Comparative Study of Alternative Reconstruction Schemes for Flux Evaluation within a Pressure-Based, Fully-Collocated Unstructured FV Scheme for Incompressible Flow

This paper addresses a number of numerical issues associated with Finite Volume (FV) discretisation of the incompressible Navier-Stokes (NS) equations on unstructured meshes. This is done in the context of a numerical scheme which is based on a cell-centred, fully collocated storage arrangement, adopts equal-order interpolation for pressure and velocity, and determines the pressure from the solution of the Pressure-Poisson equation. The performance of the method as a whole is then illustrated by reference to the 2D computations for laminar and turbulent vortex shedding behind prismatic cylinders, with turbulence effects represented by linear and cubic low-Reynolds-number two-equation eddy-viscosity models.