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Conservative, Skew–Symmetric Discretization of the Compressible Navier–Stokes Equations
Citation key ReissSesterhenn2013
Author Reiss, Julius and Sesterhenn, Jörn
Title of Book New Results in Numerical and Experimental Fluid Mechanics VIII: Contributions to the 17th STAB/DGLR Symposium Berlin, Germany 2010
Pages 395–402
Year 2013
ISBN 978-3-642-35680-3
DOI 10.1007/978-3-642-35680-3_47
Address Berlin, Heidelberg
Editor Dillmann, Andreas and Heller, Gerd and Kreplin, Hans-Peter and Nitsche, Wolfgang and Peltzer, Inken
Publisher Springer Berlin Heidelberg
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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