CONTROLLED VARIATION SCHEME IN A SEQUENTIAL SOLVER FOR RECIRCULATING FLOWS, PART II: APPLICATIONS

Abstract

A controlled variation scheme (CVS) in the context of a sequential pressure-based solver for incompressible steady-state Navier-Stokes equations has been formulated in Part I of this work. In the present work, two-dimensional test cases such as laminar flows in a lid-driven cavity and over a backward-facing step as well as a turbulent flow over a backward-facing step are used to assess the performance of the CVS and the interaction of the net numerical viscosity with the grid resolution. It is demonstrated that the concept of a controlled variation scheme, with its nonlinear numerical dissipation that is dependent on the local solution gradients, holds promise in terms of computations of strongly convective flows using pressure-based algorithms.