A 4TH-ORDER-ACCURATE DIFFERENCE APPROXIMATION FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

Authors
HENSHAW WD KREISS HO REYNA LGM
Citation
Wd. Henshaw et al., A 4TH-ORDER-ACCURATE DIFFERENCE APPROXIMATION FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS, Computers & fluids, 23(4), 1994, pp. 575-593
Citations number
6
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Computer Science Interdisciplinary Applications
Journal title
Computers & fluids → ACNP
ISSN journal
00457930
Volume
23
Issue
4
Year of publication
1994
Pages
575 - 593
Database
ISI
SICI code
0045-7930(1994)23:4<575:A4DAFT>2.0.ZU;2-6
Abstract
We discuss fourth-order-accurate difference approximations for parabol ic systems and for the incompressible Navier-Stokes equations. A gener al principle for deriving numerical boundary conditions for higher-ord er-accurate difference schemes is described. Some difference approxima tions for parabolic systems are analyzed for stability and accuracy. T he principle is used to derive stable and accurate numerical boundary conditions for the incompressible Navier-Stokes equations. Numerical r esults are given from a fourth-order-accurate scheme for the incompres sible Navier-Stokes equations on overlapping grids in two- and three-s pace dimensions.