Molecular relaxation simulations in nonlinear acoustics using direct simulation Monte Carlo

Amanda Danforth-Hanford, Patrick D. O'Connor, Lyle N. Long, James B. Anderson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

The direct simulation Monte Carlo (DSMC) method describes gas dynamics through direct physical modeling of particle motions and collisions, DSMC is based on the kinetic theory of gas dynamics, where representative particles are followed as they move and collide with other particles. DSMC provides a useful tool for capturing all physical properties of interest for nonlinear acoustic problems, such as dispersion, attenuation, absorption, harmonic generation and nonequilibrium effects. The validity of DSMC for the entire range of Knudsen numbers (Kn), where Kn is defined as the mean free path divided by the wavelength, allows for the exploration of sound propagation at low Kn (low frequency, atmospheric conditions) as well as sound propagation at high Kn (high frequency, dilute gases, or in microdevices). For low Kn, nonlinear effects play an important role in waveform evolution. For high Kn, nonequilibrium effects are strong and increased absorption cancels out nonlinearity effects.

Original languageEnglish (US)
Title of host publicationINNOVATIONS IN NONLINEAR ACOUSTICS - ISNA 17
Subtitle of host publication17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum
Pages556-559
Number of pages4
DOIs
StatePublished - Dec 1 2006
EventINNOVATIONS IN NONLINEAR ACOUSTICS - ISNA17: 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum - State College, PA, United States
Duration: Jul 18 2005Jul 22 2005

Publication series

NameAIP Conference Proceedings
Volume838
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherINNOVATIONS IN NONLINEAR ACOUSTICS - ISNA17: 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum
CountryUnited States
CityState College, PA
Period7/18/057/22/05

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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  • Cite this

    Danforth-Hanford, A., O'Connor, P. D., Long, L. N., & Anderson, J. B. (2006). Molecular relaxation simulations in nonlinear acoustics using direct simulation Monte Carlo. In INNOVATIONS IN NONLINEAR ACOUSTICS - ISNA 17: 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum (pp. 556-559). (AIP Conference Proceedings; Vol. 838). https://doi.org/10.1063/1.2210417