Essentially compact schemes for unsteady viscous incompressible flows
type: Item
instance of: scholarly article
title: Essentially compact schemes for unsteady viscous incompressible flows
zbMATH Open document ID: 0853.76045
author: Jian-Guo Liu
author: Weinan E
published in: Journal of Computational Physics
publication date: 1996-09-05T00:00:00Z
review text: A new fourth-order accurate finite difference scheme for the computation of unsteady viscous incompressible flows is introduced. The scheme is based on the vorticity-stream function formulation. It is essentially compact and has the nice features of a compact scheme with regard to the treatment of boundary conditions. At every time step or Runge-Kutta stage, only two Poisson-like equations have to be solved. This scheme is applied to the driven cavity flow at Reynolds number \(10^6\) on a \(1024^2\) grid at a reasonable cost. Fourth order convergence is proved under mild regularity requirements.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 896668
zbMATH Keywords: fourth-order accurate scheme
zbMATH Keywords: vorticity-stream function formulation
zbMATH Keywords: two Poisson-like equations
zbMATH Keywords: driven cavity flow
zbMATH Keywords: convergence
MaRDI profile type: Publication
OpenAlex ID: W2061170279
DOI: 10.1006/JCPH.1996.0125
description: scientific article; zbMATH DE number 896668