Mixed Spectral Method for Navier-Stokes Equations in an Infinite Strip by Using Generalized Laguerre Functions
Year: 2012
Author: Yujian Jiao, Benyu Guo
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 4 : pp. 982–998
Abstract
In this paper, we propose a mixed spectral method for the Navier-Stokes equations in an infinite strip by using generalized Laguerre functions. We establish some results on mixed generalized Laguerre-Legendre approximation, which play important roles in spectral method for fourth order differential equations. A mixed spectral scheme is provided for stream function form of the Navier-Stokes equations. Its stability and convergence are proved. Numeric results demonstrate the efficiency of suggested algorithm.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-IJNAM-669
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 4 : pp. 982–998
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Mixed generalized Laguerre-Legendre spectral method stream function form of Navier-Stokes equations in an infinite strip.