High Order Simulation of Viscous Incompressible Flows at High Reynolds Numbers

Jian-Guo Liu
Department of Mathematics
University of Maryland
College, MD 45221-0172, USA


We will survey a class of efficient high order finite difference schemes and finite element methods for viscous incompressible flows suitable for the computation of flows at very high Reynolds numbers and complicated geometry. The viscous term is treated explicitly and a high order local vorticity boundary formula is used. The main computation is reduced to solving a stan-dard Poisson equation at each time step. We will present computations using the above methods for such problems as the backward-facing step flow with 500

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