This paper provides a simple, efficient and robust numerical technique for solving 2-D incompressible steady viscous flows at moderate-to-high Reynolds numbers. The proposed approach employs an incremental multigrid method and an extrapolation procedure based on minimum residual concepts to accelerate the convergence rate of a robust block-line-Gauss-Seidel solver for the vorticity-stream function Navier-Stokes equations. Results are presented for the driven cavity flow problem using uniform and nonuniform grids and for the flow past a backward facing step in a channel. For this second problem, mesh refinement and Richardson extrapolation are used to obtain useful benchmark solutions in the full range of Reynolds numbers at which steady laminar flow is established.
|Titolo:||Efficient solutions of two-dimensional incompressible steady viscous flows|
|Data di pubblicazione:||1988|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1016/0045-7930(88)90001-1|
|Appare nelle tipologie:||1.1 Articolo in rivista|