A conservative box-scheme for the Euler equations
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-infinity-stable scheme. At steady state second order accuracy is obtained as a by-product of the box-scheme feature. Copyright (C) 1999 John Wiley & Sons, Ltd.
conservative box-scheme euler equations gas dynamics