A KINETIC FOURIER SCHEME

Authors
DESHPANDE S PIRONNEAU O
Citation
S. Deshpande et O. Pironneau, A KINETIC FOURIER SCHEME, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(8), 1995, pp. 1011-1016
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
321
Issue
8
Year of publication
1995
Pages
1011 - 1016
Database
ISI
SICI code
0764-4442(1995)321:8<1011:AKFS>2.0.ZU;2-M
Abstract
A kinetic scheme is obtained for the Euler equations for fluids by dis cretizing the total derivative of the convective term in Bolzmann's eq uation. The scheme is discretized in space by spectral decomposition; this way, it is possible to compute analytically the integrals which c ombines Maxwellians and Fourier basis functions. The final scheme is t ested on the shock tube problem in one dimension.