基于伪谱配置法的burgers方程的降阶建模数值解

IF 0.3 Q4 MATHEMATICS, APPLIED

Journal of the Korean Society for Industrial and Applied Mathematics Pub Date : 2015-06-25 DOI:10.12941/JKSIAM.2015.19.123

Jeong-Kweon Seo, B. Shin

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引用次数: 5

摘要

本文研究了基于伪谱配置法的Burgers方程降阶建模方法。通过适当的正交分解(POD)得到ROM基。在时间离散化中采用Crank-Nicolson格式，在空间离散化中基于牛顿法采用伪谱元配置法求解线性化方程。我们给出了基于pod的算法，并给出了一些数值实验来证明我们提出的方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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NUMERICAL SOLUTIONS OF BURGERS EQUATION BY REDUCED-ORDER MODELING BASED ON PSEUDO-SPECTRAL COLLOCATION METHOD

In this paper, a reduced-order modeling(ROM) of Burgers equations is studied based on pseudo-spectral collocation method. A ROM basis is obtained by the proper orthogonal decomposition(POD). Crank-Nicolson scheme is applied in time discretization and the pseudo-spectral element collocation method is adopted to solve linearlized equation based on the Newton method in spatial discretization. We deliver POD-based algorithm and present some numerical experiments to show the efficiency of our proposed method.

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来源期刊

Journal of the Korean Society for Industrial and Applied Mathematics MATHEMATICS, APPLIED-

自引率

33.30%

发文量