A scalable fully implicit method with adaptive time stepping for unsteady compressible inviscid flows

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	A scalable fully implicit method with adaptive time stepping for unsteady compressible inviscid flows
	Liu, YF; Yang, HJ; Jiang, C; Yang, C
	2016
发表期刊	COMPUTERS & STRUCTURES
ISSN	0045-7949
卷号	176 页码:1-12
摘要	The class of fully implicit methods is drawing more attention in the simulation of fluid dynamics for engineering community, due to the allowance of large time steps in extreme-scale simulations. In this paper, we introduce and study a scalable fully implicit method for the numerical simulations of unsteady compressible inviscid flows governed by the compressible Euler equations. In the method, a cell-centered finite volume scheme together with the local Lax-Friedrichs (LLF) formula is used for the spatial discretization, and a backward differentiation formula is applied to integrate the Euler equations in time. The resultant nonlinear system at each time step is then solved by a parallel Newton-Krylov method with a domain decomposition type preconditioner. To improve the performance of the proposed method, we introduce an adaptive time stepping method which adjusts the time step size according to the initial residual of Newton iterations. Therefore, the proposed fully implicit solver overcomes the often severe limits on the time steps associated with existing methods. Numerical experiments validate that the approach is effective and robust for the simulations of several compressible inviscid flows. We also show that the newly developed algorithm scales well with more than one thousand processor cores for the problem with tens of millions of unknowns. (C) 2016 Elsevier Ltd. All rights reserved.; The class of fully implicit methods is drawing more attention in the simulation of fluid dynamics for engineering community, due to the allowance of large time steps in extreme-scale simulations. In this paper, we introduce and study a scalable fully implicit method for the numerical simulations of unsteady compressible inviscid flows governed by the compressible Euler equations. In the method, a cell-centered finite volume scheme together with the local Lax-Friedrichs (LLF) formula is used for the spatial discretization, and a backward differentiation formula is applied to integrate the Euler equations in time. The resultant nonlinear system at each time step is then solved by a parallel Newton-Krylov method with a domain decomposition type preconditioner. To improve the performance of the proposed method, we introduce an adaptive time stepping method which adjusts the time step size according to the initial residual of Newton iterations. Therefore, the proposed fully implicit solver overcomes the often severe limits on the time steps associated with existing methods. Numerical experiments validate that the approach is effective and robust for the simulations of several compressible inviscid flows. We also show that the newly developed algorithm scales well with more than one thousand processor cores for the problem with tens of millions of unknowns. (C) 2016 Elsevier Ltd. All rights reserved.
收录类别	SCI
关键词	Compressible Inviscid Flows Finite Volume Scheme Fully Implicit Method Newton-krylov Method Parallel Scalability
部门归属	Hunan Univ, Coll Mech & Vehicle Engn, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China. Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China. Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China. Chinese Acad Sci, State Key Lab Comp Sci, Beijing 100190, Peoples R China.
语种	英语
WOS记录号	WOS:000383930100001
引用统计
内容类型	期刊论文
URI标识	http://ir.iscas.ac.cn/handle/311060/17296
专题	中国科学院软件研究所
推荐引用方式 GB/T 7714	Liu, YF,Yang, HJ,Jiang, C,et al. A scalable fully implicit method with adaptive time stepping for unsteady compressible inviscid flows[J]. COMPUTERS & STRUCTURES,2016,176:1-12.
APA	Liu, YF,Yang, HJ,Jiang, C,&Yang, C.(2016).A scalable fully implicit method with adaptive time stepping for unsteady compressible inviscid flows.COMPUTERS & STRUCTURES,176,1-12.
MLA	Liu, YF,et al."A scalable fully implicit method with adaptive time stepping for unsteady compressible inviscid flows".COMPUTERS & STRUCTURES 176(2016):1-12.

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