An Enhanced Flux Treatment in Solving Incompressible Flow in a Forward-Facing Step

Document Type : Research Paper


1 Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran.

2 Islamic Azad University, Ahar Branch, Iran


The aim of this paper is to give a detailed effect of several parameters such as step height, Reynolds number, contraction ratio, and temperature difference between the entrance and solid boundaries, of a forward-facing step. An accurate length of separation and reattachment zones are achieved. A finite-volume method (FVM) has been developed to study incompressible flow in a forward-facing step along with artificial compressibility technique. The governing equations are solved by time marching using a fifth-order Runge-Kutta time stepping. The proposed explicit finite volume method uses a new biasing discretization in space. The proposed model reveals that pressure and velocity fields are determinable in a wide range of Reynolds numbers up to 330 without artificial dissipation. The numerical results agree well with the available experimental and numerical data.


Main Subjects

        Stuer, H., Gyr, A., and Kinzelbach, W., “Laminar Separation on a Forward-facing Step”, European Journal of Mechanics B/Fluids, Elsevier, Paris, Vol. 18, pp. 675-692, (1999).
[2]       Abu-Mulaweh, H. I., “A Review of Research on Laminar Mixed Convection Flow Over Backward and Forward-facing Steps”, International Journal of Thermal Sciences, Elsevier, Vol. 42, pp. 897-909, (2003).
[3]       Barbosa, J. G., and Anand, N. K., “Flow Over a Three-dimensional Horizontal Forward-facing Step”, Numerical Heat Transfer, Part A, Vol. 53, pp. 1-17, (2008).
[4]       Jameson, A., Schmidt, W., and Turkel, E., “Numerical Solutions of the Euler Equations by Finite Volume Methods using Runge-Kutta Time-stepping Schemes”, AIAA 14th Fluid and Plasma Dynamics Conference, Palo Alto, (1981).
[5]       Razavi, S. E., Mirzaee, B., and Khoshravan, E., “Finite-volume Solution of a Circular Cylinder in Cross Flow with Heat Transfer”, IJE Transactions A: Basics, Vol. 15, No. 3, pp. 303-314, (2002).
[6]       Pan, D., and Cheng, J. C., “Upwind Finite-volume Navier-Stokes Computation on Unstructured Triangular Meshes”, AIAA Journal, Vol. 31, No. 9, (1993).
[7]       Chorin, A. J., “A Numerical Method for Solving Incompressible Viscous Flow Problems”, Journal of Computational Physics, Vol. 2, No. 1, pp. 12-26, (1967).
[8]       Volpe, G., “On the use and Accuracy of Compressible Flow Codes at Low Mach Numbers”, AIAA 91-1662, (1991).
[9]       Blazek, J., “Computational Fluid Dynamics: Principles and Applications”, Elsevier, pp. 440, (2001).
[10]     Zamzamian, K., and Razavi, S. E., “Multidimensional Upwinding for Incompressible Flow Based on Characteristics”, Journal of Computational Physics, Vol. 228, pp. 8699-8713, (2008).