On Skew-Symmetric Splitting and Entropy Conservation Schemes for the Euler Equations

  title={On Skew-Symmetric Splitting and Entropy Conservation Schemes for the Euler Equations},
  author={Gunilla Kreiss and Per L{\"o}tstedt and Axel M{\aa}lqvist and Maya Neytcheva},
The Tadmor type of entropy conservation formulation for the Euler equations and various skewsymmetric splittings of the inviscid flux derivatives are di scussed. Numerical stability of high order central and Padé type (centered compact) spatial discretization is en hanced through the application of these formulations. Numerical test on a 2-D vortex convection problem indicates that the stability and accuracy of these formulations using the same high order central spatial discretizat ion are… CONTINUE READING
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