, Volume 29, Issue 2, pp 171-183

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.

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