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Elsevier, Computers and Fluids, (101), p. 208-219, 2014

DOI: 10.1016/j.compfluid.2014.06.004

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A conservative, skew-symmetric Finite Difference Scheme for the compressible Navier--Stokes Equations

Journal article published in 2013 by Julius Reiss, Jörn Sesterhenn ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

We present a fully conservative, skew-symmetric finite difference scheme on transformed grids. The skew-symmetry preserves the kinetic energy by first principles, simultaneously avoiding a central instability mechanism and numerical damping. In contrast to other skew-symmetric schemes no special averaging procedures are needed. Instead, the scheme builds purely on point-wise operations and derivatives. Any explicit and central derivative can be used, permitting high order and great freedom to optimize the scheme otherwise. This also allows the simple adaption of existing finite difference schemes to improve their stability and damping properties.