M. Manzan et al., A STREAMFUNCTION-VORTICITY FORMULATION OF SPATIALLY PERIODIC FLOWS, Communications in numerical methods in engineering, 13(11), 1997, pp. 867-874
In this paper we implement the spatially periodic boundary conditions
in finite element solutions of the Navier-Stokes equations based on th
e streamfunction-vorticity formulation. Periodic boundary conditions a
re enforced at both inflow/ouflow and lower/upper boundaries. As an ex
ample of application we consider the fluid flow, at two different Reyn
olds numbers, through an array of pin fins. The limiting assumption of
symmetry conditions at the boundaries parallel to the main flow is sh
own to yield unphysical-looking configurations. (C) 1997 John Wiley &
Sons, Ltd.