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A general, analytical and exact solution to the Burgers equation
Blekinge Institute of Technology, Faculty of Engineering, Department of Mechanical Engineering.ORCID iD: 0000-0001-8739-4492
2019 (English)In: Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019, Canadian Acoustical Association , 2019Conference paper, Published paper (Refereed)
Abstract [en]

The Burgers equation is the most well known equation of nonlinear acoustics. It was originally derived as a description of turbulence but has other uses such as being able to describe the evolution of the structure of the universe and is additionally often used as model equation when testing nonlinear numerical solvers. Here, the derivation of the general analytical solution to the Burgers equation is gone through. The solution is exact - both as a solution to the equation and to the boundary conditon - and is valid for any frequencies, amplitudes and phases. Calculations related to applications such as Nonlinear Acoustic Non-Destructive Testing and Parametric Arrays are shown © Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019. All rights reserved.

Place, publisher, year, edition, pages
Canadian Acoustical Association , 2019.
Keywords [en]
Nonlinear acoustics, Nonlinear distortion, Nonlinear non-destructive testing, Nonlinear superposition, Nonlinear ultrasonics, Bridge decks, Nondestructive examination, Partial differential equations, Ultrasonic testing, Burgers equations, General analytical solution, Non destructive testing, Non-linear acoustics, Non-linear ultrasonics, Numerical solvers, Parametric array, Nonlinear equations
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:bth-18766Scopus ID: 2-s2.0-85073028389ISBN: 9781999181000 (print)OAI: oai:DiVA.org:bth-18766DiVA, id: diva2:1362497
Conference
26th International Congress on Sound and Vibration, ICSV Montreal, 7 July 2019 through 11 July 2019
Available from: 2019-10-21 Created: 2019-10-21 Last updated: 2019-10-21Bibliographically approved

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Hedberg, Claes

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  • apa
  • harvard1
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  • de-DE
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  • nn-NB
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