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Applications of the artificial compressibility method for turbulent open channel flows
Author(s) -
Lee J. W.,
Teubner M. D.,
Nixon J. B.,
Gill P. M.
Publication year - 2006
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.1137
Subject(s) - compressibility , mathematics , turbulence , navier–stokes equations , euler equations , upwind scheme , pressure correction method , mathematical analysis , hyperbolic partial differential equation , computational fluid dynamics , reynolds averaged navier–stokes equations , time derivative , conservation law , physics , mechanics , partial differential equation , discretization
A three‐dimensional (3‐D) numerical method for solving the Navier–Stokes equations with a standard k–ε turbulence model is presented. In order to couple pressure with velocity directly, the pressure is divided into hydrostatic and hydrodynamic parts and the artificial compressibility method (ACM) is employed for the hydrodynamic pressure. By introducing a pseudo‐time derivative of the hydrodynamic pressure into the continuity equation, the incompressible Navier–Stokes equations are changed from elliptic‐parabolic to hyperbolic‐parabolic equations. In this paper, a third‐order monotone upstream‐centred scheme for conservation laws (MUSCL) method is used for the hyperbolic equations. A system of discrete equations is solved implicitly using the lower–upper symmetric Gauss–Seidel (LU‐SGS) method. This newly developed numerical method is validated against experimental data with good agreement. Copyright © 2005 John Wiley & Sons, Ltd.