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Nonlinear acoustics equations to third order - New stabilization of the Burnett equations
KTH, School of Engineering Sciences (SCI), Mechanics.
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, Published paper (Refereed)
Abstract [en]

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.
Series
AIP CONFERENCE PROCEEDINGS, ISSN 0094-243X ; 834
Keyword [en]
third order nonlinear acoustics, Burnett equations, stabilization
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-42085DOI: 10.1063/1.2205805ISI: 000237610000022Scopus ID: 2-s2.0-33845575042ISBN: 0-7354-0325-2 (print)OAI: oai:DiVA.org:kth-42085DiVA: diva2:446456
Conference
AIP CONFERENCE PROCEEDINGS
Note
QC 20111007Available from: 2011-10-07 Created: 2011-10-05 Last updated: 2011-10-07Bibliographically approved

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