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

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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.

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Authors and Affiliations

  1. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, 610054, P. R. China

    Luo Yan  (骆艳) & Feng Min-fu  (冯民富)

  2. School of Mathematics, Sichuan University, Chengdu, 610064, P. R. China

    Feng Min-fu  (冯民富)

Authors
  1. Luo Yan  (骆艳)
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  2. Feng Min-fu  (冯民富)
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Corresponding author

Correspondence to Feng Min-fu  (冯民富).

Additional information

Communicated by LU Chuan-jing

Project supported by the Science and Technology Foundation of Sichuan Province (No. 05GG006-006-2) and the Research Fund for the Introducing Intelligence of University of Electronic Science and Technology of China

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Luo, Y., Feng, Mf. Discontinuous element pressure gradient stabilizations for compressible Navier-Stokes equations based on local projections. Appl. Math. Mech.-Engl. Ed. 29, 171–183 (2008). https://doi.org/10.1007/s10483-008-0205-z

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  • DOI: https://doi.org/10.1007/s10483-008-0205-z

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