Title: A two-dimensional TVD scheme for incompressible turbulent flows with pseudo-compressibility method

Authors: Jiasong Wang

Addresses: School of Naval Architecture, Ocean & Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Abstract: A finite-difference Total Variation Diminishing (TVD) numerical model for solving two-dimensional incompressible turbulent flow problems based on the pseudo-compressibility method is developed. Numerical simulations for modelling a backward-facing step flow, a flow over a surface-mounted square rib, and a flow around a square cylinder displaying an unsteady vortex shedding process were implemented and validated by comparing with the available experimental data and other numerical results. The TVD scheme with a proper turbulence model has very good accuracy. The RNG and Chen-Kim k − ε turbulence models have much better ability of predicting the vortex structure and flow separation characteristics than the standard k − ε model.

Keywords: TVD; total variation diminishing; finite difference method; pseudo-compressibility; RANS; Reynolds averaged Navier-Stokes; turbulence modelling; incompressible turbulent flows; simulation; vortex structure; flow separation.

DOI: 10.1504/PCFD.2009.023352

Progress in Computational Fluid Dynamics, An International Journal, 2009 Vol.9 No.2, pp.86 - 95

Published online: 19 Feb 2009 *

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