{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Advanced Tutorial 3 : build a Spectral Deferred Correction solver for non-linear ODEs\n", "\n", "📜 _Previous base tutorial on [SDC](./04_sdc.ipynb) focused on the Dahlquist problem to explain how to use the_ $Q_\\Delta$_-coefficients._\n", "_But we can also use those for non-linear ODEs **as long as**_ $Q_\\Delta$ _**is lower triangular**._\n", "\n", "Back to the **all-at-once system** defined for the [previous tutorial](./12_nonLinearRK.ipynb) :\n", "\n", "$$\n", "{\\bf u} - \\Delta{t}Q {\\bf f} = {\\bf u}_0,\n", "$$\n", "\n", "with $Q$ a **dense matrix**. We still want to be able to solve this system using only :\n", "\n", "- evaluation of $f(u,t)$\n", "- solution of $u-\\alpha f(u,t) = rhs$ for any $\\alpha,t,rhs$\n", "\n", "Then, we consider the preconditioned iteration to solve the all-at-once system :\n", "\n", "$$\n", "(I - \\Delta{t}Q_\\Delta F)({\\bf u}^{k+1} - {\\bf u}^{k}) = {\\bf u}_0 - ({\\bf u}^{k} - \\Delta{t}Q {\\bf f}^{k})\n", "$$\n", "\n", "where \n", "${\\bf u}^{k} := [u_1^k, \\dots, u_M^k]^T$ the vector of node solutions at the \n", "$k^{th}$ iteration and\n", "${\\bf f}^{k} := [f(u_1^k, t_1), \\dots, f(u_M^k, t_M)]^T$ the evaluation of each \n", "node solution. We use the notation\n", "$I,F$ for the identity operator and $f$ evaluation, respectively.\n", "\n", "The iteration can be rewritten and simplified into\n", "\n", "$$\n", "{\\bf u}^{k+1} - \\Delta{t}Q_\\Delta {\\bf f}^{k+1}\n", " = {\\bf u}_0 + \\Delta{t}(Q-Q_\\Delta) {\\bf f}^{k}\n", "$$\n", "\n", "which can be solved node by node for each iteration, as long as $Q_\\Delta$ is **lower triangular**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prerequisite\n", "\n", "We use the same as for the [previous tutorial](./12_nonLinearRK.ipynb) :" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.optimize import fsolve\n", "\n", "u0 = np.array([5, -5, 20])\n", "sigma, rho0, beta, epsilon = 10, 28, 8/3, 5\n", "\n", "\n", "def f(u, t):\n", " x, y, z = u\n", " rho = rho0 + epsilon*np.sin(t)\n", " return np.array([sigma*(y-x), x*(rho-z)-y, x*y-beta*z])\n", "\n", "\n", "def fSolve(a, t, rhs, uInit):\n", "\n", " def res(u):\n", " return u - a*f(u, t) - rhs\n", "\n", " return fsolve(res, uInit)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation\n", "\n", "Let's retrieve $Q$ and $Q_\\Delta$ coefficients fom `qmat`, using the `Collocation` class as base " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from qmat.qcoeff.collocation import Collocation\n", "from qmat import genQDeltaCoeffs\n", "\n", "qGen = Collocation(nNodes=4, nodeType=\"LEGENDRE\", quadType=\"RADAU-RIGHT\")\n", "nodes, weights, Q = qGen.genCoeffs()\n", "QDelta = genQDeltaCoeffs(\"BE\", qGen=qGen)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> 📜 Checkout the [tutorial on nodes generation](./22_nodes.ipynb) for details about `nodeType` and `quadType`.\n", "\n", "Then we define some arrays to store the node solutions for each iterations (considering here $K=4$ sweeps), \n", "the step solutions and time values : " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "nSweeps = 4\n", "uNodes = np.zeros((nSweeps+1, nodes.size, u0.size)) # k=0,...,K => (nSweeps+1) node solutions vectors\n", "\n", "tEnd = 10\n", "nSteps = 1000\n", "\n", "uNum = np.zeros((nSteps+1, u0.size))\n", "times = np.linspace(0, tEnd, nSteps+1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, for each time step, time node and iteration, we have to solve\n", "\n", "$$\n", "u_m^{k+1} - \\Delta{t} q^\\Delta_{m,m} f(u_m^{k+1},t_m)\n", " = u_0 + \\Delta{t} \\sum_{j=1}^{M} q_{m,j}f(u_j^{k},t_j)\n", " + \\Delta{t} \\sum_{j=1}^{m-1} q^\\Delta_{m,j}f(u_j^{k+1},t_j)\n", " - \\Delta{t} \\sum_{j=1}^{m} q^\\Delta_{m,j}f(u_j^{k},t_j)\n", "$$\n", "\n", "and compute the step update before next step :\n", "\n", "$$\n", "u(t_0 + \\Delta{t}) \\simeq u_0 + \\sum_{m=1}^{M} \\omega_{m} f(u_m, t_m).\n", "$$\n", "\n", "This can be done with the following code :" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "uNum[0] = u0\n", "for i in range(nSteps):\n", " dt = times[i+1] - times[i]\n", " tNodes = times[i] + dt*nodes\n", "\n", " # Initialize k=0 with u0\n", " uNodes[0][:] = uNum[i]\n", "\n", " # Iteration loop\n", " for k in range(nSweeps):\n", "\n", " # Loop on nodes\n", " for m in range(len(nodes)):\n", " rhs = uNum[i].copy()\n", "\n", " # Quadrature terms\n", " for j in range(len(nodes)):\n", " rhs += dt*Q[m, j]*f(uNodes[k, j], tNodes[j])\n", "\n", " # Correction terms\n", " for j in range(m):\n", " rhs += dt*QDelta[m, j]*f(uNodes[k+1, j], tNodes[j])\n", " for j in range(m+1):\n", " rhs -= dt*QDelta[m, j]*f(uNodes[k, j], tNodes[j])\n", "\n", " if QDelta[m,m] == 0:\n", " uNodes[k+1, m] = rhs\n", " else:\n", " uNodes[k+1, m] = fSolve(dt*QDelta[m, m], tNodes[m], rhs, uInit=uNodes[k, m])\n", "\n", " # Step update\n", " uNum[i+1] = uNum[i]\n", " for m in range(len(nodes)):\n", " uNum[i+1] += dt*weights[m]*f(uNodes[-1, m], tNodes[m])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And that's it 🥳 ! We solved our non-linear time-dependent ODE on the given time frame using 4 SDC sweeps, \n", "without caring about what's in our $Q$ and $Q_\\Delta$ coefficients ...\n", "\n", "> 🔍 For a **strictly lower triangular** $Q_\\Delta$ **matrix** (`QDelta[m,m]=0`), there is no need for the `fSolve` function (as for the RK methods in [previous tutorial](./12_nonLinearRK.ipynb)).\n", "> We talk then about **explicit SDC sweeps**.\n", "\n", "> 💡 Here the same $Q_\\Delta$ matrix is used for all sweeps, but nothing prevent to use different $Q_\\Delta$ coefficient\n", "> for each different sweeps. We just have to generate a $Q_\\Delta$ matrix with shape `(nSweeps, nNodes, nNodes)`,\n", "> which is allowed using the `nSweeps` optional parameter of `genQDeltaCoeffs`. \n", "\n", "Finally, we can plot the solution with respect to time : " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "plt.plot(times, uNum[:, 0], label=\"$x(t)$\")\n", "plt.plot(times, uNum[:, 1], label=\"$y(t)$\")\n", "plt.plot(times, uNum[:, 2], label=\"$z(t)$\")\n", "plt.legend(); plt.xlabel(\"time $t$\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ideally, the previous code can be written into a function to allow multiple calls :" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def solveSDC(nSteps, nSweeps, scheme):\n", " qGen = Collocation(nNodes=4, nodeType=\"LEGENDRE\", quadType=\"RADAU-RIGHT\")\n", " nodes, weights, Q = qGen.genCoeffs()\n", " QDelta = genQDeltaCoeffs(scheme, qGen=qGen)\n", "\n", " uNodes = np.zeros((nSweeps+1, nodes.size, u0.size))\n", "\n", " tEnd = 10\n", " uNum = np.zeros((nSteps+1, u0.size))\n", " times = np.linspace(0, tEnd, nSteps+1)\n", "\n", " uNum[0] = u0\n", " for i in range(nSteps):\n", " dt = times[i+1] - times[i]\n", " tNodes = times[i] + dt*nodes\n", "\n", " # Initialize k=0 with u0\n", " uNodes[0][:] = uNum[i]\n", "\n", " # Iteration loop\n", " for k in range(nSweeps):\n", "\n", " # Loop on nodes\n", " for m in range(len(nodes)):\n", " rhs = uNum[i].copy()\n", "\n", " # Quadrature terms\n", " for j in range(len(nodes)):\n", " rhs += dt*Q[m, j]*f(uNodes[k, j], tNodes[j])\n", "\n", " # Correction terms\n", " for j in range(m):\n", " rhs += dt*QDelta[m, j]*f(uNodes[k+1, j], tNodes[j])\n", " for j in range(m+1):\n", " rhs -= dt*QDelta[m, j]*f(uNodes[k, j], tNodes[j])\n", "\n", " if QDelta[m,m] == 0:\n", " uNodes[k+1, m] = rhs\n", " else:\n", " uNodes[k+1, m] = fSolve(dt*QDelta[m, m], tNodes[m], rhs, uInit=uNodes[k, m])\n", "\n", " # Step update\n", " uNum[i+1] = uNum[i]\n", " for m in range(len(nodes)):\n", " uNum[i+1] += dt*weights[m]*f(uNodes[-1, m], tNodes[m])\n", "\n", " return times, uNum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... which can be used to try different SDC schemes, number of sweeps or time resolution :" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times, uNum = solveSDC(200, 2, \"BE\")\n", "plt.plot(times, uNum[:, 0], label=\"$x(t)$\")\n", "plt.plot(times, uNum[:, 1], label=\"$y(t)$\")\n", "plt.plot(times, uNum[:, 2], label=\"$z(t)$\")\n", "plt.legend(); plt.xlabel(\"time $t$\"); plt.title(\"Using 2 sweeps of BE-SDC and 200 time-steps\");" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times, uNum = solveSDC(400, 4, \"FE\")\n", "plt.plot(times, uNum[:, 0], label=\"$x(t)$\")\n", "plt.plot(times, uNum[:, 1], label=\"$y(t)$\")\n", "plt.plot(times, uNum[:, 2], label=\"$z(t)$\")\n", "plt.legend(); plt.xlabel(\"time $t$\"); plt.title(\"Using 4 sweeps of FE-SDC and 400 time-steps\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using the internal SDC solver\n", "\n", "Such generic SDC solver is also available in the `qmat.solvers.generic.CoeffSolver` class,\n", "and uses a more efficient implementation than the one showed above, requiring less evaluation of $f(u,t)$.\n", "This implementation is based on the `DiffOp` class that implements the $f(u,t)$ evaluations,\n", "see the last part of the [previous tutorial](./12_nonLinearRK.ipynb) for more details.\n", "\n", "Looking at the non-perturbed Lorenz example problem, we can solve it with SDC using those few lines :" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from qmat import genQDeltaCoeffs\n", "from qmat.qcoeff.collocation import Collocation\n", "from qmat.solvers.generic import CoeffSolver\n", "from qmat.solvers.generic.diffops import Lorenz\n", "\n", "scheme = \"BE\"\n", "nSteps = 1000\n", "nSweeps = 4\n", "\n", "qGen = Collocation(nNodes=4, nodeType=\"LEGENDRE\", quadType=\"RADAU-RIGHT\")\n", "nodes, weights, Q = qGen.genCoeffs()\n", "QDelta = genQDeltaCoeffs(scheme, qGen=qGen)\n", "\n", "solver = CoeffSolver(Lorenz(), tEnd=10, nSteps=nSteps)\n", "uNum = solver.solveSDC(nSweeps, Q, weights, QDelta)\n", "\n", "plt.plot(solver.times, uNum[:, 0], label=\"$x(t)$\")\n", "plt.plot(solver.times, uNum[:, 1], label=\"$y(t)$\")\n", "plt.plot(solver.times, uNum[:, 2], label=\"$z(t)$\")\n", "plt.legend(); plt.xlabel(\"Time $t$\"); plt.title(f\"Using {scheme} and {nSteps} time-steps\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Eventually, you can also add your own differential operator into `qmat`, see the [short developer guide](../devdoc/addDiffOp.md) on this aspect ...\n", "\n", "> 💡 This coefficient-based approach for SDC, relying on a $Q_\\Delta$ matrix, allows many different variants by just changing the $Q_\\Delta$ coefficients. However, it always relies on multi-node (or multi-stage) methods to define \n", "> the approximate time-integrator used for the SDC sweeps.\n", ">\n", "> But one can also define SDC in an even more generic way, using a $\\phi$-based representation of time integrators,\n", "> which is the topic of the [next tutorial](./14_phiIntegrator.ipynb)." ] } ], "metadata": { "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 2 }