A high order semi-implicit IMEX WENO scheme for the all-Mach isentropic Euler system

JOURNAL OF COMPUTATIONAL PHYSICS

卷:392

Article

Boscarino, Sebastiano¹  Qiu, Jing-Mei²  Russo, Giovanni¹  Xiong, Tao³ 

[1] Univ Catania, Dept Math & Comp Sci, I-95125 Catania, Italy

[2] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

[3] Xiamen Univ, Sch Math Sci, Fujian Prov Key Lab Math Modeling & High Performa, Xiamen 361005, Fujian, Peoples R China

关键词: Asymptotic preserving;    Semi-implicit;    IMEX;    WENO reconstruction;    Low-Mach;    Incompressible solver;   

DOI  :  10.1016/j.jcp.2019.04.057

来源: Elsevier

【 摘 要 】

In this paper, new high order schemes are constructed and analyzed, for the numerical solution of Euler equations of isentropic gas dynamics. Material waves are treated explicitly, while acoustic waves are treated implicitly, thus avoiding severe CFL restrictions for low Mach flows. High order accuracy in space is obtained by finite difference WENO schemes; while high order in time is obtained by IMEX methods with semi-implicit linearization treatment. The schemes are proven to be asymptotic preserving and asymptotic accurate as the Mach number vanishes. Several tests in one and two space dimensions illustrate the effectiveness of the proposed schemes. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free