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Title: Development of an artificial compressibility methodology with implicit LU-SGS method
Authors: Lee, T.S. 
Wei, L. 
Low, H.T. 
Keywords: Artificial compressibility
Time-accurate scheme
Issue Date: 2001
Citation: Lee, T.S.,Wei, L.,Low, H.T. (2001). Development of an artificial compressibility methodology with implicit LU-SGS method. International Journal of Computational Fluid Dynamics 15 (3) : 197-208. ScholarBank@NUS Repository.
Abstract: A numerical method has been developed to solve the steady and unsteady incompressible Navier-Stokes equations in a two-dimensional, curvilinear coordinate system. The solution procedure is based on the method of artificial compressibility and uses a third-order flux-difference splitting upwind differencing scheme for convective terms and second-order center difference for viscous terms. A time-accurate scheme for unsteady incompressible flows is achieved by using an implicit real time discretization and a dual-time approach, which introduces pseudo-unsteady terms into both the mass conservation equation and momentum equations. An efficient fully implicit algorithm LU-SGS, which was originally derived for the compressible Eulur and Navier-Stokes equations by Jameson and Yoon [1], is developed for the pseudo-compressibility formulation of the two dimensional incompressible Navier-Stokes equations for both steady and unsteady flows. A variety of computed results are presented to validate the present scheme. Numerical solutions for steady flow in a square lid-driven cavity and over a backward facing step and for unsteady flow in a square driven cavity with an oscillating lid and in a circular tube with a smooth expansion are respectively presented and compared with experimental data or other numerical results. © 2001 OPA (Overseas Publishers Association) N.V. Published by license under the Gordon and Breach Science Publishers imprint, a member of the Taylor & Francis Group.
Source Title: International Journal of Computational Fluid Dynamics
ISSN: 10618562
Appears in Collections:Staff Publications

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