Higher-order implicit-explicit multi-domain compressible Navier-Stokes solvers

JOURNAL OF COMPUTATIONAL PHYSICS

卷:391

Article

Bruno, Oscar R.¹  Cubillos, Max²  Jimenez, Edwin¹ 

[1] CALTECH, Dept Comp & Math Sci, MC 305-16, Pasadena, CA 91125 USA

[2] Riverside Res, Dayton, OH USA

关键词: Navier-Stokes;    Alternating direction implicit;    Fourier continuation;    Overset grid;    High-order;   

DOI  :  10.1016/j.jcp.2019.02.033

来源: Elsevier

【 摘 要 】

This paper presents a new class of solvers for the subsonic compressible Navier-Stokes equations in general two-and three-dimensional multi-domains. Building up on the recent single-domain ADI-based high-order Navier-Stokes solvers (Bruno and Cubillos (2016)[11]) this article presents multi-domain implicit-explicit methods of high-order of temporal accuracy. The proposed methodology incorporates: 1) Anovel linear-cost implicit solver based on use of high-order backward differentiation formulae (BDF) and an alternating direction implicit approach (ADI); 2) Afast explicit solver; 3) Nearly dispersionless spectral spatial discretizations; and 4) Adomain decomposition strategy that negotiates the interactions between the implicit and explicit domains. In particular, the implicit methodology is quasi-unconditionally stable (it does not suffer from CFL constraints for adequately resolved flows), and it can deliver orders of time accuracy between two and six in the presence of general boundary conditions. As demonstrated via a variety of numerical experiments in two and three dimensions, further, the proposed multi-domain parallel implicit-explicit implementations exhibit high-order convergence in space and time, robust stability properties, limited dispersion, and high parallel efficiency. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free