Department of Chemical and Materials Engineering
University of Kentucky
Lexington, KY 40506-0046, USA
This paper describes a multigrid finite volume method and its application to pipe-entrance flow simulation for both laminar and turbulent situations. The incompressible Navier-Stokes equation is used for the laminar pipe flow and the two-equation $k - \omega$ model is applied for turbulent simulation. The solver is written in boundary-fitted non-orthogonal coordinates and based on unsteady-state equations, where temporary terms are discretized by the fully implicit second order Euler method. Multigrid V-cycle algorithm is used to solve the Poisson equation for fast solution, which allows for non-uniform grid spacing and any level of grids. An incomplete lower-upper decomposition (ILU) type of method is used as the smoother for the multigrid procedure.
Mathematics Subject Classification:
This research work was supported in part by NSF under grants CCR-0092532, and CCF-0527967.