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Prediction-correction legendre spectral schemefor 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.
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Abstract

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

Type
Research Article
Copyright
© EDP Sciences, SMAI, 1999

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