Applied Mathematics and Mechanics

, Volume 29, Issue 2, pp 171–183

Discontinuous element pressure gradient stabilizations for compressible Navier-Stokes equations based on local projections

Authors

  • Luo Yan 骆艳
    • School of Applied MathematicsUniversity of Electronic Science and Technology of China
    • School of Applied MathematicsUniversity of Electronic Science and Technology of China
    • School of MathematicsSichuan University
Article

DOI: 10.1007/s10483-008-0205-z

Cite this article as:
Luo, Y. & Feng, M. Appl. Math. Mech.-Engl. Ed. (2008) 29: 171. doi:10.1007/s10483-008-0205-z

Abstract

A pressure gradient discontinuous finite element formulation for the compressible Navier-Stokes equations is derived based on local projections. The resulting finite element formulation is stable and uniquely solvable without requiring a B-B stability condition. An error estimate is obtained.

Key words

discontinuous finite element methodspressure gradient projection methodscompressible Navier-Stokes equationserror estimation

Chinese Library Classification

O242.21

2000 Mathematics Subject Classification

76D0565N3065N15

Copyright information

© Editorial Committee of Appl. Math. Mech. and Springer-Verlag 2008