Burgers方程具有内在并行性的交替分段显隐格式

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2020-01-02 DOI:10.1080/23324309.2019.1709081

Guanyu Xue, Hui Feng

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引用次数: 4

摘要

摘要本文针对Burgers方程，提出了一种具有内在并行性的交替分段显隐格式。该方案在空间上具有二阶截断误差，通过对线性化过程的分析，它是线性稳定的。ASE-I格式可以通过交替方向隐式（ADI）技术扩展到求解二维Burgers方程。数值实验表明，该方案有效可靠。

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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An Alternating Segment Explicit-Implicit Scheme with Intrinsic Parallelism for Burgers’ Equation

Abstract In this paper, an alternating segment explicit-implicit (ASE-I) scheme with intrinsic parallelism for Burgers’ equation is proposed. The scheme has second-order truncation error in space and it is linear stable by analysis of the linearization procedure. The ASE-I scheme can be extended to solve two-dimensional Burgers’ equations by alternating direction implicit (ADI) technique. Numerical experiments show the new scheme is efficient and reliable.

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来源期刊

Journal of Computational and Theoretical Transport Mathematics-Mathematical Physics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Emphasizing computational methods and theoretical studies, this unique journal invites articles on neutral-particle transport, kinetic theory, radiative transfer, charged-particle transport, and macroscopic transport phenomena. In addition, the journal encourages articles on uncertainty quantification related to these fields. Offering a range of information and research methodologies unavailable elsewhere, Journal of Computational and Theoretical Transport brings together closely related mathematical concepts and techniques to encourage a productive, interdisciplinary exchange of ideas.