Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2008.3183.3190AzhdarzadehM.RazaviS.E.122008818In the present study, solution methods for velocity
and temperature fields of incompressible fluids are developed. The mathematical
characteristic of governing flow equation used for incompressible fluids
is changed from elliptic dominated to hyperbolic dominated, by applying
artificial compressibility concept. Resorting to the pseudo-compressibility
concept, the continuity constraint is perturbed by the time derivative
of pressure. In this study, to calculate convective fluxes, Roe Riemann
solver is applied to the equation and the required coefficients are derived
for both velocity and temperature fields of artificial compressible flows.
The discretized equation are solved by an explicit 5th order Runge-Kuta
time stepping scheme which is found to be efficient in terms of convergence
rate and stability. Faster convergence is achieved by applying local time
stepping. The equation are discretized in finite-volume cell-centered
approximation. The method is verified by solving fluid flow over circular
cylinder and lid driven cavity and comparing the results with those available
in literature. Finally, the convergence rate of the developed method is
compared with the averaging method, in which the current method shows
a noticeable reduction in iteration steps.]]>Anderson, P.D., B.J. Keestra and M.A. Hulsen,2006Bassi, F., A. Crivellini, D.A. Di Pietro and S. Rebay,2006Cheng, J. and C.W. Shu,2007Choi, J.I., R.C. Oberoi, J.R. Edwards and J.A. Rosati,2007Chorin, A.J.,1967Chun, W. and R.F. Boehm,1989Drikakis, D. and W. Rider,2004Guillard, H. and C. Viozart,1999Holman, J.P.,2002Kao, P.H. and R.J. Yang,2007Madsen, P.A. and H.A. Schaffer,2006Malan, A.G., R.W. Lewis and P. Nithiarasu,2002Rahman, M.M. and T. Siikonen,2001Roe, P.L.,1997Tai, C.H., Y. Zhao and K.M. Liew,2004Tang, H.S. and F. Sotiropoulos,2007Tsui, Y.Y and Y.F. Pan,2006Yang, J.Y., S.C. Yang, Y.N. Chen and C.A. Hsu,1998