Stable schemes for second-moment turbulent models for incompressible flows

Abstract

A stable scheme is proposed in this paper in order to obtain approximate solutions of second-moment turbulent models for incompressible flows with or without thermal transport equation. The analysis of the convective terms, which includes the solution of the associated Riemann problem, enables to propose a standard projection scheme, and to get rid of spurious oscillations.

Keywords

• second-moment turbulent closure
• incompressible turbulent flows
• hyperbolic systems
• Riemann problem
• numerical scheme