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
刊名	COMPUTERS & STRUCTURES
	2016
卷号	176 页码:1-12
关键词	Compressible inviscid flows Finite volume scheme Fully implicit method Newton-Krylov method Parallel scalability
ISSN号	0045-7949
中文摘要	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.
英文摘要	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.
收录类别	SCI
语种	英语
WOS记录号	WOS:000383930100001
公开日期	2016-12-09
内容类型	期刊论文
源URL	[http://ir.iscas.ac.cn/handle/311060/17296]
专题	软件研究所_软件所图书馆_期刊论文
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.