Finite volume computation of 2D incompressible turbulent flows in general coordinates on staggered grids

M. Zijlema, A. Segal and P. Wesseling

Abstract:

A brief review of some publications on computation of incompressible turbulent flow in complex geometries is given. A 2D finite volume method for the calculation of turbulent flow in general curvilinear coordinates is described. This method is based on a staggered grid arrangement and the contravariant flux components are chosen as primitive variables. Turbulence is modeled by the standard k- model with wall functions. Applications of this method to a variety of flows are presented. The results of computations are compared with experimental data and other numerical solutions and are found to be satisfactory.

• Introduction
• Equations governing incompressible turbulent flows in general coordinates
• Discretization of the governing equations
  • Invariant finite volume discretization
  • Time discretization and solution method
• Results
  • Driven cavity flow
  • Turbulent flow over a backward facing step
  • Turbulent flow through a constricted tube
  • Turbulent flow through an U-bend
• Conclusions
• References
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