Abound-preserving high order scheme for variable density incompressible Navier-Stokes equations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:425

Article

Li, Maojun¹  Cheng, Yongping²  Shen, Jie³  Zhang, Xiangxiong³ 

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

[3] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

关键词: Variable density incompressible flows;    Naiver-Stokes equations;    Discontinuous Galerkin method;    Bound-preserving scheme;    Finite element method;   

DOI  :  10.1016/j.jcp.2020.109906

来源: Elsevier

【 摘 要 】

For numerical schemes to the incompressible Navier-Stokes equations with variable density, it is a critical property to preserve the bounds of density. A bound-preserving high order accurate scheme can be constructed by using high order discontinuous Galerkin (DG) methods or finite volume methods with a bound-preserving limiter for the density evolution equation, with any popular numerical method for the momentum evolution. In this paper, we consider a combination of a continuous finite element method for momentum evolution and a bound-preserving DG method for density evolution. Fully explicit and explicit-implicit strong stability preserving Runge-Kutta methods can be used for the time discretization for the sake of bound-preserving. Numerical tests on representative examples are shown to demonstrate the performance of the proposed scheme. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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