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Journal of Applied Sciences
Year: 2008  |  Volume: 8  |  Issue: 10  |  Page No.: 1905 - 1911

Characteristics-Based Finite-Volume Solution for Natural Convection Around a Horizontal Cylinder

Seyed Esmail Razavi, Farzad Barar and Vahid Farhangmehr    

Abstract: In the current investigation, a Characteristics-Based (CB) finite-volume solution was developed to improve the convergence rate and the solution stability of the numerical simulation of incompressible viscous flows. The Artificial Compressibility Method (ACM) as a pre-conditioner was taken into account in our study. A fifth-order Runge-Kutta scheme has been used for marching in time. Local time stepping and implicit residual smoothing were applied as convergence acceleration techniques. The convective fluxes have been calculated by a Roe-like high-order flux splitting scheme. The viscous and thermal conduction terms were found by a second-order technique. This method admitted high Courant-Friedrichs-Levy (CFL) numbers and revealed a good convergence rate and accuracy within a wide range of Rayleigh numbers from 1 to 10000 for natural convection flow around a horizontal circular cylinder which is chosen as a case study. The obtained results were compared with available benchmark data in literature and showed a high consensus with them.

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