A HERMITIAN-FOURIER NUMERICAL-METHOD FOR SOLVING THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

Authors
SCHIESTEL R VIAZZO S
Citation
R. Schiestel et S. Viazzo, A HERMITIAN-FOURIER NUMERICAL-METHOD FOR SOLVING THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS, Computers & fluids, 24(6), 1995, pp. 739-752
Citations number
22
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Computer Science Interdisciplinary Applications
Journal title
Computers & fluids → ACNP
ISSN journal
00457930
Volume
24
Issue
6
Year of publication
1995
Pages
739 - 752
Database
ISI
SICI code
0045-7930(1995)24:6<739:AHNFST>2.0.ZU;2-3
Abstract
A numerical method for solving the three-dimensional unsteady Navier-S tokes equations is presented. The method is based on a time-splitting scheme and introduces an hybrid Fourier pseudospectral and Hermitian f inite difference scheme in space along with an efficient projection me thod for solving the pressure-velocity coupling. The important feature of the method relies on the iterative solution of pressure that gives Hermitian accuracy by iteratively solving only a classical second ord er Poisson equation. The method is applied on test cases in channel fl ow.