Hostname: page-component-848d4c4894-sjtt6 Total loading time: 0 Render date: 2024-07-02T10:36:44.200Z Has data issue: false hasContentIssue false

Prediction-correction legendre spectral scheme for incompressible fluid flow

Published online by Cambridge University Press:  15 August 2002

He Li-ping
Affiliation:
Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai, 200030, P.R. China.
Mao De-kang
Affiliation:
Department of Mathematics, Shanghai University, Shanghai, 201800, P.R. China.
Guo Ben-yu
Affiliation:
Department of Mathematics, Shanghai University, Shanghai, 201800, P.R. China.
Get access

Abstract

The initial-boundary value problem of two-dimensional incompressible fluid flow in stream function form is considered. A prediction-correction Legendre spectral scheme is proposed, which is easy to be performed. The numerical solution possesses the accuracy of second-order in time and higher order in space. The numerical experiments show the high accuracy of this approach.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)