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Discontinuous element pressure gradient stabilizations for compressible Navier-Stokes equations based on local projections
Authors:Luo Yan  Feng Min-fu
Institution:1. School of Applied Mathematics,Universitv of Electronic Science and Technology of China,Chengdu 610054,P.R.China
2. School of Applied Mathematics,Universitv of Electronic Science and Technology of China,Chengdu 610054,P.R.China;School of Applied Mathematics,Universitv of Electronic Science and Technology of China,Chengdu 610054,P.R.China
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.
Keywords:discontinuous finite element methods  pressure gradient projection methods  compressible Navier-Stokes equations  error estimation
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