Nonlinear acoustics equations to third order - New stabilization of the Burnett equations
2006 (English)In: Mathematical Modeling of Wave Phenomena / [ed] Nilsson, B; Fishman, L, MELVILLE, NY: AMER INST PHYSICS , 2006, Vol. 834, 214-221 p.Conference paper (Refereed)
For nonlinear acoustics for ultrahigh frequencies it is necessary to go beyond the Navier-Stokes equations. For a gas the next set of equations due to Burnett were shown by Bobylev to have an unphysical instability. The Burnett equations are here stabilized as a set of equations for the fluid dynamic variables rho, v, T, first in an approximation adequate for third order nonlinear acoustics and then in the general case.
Place, publisher, year, edition, pages
MELVILLE, NY: AMER INST PHYSICS , 2006. Vol. 834, 214-221 p.
, AIP CONFERENCE PROCEEDINGS, ISSN 0094-243X ; 834
third order nonlinear acoustics, Burnett equations, stabilization
IdentifiersURN: urn:nbn:se:kth:diva-42085DOI: 10.1063/1.2205805ISI: 000237610000022ScopusID: 2-s2.0-33845575042ISBN: 0-7354-0325-2OAI: oai:DiVA.org:kth-42085DiVA: diva2:446456
AIP CONFERENCE PROCEEDINGS
QC 201110072011-10-072011-10-052011-10-07Bibliographically approved