Abstract
We present a fully conservative finite difference scheme for the compressible Navier–Stokes equations. Due to its skew symmetry it is possible to have no physical or artificial damping. Therefore it is especially suited for simulating configurations where perfect conservation is needed along with low damping. The full conservation properties for compressible FD on arbitrarily transformed grids for discrete time and high order derivatives are to our knowledge new.
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Reiss, J., Sesterhenn, J. (2013). Conservative, Skew–Symmetric Discretization of the Compressible Navier–Stokes Equations. In: Dillmann, A., Heller, G., Kreplin, HP., Nitsche, W., Peltzer, I. (eds) New Results in Numerical and Experimental Fluid Mechanics VIII. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35680-3_47
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DOI: https://doi.org/10.1007/978-3-642-35680-3_47
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-35679-7
Online ISBN: 978-3-642-35680-3
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