| Issue |
ESAIM: M2AN
Volume 33, Number 1, January Fabruary 1999
|
|
|---|---|---|
| Page(s) | 113 - 120 | |
| DOI | https://doi.org/10.1051/m2an:1999108 | |
| Published online | 15 August 2002 | |
Prediction-correction legendre spectral scheme for incompressible fluid flow
1
Department of Applied Mathematics, Shanghai Jiao Tong
University,
Shanghai, 200030, P.R. China.
2
Department of Mathematics, Shanghai University,
Shanghai, 201800, P.R. China.
Received:
4
December
1996
Revised:
17
September
1997
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.
Résumé
Le problème de fluide incompressible à deux dimensions est considéré sous forme de fonction-courant. Un schéma de type prédiction-correction spectrale de Legendre est proposé, ce dernier étant facile à mettre en œuvre. La solution numérique possède une précision de second ordre en temps et d'ordre supérieur en espace. Les résultats numériques montrent la grande préscison de cette approche.
Mathematics Subject Classification: 65M70 / 35Q30 / 76D05
Key words: Incompressible fluid flow in stream function form / prediction-correction Legendre spectral scheme with high accuracy / convergence and numerical experiments.
© EDP Sciences, SMAI, 1999
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