Title :
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
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;
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
DOI :
10.1109/ICCIS.2010.124
