Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model

Yan, Zhengzheng1; Chen, Rongliang1; Wang, Chao2; Xu, Lei1; Li, Jingzhi3,4,5

2023-06-01

10.4208/aamm.OA-2022-0147

Advances in Applied Mathematics and Mechanics   Impact Factor & Quartile

2070-0733

2075-1354

The Ahmed model is a standard bluff body used to study the flow behavior around an automobile. An important issue when investigating turbulent flow fields is the large computational load driven by accurate prediction approaches, such as the large eddy simulation model. In this paper, we present a powerful domain de-composition method-based parallel solver to efficiently utilize existing supercomputer resources. The 3D unsteady incompressible Navier-Stokes equations with a subgrid-scale (SGS) fluid model are discretized on a pure unstructured tetrahedral grid by a stable P1-P1 finite element method in space, while an implicit second-order backward differentiation formula is employed for the time discretization. We then solve the non-linear algebraic system by means of the Newton-Krylov-Schwarz method by impos-ing a restricted additive Schwarz (RAS) right preconditioner for the parallel setting. We validate the proposed method toward the comparison of the flow field, includ-ing the velocity profiles and flow structures, with experimental investigations, and we show the parallel efficiency and scalability of the solver with up to 8192 processors.

Aerodynamics Ahmed model full Navier-Stokes equations Newton-Krylov-Schwarz algorithm parallel computing

SCI

English

Corresponding

Natural Science Foundation of China[11901559] ; Shenzhen Sci-Tech Fund["RCJC20200714114556020","JCYJ20190809150413261","JCYJ20180507182506416","JCYJ20200109115422828"] ; NSF of China[11971221] ; Guangdong NSF Major Fund[2021ZDZX1001] ; Guangdong Provincial Key Laboratory of Computational Science and Material Design[2019B030301001]

Mathematics ; Mechanics

Mathematics, Applied ; Mechanics

WOS:000944153900003

GLOBAL SCIENCE PRESS

Web of Science

1.Chinese Acad Sci, Shenzhen Inst Adv Technol, Shenzhen 518055, Peoples R China
2.Shenzhen MSU BIT Univ, Fac Computat Math & Cybernet, Shenzhen 518172, Peoples R China
3.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
4.Southern Univ Sci & Technol, Natl Ctr Appl Math Shenzhen, Shenzhen 518055, Peoples R China
5.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen 518055, Peoples R China

Yan, Zhengzheng,Chen, Rongliang,Wang, Chao,et al. Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model[J]. Advances in Applied Mathematics and Mechanics,2023,15(3).

Yan, Zhengzheng,Chen, Rongliang,Wang, Chao,Xu, Lei,&Li, Jingzhi.(2023).Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model.Advances in Applied Mathematics and Mechanics,15(3).

Yan, Zhengzheng,et al."Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model".Advances in Applied Mathematics and Mechanics 15.3(2023).