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Conservative Finite Differences as an Alternative to Finite Volume for Compressible Flows
Citation key BrouwerReissSesterhenn2014a
Author Brouwer, Jens and Reiss, Julius and Sesterhenn, Jörn
Title of Book Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects
Pages 169-176
Year 2014
ISBN 978-3-319-05683-8
DOI 10.1007/978-3-319-05684-5_15
Volume 77
Editor Fuhrmann, Jürgen and Ohlberger, Mario and Rohde, Christian
Publisher Springer International Publishing
Series Springer Proceedings in Mathematics & Statistics
Abstract Finite Volume schemes are the natural choice when simulating flows with shocks, since conservation is essential in the physics and as such in the simulation of this phenomenon. But finite difference schemes can be conservative as well. Conservation requires in such schemes a high internal consistency of the spatial and the temporal discretization. We present a skew-symmetric finite difference scheme, which is fully conservative due to its consistency, still easy to implement and numerically efficient. A variety of different flow configurations containing shocks and turbulence are presented.
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