Compound waves in a thermohydrodynamic lattice BGK scheme using non-perturbative equilibria

P. J. Dellar (2002) Compound waves in a thermohydrodynamic lattice BGK scheme using non-perturbative equilibria Europhys. Lett. 57 690--696

Reprints available for downloading in PDF format.

Unfortunately, the figures are slightly the worse for wear (mainly missing keys) in the printed journal issue, but the online version is correct.

Abstract

A previously proposed thermohydrodynamic lattice BGK scheme using non-perturbative, or non-polynomial, equilibria is found to simulate continuum equations that differ from the Euler equations of gas dynamics at leading order. Shock tube simulations with this BGK scheme coincide with solutions obtained by solving these different continuum equations with conventional methods. Both sets of solutions contain unphysical compound waves, shocks attached to rarefactions, where the Euler equations contain contact discontinuities.

This paper is a critique of

A. Renda, G. Bella, S. Succi and I.V. Karlin (1998) Thermohydrodynamic lattice BGK schemes with non-perturbative equilibria Europhys. Lett. 41 279-283

BibTeX citation information:

@article{DellarCompound,
author = "P. J. Dellar",
title = "Compound waves in a thermohydrodynamic lattice {BGK} scheme using non-perturbative equilibria",
year = "2002",
journal = "Europhys. Lett.",
volume = "57",
pages = "690--696",
DOI = "10.1209/epl/i2002-00518-y",
URL = "http://publish.edpsciences.com/abstract/EPL/v57/p690"
}