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A fully implicit method for steady and unsteady viscous flow simulations
Author(s) -
Li Jie,
Li Fengwei,
E Qin
Publication year - 2003
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.601
Subject(s) - discretization , computation , flow (mathematics) , finite volume method , computational fluid dynamics , mechanics , mathematics , viscous flow , unsteady flow , viscous liquid , computer science , mathematical analysis , algorithm , physics
In this paper a time‐accurate, fully implicit method has been applied to solve a variety of steady and unsteady viscous flow problems. It uses a finite volume cell‐centred formulation on structured grids and employs central space discretization with artificial dissipation for the residual computation. In order to obtain a second‐order time‐accurate implicit scheme, a Newton‐like subiteration is performed in the original LU‐SGS method to converge the calculations at each physical time step by means of a dual‐time approach proposed by Jameson. The numerical experiments show that the present method is very efficient, reliable, and robust for steady and unsteady viscous flow simulations, especially for some low speed flow problems. Copyright © 2003 John Wiley & Sons, Ltd.