HWlDEpiQPtjrKD3S0I4+cNmkdB5ZtYsVZfVcOCF8/2oSEQFwztUD87ppLwE+3eX+BT08vwyYFbSAIpGmh6XYbNeuEAfpP3w+x2uldVwyMS3stgXvSj3SfeD8/BQGDojl+a37vI4iIiIiodbDUmw1w9K0Qcsp2rx7P40t7VyQn+J1lPelQroPJA6I5YL8FJ7fsg//8EERERGJGt3sMdGROJBF532cl9/W0o+n4tVS/8/tvPEqpDGz+Wa2LbCd7Ht20DKzL5vZFjPbYGYvmFluKHL1pcsmp7O7+Qibd+/3OoqIiIiE0nF7TBxdom3l3Pncv7zM63QR6cWtNUzKGErakESvo7yvoBfSZhYL3AtcAUwGbjGzyccdthYocM6diX+3rB8GO1dfmzcxjRiD57ZoeIeIiEjU6bLHBOXlxN36cT557hheK61n8+5mr9NFlL3NRyipaOSKqaO8jnJCoeiRngWUOufKnHNtwCP4t6d9h3NumXPu6HTXFfjXJY0oIwcnMCN3uAppERERAeBjs3JIio/lgVe1QcvJ+Ncm/8arV07L8DjJiYWikM4Euk5b7XE72YDbgX8GNVGQXDYpnS179lPV2HLig0VERKRfS04awI0F2Sxdv5u9zUe8jhMxnt64lzPShzA+LXyXvTsqrCYbmtnHgQLgRz08XmRmJWZWUlsbfoP3P7z1ZZb/5jYyRw6GvDwtxC4iIhLlPnXeGHzO8eDr5V5HiQg1+4+wqqKBK6aF/7AOCE0hXQ1kd7nf7XayZnYZsBC4xjnX2t0LOecWO+cKnHMFqalhtl5zcTFpX/kiWftrMeegosK/y5GKaRERkaiVMzKJD04ZxZ9WVnCotcPrOGHvX5v34hxcFQHDOiA0hfQqIN/MxphZPHAz/u1p32FmZwO/w19ER+Ze293sakRLi79dREREotanLxjL/iMd/LlEG7ScyFMb9pCfNpj89CFeR+mVoBfSzrkO4A7gGWAr8JhzbrOZfcfMrgkc9iNgMPBnM1tnZkt7eLnw1cOuRj22i4iISFSYkTucGbnDue/VnbR3+ryOE7ZqDhzhzfKGiJhkeFRIxkg75552zk1wzo1zzi0KtH3TObc0cPsy51y6c+6swNc17/+KYaiHXY16bBcREZGocccl46luOsxf17xndKsEPLPJP6xDhXQ06mZXI5eU5G8XERGRqHbxGalMy0zmV8tK6VCvdLee3riXcamDmJAe/qt1HKVCuq902dXImVE1NJUN3/yRv11ERESimpnxxUvHU9nQwtL1u72OE3bqDraycmc9V03LwMy8jtNrKqT7UmBXo472Dq7+yh9Zkneu14lEREQkTFw+OZ1JGUP51YuldPqc13HCyr827cXn4MozI2dYB6iQDooBsTFcNimd57buo61Dl29ERETk3V7psrpD/GODeqW7+uemPYxNGcQZEbJax1EqpIPkiqmjOHCkg9d31HkdRURERMLE/CmjyE8bzK9eLMWnXmkA6g+28saOeq6MsGEdoEI6aM7PT2FwQhz/2rTX6ygiIiISJmJijC/Oy2d7zUH+tVk1AsAzm/f5h3VE0GodR6mQDpKEuFgunZjGs1v2aXauiIiIvOOqaRmMTR3EL17Yrl5p4OmNexiTMohJGZE1rANUSAfV/KmjaDjUxpvlDV5HERERkTARG2Pcccl43tp7gOe37vM6jqcaDrXxRlk9V0wdFXHDOkCFdFBdfEYqiQNiNLxDREREjnHN9NHkjkzily+W4lz09ko/u3kvnT4XkcM6QIV0UCXFx3HRhFT/ki66dCMiIiIBcbEx/NvF49lY3cxL22q9juOZpzbuIXdkElNGD/U6yilRIR1kV07LoOZAKyUVjV5HERERkTDy4XMyyRw2kJ+/sD0qe6UbD7XxeoSu1nGUCukgu2xSOglxMVovUkRERI4xIDaGL1wyjnW7mlheGn3L5T63ZZ9/WMfUyBzWASqkg25QQhyXTkzj6Y17tYuRiIiIHOP6GVlkJCfy42ffjrpe6cdKdpE3MompmZE5rANUSIfEVWdmUHewlTd3avUOEREReVdCXCxfvnwC63c18fcNe7yOEzIbq5opqWjk1rl5ETusA1RIh8Tla1/gtd9+ijn5qZCXB8XFXkcSERGRMPHRc7KYnDGUe/75FkfaO72OExIPvl5OUnwsNxRkeR3ltKiQDrbiYhK+8Dkym2sw56CiAoqKVEyLiIgI4N/t8H+umkR102EefL3c6zhBV3ewlb+v3831M7IYmjjA6zinRYV0sC1cCC0tx7a1tPjbRURERIBzx6dw6cQ07n2xlIZDbV7HCapH3qykrdPHJ+bmeR3ltKmQDrbKypNrFxERkaj09Ssn0tLeyc+ff9vrKEHT3unjoRUVXDghlfFpg72Oc9pUSAdbTs7JtYuIiEhUGp82hFtmZVO8spIdtQe9jhMU/9q0l337W/nkubleR+kTKqSDbdEiSEo6pqkjcaC/XURERKSL/7hsAokDYvnB0295HSUoHny9nNyRSVw8Ic3rKH1ChXSwFRbC4sWQm4szY09yGks++XV/u4iIiEgXKYMT+PzF43h+6z7e2FHvdZw+tbGqmdUVjSyYm0dMTOQuedeVCulQKCyE8nLM5+N3//ci94yYQfPhdq9TiUiUMrMRZvacmW0PfB/ew3H/MrMmM/vHce0PmtlOM1sX+DorJMFFosTt549hdHIii57egq8fbeb24OvlDIqP5foIX/KuKxXSIXbd2Zm0dfr416boWXRdRMLOncALzrl84IXA/e78CLi1h8f+n3PurMDXuiBkFIk+xcWQl0diwgCe/+UCxj77JH9bV+11qj5xdMm7j/aDJe+6UiEdYtOzkskbmcST63Z7HUVEote1wJLA7SXAdd0d5Jx7ATgQokwi0a242L/PREUFOEfSnmp++MyvWH/3rzncFvmbtDy8sv8sedeVCukQMzOuPSuTN8rqqW467HUcEYlO6c65o5fF9gLpp/Aai8xsg5n91MwSujvAzIrMrMTMSmpra085rEhU6GbficT2Vj7zzP387pUdHoXqG+2dPv64sv8sedeVCmkPXD8jC+fgL6urvI4iIv2UmT1vZpu6+bq263HOOQec7CDMrwETgZnACOCr3R3knFvsnCtwzhWkpqaeyscQiR497C+Rub+Oe5eV8tbe/SEO1HeOLnl327l5XkfpcyqkPZA9Iok5Y0fw+Joq/L/DRET6lnPuMufc1G6+ngT2mVkGQOB7zUm+9h7n1wr8AZjV959AJMr0sL+ELzub5IED+Mpj62nv9IU4VN948PVy8kYmcdGE/vcHtQppj9wwI5uK+hbe3NngdRQRiT5LgQWB2wuAJ0/myV2KcMM/vnpTX4YTiUrd7DtBUhKxP/g+37tuGpt37+fXyyJviMeGqiZWVzTyiX605F1XKqQ9csW0UQxOiOPPGt4hIqF3N3C5mW0HLgvcx8wKzOz+oweZ2avAn4F5ZlZlZh8MPFRsZhuBjUAK8L2Qphfpj7rsO4GZ//vixVBYyPypo7hm+mh++eJ2Nu9u9jpprznn+PGzbzMkIa5fLXnXlUXq0IKCggJXUlLidYzT8tXHN/D3DbtZtfAyBiXEeR1HRELEzFY75wq8zhFK/eGcLeKlxkNtXP7TV0gdksCT/3Ye8XHh3xe67u57SfnBt8k8UIfl5Ph73SN0Q7qeztvh/1+hH7uhIIuWtk6e2qg1pUVERKRnwwfF8/0PT2Xrnv38almp13FO6MiShzjjm18ha38t5px/Wb+iIv8yf/2ICmkPzcgdzpiUQfy5ZJfXUURERCTMfWDKKD5ydib3LitlU3V4D/Fo/X9fZWB767GNLS3+Zf76ERXSHjIzFjat5adfvQ4XEwN5ef3uLzURERHpO3d9aAojB8XzlcfW09oRnhu1bNt7gCG1e7t/sIdl/iKVCmkvFRcz7yf/0+8ve4iIiEjfSE4awA8+Mo1t+w7wyxfCb4iHc45v/G0Te5N7WOquh2X+IpUKaS8tXIgdPnYXo/542UNERET6zrxJ6Vw/I4vfvLyDtZWNXsc5xl/WVPNmeQPlX17Y7XJ+LFrkTbAgUSHtpZ4ub/Szyx4iIiLSt75x9WRGDU2k6KHV7GpoOfETQqC5pZ0f/HMrZ+cMY87/fLHH5fz6ExXSXurp8kY/u+whIiIifSt54AAevG0mre2dLPj9mzQcavM6Ej9+dhsNh9r47rVT/ZuvFBZCeTn4fP7v/ayIBhXS3upmF6POgQP73WUPERER6Xv56UO4f8FMqpoO8+klqzjc5t3kww1VTfxxZQWfmJvH1Mxkz3KEmgppL3XZxciZUZ2cxsO3f6Nf/sUmIiIifW/WmBH87KazWLuriX9/ZC2dvtBvtNfpc/zP3zaRMjiBL39gQsjf30sqpL0WuOxhPh+/ffAFvjP0LGoOHPE6lYiIiESIK6dlcNfVk3luyz7uWrqJUO5a7ZzjJ89tY0NVM/9z1SSGJg4I2XuHAxXSYeS28/Jo9/l46I0Kr6OIiIhIBPnkeWP47EVj+eOKSn790o6QvKdzjh8/u417l+3gxoIsrpk+OiTvG05USIeRsamDuWxSOn9cUeHpOCcRERGJPF/94ESuO2s0P3pmW9B3TXbOcfe/3uLeZTu4ZVY2d3/kTMwsqO8ZjlRIh5nPXDCWxpZ2Hl9T5XUUERERiSAxMcYPr5/OeeNHcudfNvJYya6gDPNwzrHoqa387uUyPj4nh0XXTfOv0hGFVEiHmZl5w5melczvl+/E58GEAREREYlc8XEx/PbjMyjIHc5/P76Bz/1xNfUHW/vs9Z1zfPvvW7h/+U4+eW7eu0vdRSkV0mHGzPj0BWPZWXeI57fu8zqOiIiIRJghiQP402fm8PUrJ7LsrVo++LNXeKEPagqfz/HNJzfz4OvlfOq8Mdz1oclROZyjKxXSYeiKqaPIHDaQ+1/d6XUUERERiUCxMUbRheNY+sXzSB2SyO1LSrjziQ0cbO04pddr7/TxP09u4qEVFRRdOJZvXD0p6otoUCEdluJiY7jtvDzeLG9gdUWj13FEREQkQk0cNZS//du5fP7icTxWsosrfv4Kq8obevVc5xybqpv5zt+3MPcHL/CnlZV8/uJxfO2KiSqiA+K8DiDd+9jsHH790g5+9vzbPHT7bK/jiIiISKQoLoaFC6GyEnJySFi0iK8WFjJvYhpffmw9N/z2DcalDmLK6GSmZg5lyuhkpoweyrCkeAD27T/Ck+uq+cuaat7ae4ABsca8iencUJDFpRPTVER3oUI6TCXFx/HZC8fyg3++xeqKBmbkjvA6koiIiIS74mIoKoKWFv/9igr/faCgsJCnv3QBS14vZ92uJkrKG1i6fvc7T80cNpBRyYmsrWzE5+DsnGF897qpXD0tg+GD4r34NGHPQrn7TV8qKChwJSUlXscIqpa2Ds6/ZxlTRg9Vr7RIP2Jmq51zBV7nCKVoOGeLhIW8PH/xfLzcXCgvf09zw6E2Nu9uZvPu/WzevZ/KhhYuGJ/Ch8/JZFzq4KDHjRQ9nbfVIx3G1CstIiIiJ6Wy8qTaRwyK54L8VC7ITw1iqP4rJJMNzWy+mW0zs1Izu7ObxxPM7NHA4yvNLC8UuSLBrXNzGTkonp89v93rKCIiIhLucnJOrr0nxcX+3u2YGP/34uLTTdYvBb2QNrNY4F7gCmAycIuZTT7usNuBRufceOCnwD3BzhUpkuLj+OxFY3l1ex0lvZxlKyIiIlFq0SJISjq2LSnJ395bR8dZV1SAc++Os1Yx/R6h6JGeBZQ658qcc23AI8C1xx1zLbAkcPtxYJ5pSug7Pj4nl5TB6pUWERGREygshMWL/WOizfzfFy/2t/fWwoXvTlY8qqXF3y7HCMUY6UxgV5f7VcDxM+feOcY512FmzcBIoK7rQWZWBBQB5JzsJYoIlhQfxxcuHs/m3ftp6/ARH6flv0VERKQHhYUnVzgf7yTHWUeziJps6JxbDCwG/wxwj+OE1KfOH+N1BBEREYkGOTndr/wRRZ2YvRWKrs1qILvL/axAW7fHmFkckAzUhyCbiIiIiHTVF+Oso0QoCulVQL6ZjTGzeOBmYOlxxywFFgRuXw+86CJ1gWsRERGRSNYX46yjRNCHdgTGPN8BPAPEAr93zm02s+8AJc65pcADwENmVgo04C+2RURERMQLpzvOOkqEZIy0c+5p4Onj2r7Z5fYR4IZQZBERERER6Qta/kFERERE5BSokBYRiTJmNsLMnjOz7YHvw7s55iwze8PMNpvZBjO7qctjYwK70JYGdqWND+0nEBEJDyqkRUSiz53AC865fOCFwP3jtQCfcM5NAeYDPzOzYYHH7gF+GtiNthH/7rQiIlFHhbSISPTpupvsEuC64w9wzr3tnNseuL0bqAFSA7vOXop/F9oeny8iEg1USIuIRJ9059yewO29QPr7HWxms4B4YAf+XWebnHMdgYer8O9O293zisysxMxKamtr+ya5iEgYiaidDUVEpHfM7HlgVDcPLex6xznnzKzHdfvNLAN4CFjgnPP5O6R7J5p3oxWR6KBCWkSkH3LOXdbTY2a2z8wynHN7AoVyTQ/HDQWeAhY651YEmuuBYWYWF+iV7m63WhGRqKChHSIi0afrbrILgCePPyCwEsdfgf9zzh0dD01g19ll+Heh7fH5IiLRQIW0iEj0uRu43My2A5cF7mNmBWZ2f+CYG4ELgU+a2brA11mBx74KfDmwG+1I/LvTiohEHfN3LkQeM6sFKk7x6SlAXR/GCRXlDi3lDq1oyp3rnEsNRphwdRrn7Ej9d9Eb/fmzQf/+fP35s0H//nyn+tm6PW9HbCF9OsysxDlX4HWOk6XcoaXcoaXc0p3+/PPtz58N+vfn68+fDfr35+vrz6ahHSIiIiIip0CFtIiIiIjIKYjWQnqx1wFOkXKHlnKHlnJLd/rzz7c/fzbo35+vP3826N+fr08/W1SOkRYREREROV3R2iMtIiIiInJaoqKQNrMRZvacmW0PfB/ezTFnmdkbZrbZzDaY2U1eZA1kmW9m28ys1Mzu7ObxBDN7NPD4SjPL8yDme/Qi95fNbEvg5/uCmeV6kfN4J8rd5biPmpkzs7CYydyb3GZ2Y+BnvtnM/hTqjN3kOdG/kRwzW2ZmawP/Tq70IufxzOz3ZlZjZpt6eNzM7BeBz7XBzM4JdcZIF6nnvd6I1HNjb0XqObQ3IvE821uRej7ujZCes51z/f4L+CFwZ+D2ncA93RwzAcgP3B4N7AGGeZA1FtgBjAXigfXA5OOO+QLw28Dtm4FHw+Bn3JvclwBJgdufj5TcgeOGAK8AK4CCSMgN5ANrgeGB+2kRkHkx8PnA7clAudc/60CWC4FzgE09PH4l8E/AgDnASq8zR9JXpJ73+vCzhd25sS8/X+C4sDqH9uF/u7A6z/bxZwvL83EvP1/IztlR0SMNXAssCdxeAlx3/AHOubedc9sDt3cDNYAXGybMAkqdc2XOuTbgEfz5u+r6eR4H5pmZhTBjd06Y2zm3zDnXEri7AsgKccbu9ObnDfBd4B7gSCjDvY/e5P4McK9zrhHAOVcT4ozH601mBwwN3E4GdocwX4+cc68ADe9zyLX4t9J2zrkVwDAzywhNun4hUs97vRGp58beitRzaG9E4nm2tyL2fNwboTxnR0shne6c2xO4vRdIf7+DzWwW/r/QdgQ7WDcygV1d7lcF2ro9xjnXATTj36bXS73J3dXt+P8a9NoJcwcu+WQ7554KZbAT6M3PewIwwcxeM7MVZjY/ZOm615vM3wI+bmZVwNPAF0MT7bSd7L9/OVaknvd6I1LPjb0VqefQ3ojE82xv9efzcW/02Tk7rk/ihAEzex4Y1c1DC7vecc45M+txqZLAXyQPAQucc76+TSkAZvZxoAC4yOssJ2JmMcBPgE96HOVUxOG/7Hgx/h6uV8xsmnOuyctQJ3AL8KBz7n/NbC7wkJlN1f+LEg0i6dzYWxF+Du2NSDzP9pbOx73Qbwpp59xlPT1mZvvMLMM5tydQKHd76cXMhgJPAQsDXf1eqAayu9zPCrR1d0yVmcXhv+RSH5p4PepNbszsMvx/3FzknGsNUbb3c6LcQ4CpwEuBq8ijgKVmdo1zriRkKd+rNz/vKvzjvtqBnWb2Nv4T/qrQRHyP3mS+HZgP4Jx7w8wSgRR6+H82jPTq37/0KFLPe70RqefG3orUc2hvROJ5trf68/m4N/rsnB0tQzuWAgsCtxcATx5/gJnFA3/FP2bm8RBmO94qIN/MxgQy3Yw/f1ddP8/1wIsuMHreQyfMbWZnA78DrgmjcWTvm9s51+ycS3HO5Tnn8vCPXwyHXwC9+XfyN/y9JJhZCv5LkGUhzHi83mSuBOYBmNkkIBGoDWnKU7MU+ERgJvgcoLnLcDI5sUg97/VGpJ4beytSz6G9EYnn2d7qz+fj3ui7c3ZfzI4M9y/84+heALYDzwMjAu0FwP2B2x8H2oF1Xb7O8ijvlcDb+MdoLwy0fQf/yQf8/5j/DJQCbwJjvf4Z9zL388C+Lj/fpV5n7k3u4459iTCZcd6Ln7fhv6S6BdgI3BwBmScDr+GfQb4O+IDXmQO5Hsa/kk87/h6o24HPAZ/r8rO+N/C5NobLv5FI+orU814ffbawPDf21ec77tiwOYf20X+7sDvP9uFnC8vzcS8/W8jO2drZUERERETkFETL0A4RERERkT6lQlpERERE5BSokBYREREROQUqpEVEREREToEKaRERERGRU6BCWkRERETkFKiQFhERERE5BSqkRbowszfMbEzgdqaZrfY6k4iIdM/MlpnZ5YHb3zOzX3qdSaJLnNcBRMKFmcUAuUB5oOlMYINngURE5ETuAr5jZmnA2cA1HueRKKNCWuRd44Cd7t3tPs/Ev3WoiIiEIefcK2ZmwJeBi51znV5nkuiioR0i75rGsYVzASqkRUTClplNAzKANufcAa/zSPRRIS3yrhFAE4CZTQKuQkM7RETCkpllAMXAtcBBM5vvcSSJQvbuVWyR6GZm2cDfgc3ANuAzzrlsb1OJiMjxzCwJeAH4pnPuOTO7ELjHOTfX42gSZVRIi4iIiIicAg3tEBERERE5BSqkRUREREROgQppEREREZFToEJaREREROQUqJAWERERETkFKqRFRERERE6BCmkRERERkVOgQlpERERE5BT8fxIrAc1Gs/CZAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "# Again, check results with Marchi et al 2009.\n", "fig = pyplot.figure(figsize=(12, 6))\n", "ax1 = fig.add_subplot(121)\n", "ax1.plot(u.data[0,int(grid.shape[0]/2),:],y_coord[:])\n", "ax1.plot(Marchi_Re10_u[:,1],Marchi_Re10_u[:,0],'ro')\n", "ax1.set_xlabel('$u$')\n", "ax1.set_ylabel('$y$')\n", "ax1 = fig.add_subplot(122)\n", "ax1.plot(x_coord[:],v.data[0,:,int(grid.shape[0]/2)])\n", "ax1.plot(Marchi_Re10_v[:,0],Marchi_Re10_v[:,1],'ro')\n", "ax1.set_xlabel('$x$')\n", "ax1.set_ylabel('$v$')\n", "\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "The Devito implementation produces results consistent with the benchmark solution. There is a small disparity in a few of the velocity values, but this is expected as the Devito 41 x 41 node grid is much coarser than the benchmark on a 1024 x 1024 node grid.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "fig = pyplot.figure(figsize=(12, 6))\n", "ax1 = fig.add_subplot(121)\n", "ax1.plot(a[int(npgrid[0]/2),:],y_coord[:])\n", "ax1.plot(u.data[0,int(grid.shape[0]/2),:],y_coord[:],'--')\n", "ax1.plot(Marchi_Re10_u[:,1],Marchi_Re10_u[:,0],'ro')\n", "ax1.set_xlabel('$u$')\n", "ax1.set_ylabel('$y$')\n", "ax1 = fig.add_subplot(122)\n", "ax1.plot(x_coord[:],b[:,int(npgrid[1]/2)])\n", "ax1.plot(x_coord[:],v.data[0,:,int(grid.shape[0]/2)],'--')\n", "ax1.plot(Marchi_Re10_v[:,0],Marchi_Re10_v[:,1],'ro')\n", "ax1.set_xlabel('$x$')\n", "ax1.set_ylabel('$v$')\n", "ax1.legend(['numpy','devito','Marchi (2009)'])\n", "\n", "pyplot.show()\n", "\n", "#Pressure norm check\n", "tol = 1e-3\n", "assert np.sum((c[:,:]-d[:,:])**2/ np.maximum(d[:,:]**2,1e-10)) < tol\n", "assert np.sum((p.data[0]-p.data[1])**2/np.maximum(p.data[0]**2,1e-10)) < tol" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Overlaying all the graphs together shows how the Devito, NumPy and Marchi et al (2009)$^1$ \n", " solutions compare with each other. A final accuracy check is done which is to test whether the pressure norm has exceeded a specified tolerance." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 4 }