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A conservative box-scheme for the Euler equations

✍ Scribed by Jean-Jacques Chattot

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 102 KB
Volume: 31
Category: Article
ISSN: 0271-2091
DOI: 10.1002/(sici)1097-0363(19990915)31:1<149::aid-fld960>3.0.co;2-s

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✦ Synopsis

The work presented in this paper shows that the mixed-type scheme of Murman and Cole, originally developed for a scalar equation, can be extended to systems of conservation laws. A characteristic scheme for the equations of gas dynamics is introduced that has a close connection to a four operator scheme for the Burgers-Hopf equation. The results indicate that the scheme performs well on the classical test cases. The scheme has no tuning parameters and can be interpreted as the projection of an L -stable scheme. At steady state second order accuracy is obtained as a by-product of the box-scheme feature.

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