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Prediction-correction legendre spectral scheme for incompressible fluid flow

Published online by Cambridge University Press:  15 August 2002

He Li-ping ,
Mao De-kang  and
Guo Ben-yu
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.
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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.

Keywords

Incompressible fluid flow in stream function formprediction-correction Legendre spectral scheme with high accuracyconvergence and numerical experiments.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 1 , January 1999 , pp. 113 - 120
Copyright
© EDP Sciences, SMAI, 1999

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