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Numerical modeling of the nonlinear propagation of transient acoustic signals

AuthorsCampos-Pozuelo, Cleofé; Vanhille, Christian
KeywordsHigh-amplitude transient signals
Nonlinear waves
Numerical model
High intensity waves
Finite difference algorithm
Waveform distortion
Shock formation
Initial pulse shape dependence
Issue DateSep-2002
PublisherSociedad Española de Acústica
CitationForum Acusticum Sevilla 2002. Nonlinear Acoustics ; NON-02-007-IP
AbstractA numerical study of high-amplitude transient signals propagating in an absorbing, homogeneous fluid is presented. The work is motivated in many applications where high intensity waves, which can not be described by linear laws, are involved (biomedical research, high power ultrasonics, etc.). Differential equations are written in lagrangian coordinates, and the full nonlinear equation is solved by means of a finite difference algorithm. Calculations are performed exclusively in the time domain, giving all the harmonic amplitudes by only one resolution step, and allowing the analysis of the evolution of the waveform for any original signal: gaussian, rectangular pulses, periodic excitation, etc. Numerical results are presented for waveform distortion and shock formation for plane transient and harmonic waves. Spatial and initial pulse shape dependences are specially analysed.
Description6 pages.-- PACS nr.: 43.25.Cb.-- Communication presented at: Forum Acusticum Sevilla 2002 (Sevilla, Spain, 16-20 Sep 2002), comprising: 3rd European Congress on Acoustics; XXXIII Spanish Congress on Acoustics (TecniAcústica 2002); European and Japanese Symposium on Acoustics; 3rd Iberian Congress on Acoustics.-- Special issue of the journal Revista de Acústica, Vol. XXXIII, year 2002.
Appears in Collections:(IA) Comunicaciones congresos
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