{ "cells": [ { "cell_type": "markdown", "id": "d0804ac9", "metadata": {}, "source": [ "# Non-linear Stability 개요" ] }, { "cell_type": "markdown", "id": "e9d24c64", "metadata": {}, "source": [ "**강좌**: *기초 전산유체역학*" ] }, { "cell_type": "code", "execution_count": 1, "id": "f94c7999", "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "from matplotlib import pyplot as plt\n", "\n", "import numpy as np\n", "\n", "plt.style.use('ggplot')\n", "plt.rcParams['figure.dpi'] = 150" ] }, { "cell_type": "markdown", "id": "1a75949d", "metadata": {}, "source": [ "## 수치 진동\n", "### Odd-Even Decoupling\n", "- Linear wave 방정식에서 다음과 같은 Odd-Even 진동을 해석해보자." ] }, { "cell_type": "code", "execution_count": 14, "id": "9b464caf", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 6, 7).astype(int)\n", "y = 2*(x % 2) -1\n", "\n", "plt.plot(x, y)" ] }, { "cell_type": "markdown", "id": "510930c4", "metadata": {}, "source": [ "이를 중앙차분법 (Unstable flux)로 계산하면\n", "\n", "$$\n", "\\frac{\\partial u_i}{\\partial t} + \\frac{a}{2 \\Delta x} (u_{i+1} - u_{i-1}) = 0.\n", "$$\n", "\n", "이 진동은 계속 유지된다." ] }, { "cell_type": "markdown", "id": "c1514c9b", "metadata": {}, "source": [ "## Gibbs oscillations\n", "- 불연속 구간을 매우 높은 정확도로 근사할 경우 수치 진동이 발생한다." ] }, { "cell_type": "code", "execution_count": 16, "id": "197c5a9a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-2, 2, 101)\n", "stepf = lambda x: (1-np.tanh(1e8*x))/2\n", "\n", "fs = []\n", "for n in [3, 5, 7, 9]:\n", " xdata = np.linspace(-2, 2, n)\n", " fdata = stepf(xdata)\n", "\n", " f = 0\n", " for xi, fi in zip(xdata, fdata):\n", " # Compute Li\n", " Li = 1\n", " for xj in xdata:\n", " if xi != xj:\n", " Li *= (x- xj)/(xi - xj)\n", "\n", " f += Li*fi\n", "\n", " fs.append(f)\n", " \n", "\n", "plt.plot(x, stepf(x))\n", "\n", "for fi in fs:\n", " plt.plot(x, fi)\n", "\n", "plt.xlabel('x')\n", "plt.xlabel('y')\n", "plt.legend([\n", " 'Step', 'n=3', 'n=5', 'n=7', 'n=9'\n", "])" ] }, { "cell_type": "markdown", "id": "f07ca63c", "metadata": {}, "source": [ "## Monotone scheme\n", "- 충격파와 같은 불연속한 해를 안정적으로 해석하기 위해서는 새로운 수치 진동이 발생하지 말아야 한다.\n", "\n", "- 수치 진동이 발생하지 않는, 즉 해의 단조성이 보장되는, 기법을 monotone scheme 이라고 한다.\n", "\n", "$$\n", "u_j^0 \\geq v_j^0 \\rightarrow u_j^n \\geq v_j^n\n", "$$\n", "\n", "### Godunov theorem\n", "- (Godunov, 1959) Linear numerical schemes for solving partial differential equations (PDE's), having the property of not generating new extrema (monotone scheme), can be at most first-order accurate.\n", "\n", "### Entropy를 만족하는 해\n", "- (Harten et al., 1976) Montone 기법의 경우 Entropy를 만족하는 해로 수렴한다.\n", "\n", "#### 실습 (Transonic rarefaction)\n", "- 아래와 같이 Burgers 방정식에 대해서 천음속 팽창파를 해석해보자.\n", "\n", "$$\n", "u_0 (x) = \\begin{cases}\n", " -0.5~x \\leq 0.5 \\\\\n", " 1.5 \\text{ else}\n", " \\end{cases}\n", "$$\n", "\n", "- $t=0.2$ 일 때 수치 해를 다음 두 기법으로 구하시오.\n", " - Upwind 기법\n", " - Local Lax Friedrich 기법\n", " \n", " $$\n", "F_{i+1/2}^n = \\frac{1}{2} \n", "\\left [\n", "f(U_i^n) + f(U_{i+1}^n)\n", "\\right ]\n", "- \\frac{1}{2} |a_{i+1/2}| \\left (\n", "U_{i+1}^n - U_i^n\n", "\\right ), a_{i+1/2} = \\max(|f'(U_{i}|, |f'(U_{i+1}|)\n", " $$" ] }, { "cell_type": "markdown", "id": "c054665c", "metadata": {}, "source": [ "## High Resolution Scheme\n", "- 비선형 제한자를 도입하여 연속적인 구간에서는 2차 이상의 공간 정확도를 갖고, 충격파 부근에서만 1차 공간 정확도를 갖도록 한다.\n", "\n", "- 충격파 포착 기법 (Shock-capturing method)\n", "\n", "$$\n", "F^{HL} = F^{1st} + \\phi (F^{High} - F^{1st})\n", "$$" ] } ], "metadata": { "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": "3.11.2" } }, "nbformat": 4, "nbformat_minor": 5 }