Combined Legendre Spectral-Finite Element Method for the Two-Dimensional Unsteady Navier-Stokes Equation

Combined Legendre Spectral-Finite Element Method for the Two-Dimensional Unsteady Navier-Stokes Equation

Year:    1999

Author:    Song-Nian He, Cai-Ping Yang

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 495–508

Abstract

A combined Legenedre spectral-finite element approximation is proposed for solving two-dimensional unsteady Navier-Stokes equation. The artificial compressibility is used. The generalized stability and convergence are proved strictly. Some numerical results show the advantages of this method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1999-JCM-9120

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 495–508

Published online:    1999-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Navier-Stokes equation Combined Legendre spectral-finite element approximation.

Author Details

Song-Nian He

Cai-Ping Yang