Mixed Spherical Harmonic-Generalized Laguerre Spectral Approximation and Its Application to Navier-Stokes Equations Set in Exterior Domain

Author

Xiao-yong, Zhang ; Tong-ke, Ning

Author_Institution

Dept. of Math., Shanghai Maritime Univ., Shanghai, China

fYear

2010

fDate

17-19 Dec. 2010

Firstpage

478

Lastpage

481

Abstract

Mixed spherical harmonic-generalized Laguerre spectral method is proposed for Navier-Stokes equations set in exterior domain. Its stability and convergence are proved. Numerical result demonstrate the efficiency of this approach. Some results on the spherical harmonic-generalized Laguerre approximation are established, which play an important role in numerical analysis in spectral method in spherical geometry.

Keywords

Navier-Stokes equations; approximation theory; numerical stability; spectral analysis; Navier-Stokes equations; convergence; exterior domain; mixed spherical harmonic-generalized Laguerre spectral approximation; mixed spherical harmonic-generalized Laguerre spectral method; numerical analysis; spherical geometry; stability; Approximation methods; Convergence; Equations; Harmonic analysis; Mathematical model; Navier-Stokes equations; Exterior domain.; Mixed spherical harmonic-generalized Laguerre spectral method; Navier-Stokes equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational and Information Sciences (ICCIS), 2010 International Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4244-8814-8

Electronic_ISBN

978-0-7695-4270-6

Type

conf

DOI

10.1109/ICCIS.2010.124

Filename

5709128