Numerical Simulation of 2-Dimensional Cavity Flow Using the K-ε Model of Turbulence In Generalized Coordinates

Abstract

A calcuration procedure to predict incompressible turbulent flows in arbitrary shapes is presented. The procedure is based on the solution of primitive variable formulation of the time dependent Reynolds averaged Navier-Stokes equations in general curvilinear coordinates. A 3rd-order upwind differencing approximation method for the convective terms in governing equations is used. The 3rd-order method is based on the Quadratic Upstream Interpolation for Convective Kinematics (QUICK) algorithm. The k-ε E model of turbulence is used to describe the turbulent flow process with particular attention to the boundary conditions. The solutions for a time dependent square cavity flow at the Reynolds number of 10⁵ are obtained.