Modeling turbulent recirculating flows by finite-volume methods—current status and future directions☆

Abstract Three-dimensional and recirculating flows of direct industrial relevance and realistic geometry are now well within the scope of CFD capabilities. However, none of the fundamental modeling issues, be it numerical or physical, can be said to have reached a degree of maturity for any particular practice to be perceived or accepted as a standard, and research continues at an unabated level along all fronts. This paper aims to outline the current status of some of the influential issues contributing towards any computational procedure based on the finite-volume approach and intended for modeling complex separated turbulent flow. The main areas covered are: discretization of convection, including bounding schemes, solution algorithms—specifically aspects concerned with maintaining spatial and intervariate coupling, geometric flexibility and turbulence modeling. The survey, however fleeting and superficial, indicates that current developments point towards the use of bounded quadratic approximations, multilevel (or multigrid) acceleration (for steady problems) and second-moment (Reynolds stress/flux) closures within the framework of nonorthogonal grids in which a Cartesian velocity decomposition is adopted.

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