求解Navier-Stokes和Burgers方程的全局随机网格行走算法

IF 0.8 Q3 STATISTICS & PROBABILITY

Monte Carlo Methods and Applications Pub Date : 2022-10-28 DOI:10.1515/mcma-2022-2126

K. Sabelfeld, Oleg Bukhasheev

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引用次数: 0

摘要

摘要提出了求解二维非线性方程组Navier–Stokes和Burgers方程的全局随机网格行走方法。本研究扩展了我们早期开发的用于求解半导体非线性漂移扩散泊松方程的GRWG（Physica A 556（2020），文章ID 124800）。Burgers方程是通过线性漂移扩散方程组的直接迭代求解的，而Navier–Stokes方程是通过流函数涡度公式求解的。

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Global random walk on grid algorithm for solving Navier–Stokes and Burgers equations

Abstract The global random walk on grid method (GRWG) is developed for solving two-dimensional nonlinear systems of equations, the Navier–Stokes and Burgers equations. This study extends the GRWG which we have earlier developed for solving the nonlinear drift-diffusion-Poisson equation of semiconductors (Physica A 556 (2020), Article ID 124800). The Burgers equation is solved by a direct iteration of a system of linear drift-diffusion equations, while the Navier–Stokes equation is solved in the stream function-vorticity formulation.

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来源期刊

Monte Carlo Methods and Applications STATISTICS & PROBABILITY-

CiteScore

1.20

自引率

22.20%

发文量