Multi-dimensional non-linear acoustic wave propagation, part I: An alternative to the method of characteristics

✍ Scribed by J.H. Ginsberg

• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 477 KB
• Volume: 40
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(75)81306-x

✦ Synopsis

An alternative method for the solution of the classical problem of a weakly non-linear, non-dispersive plane wave is derived, under the condition that the method of solution be directly applicable to multi-dimensional waves. The approach consists of applying Lighthill's technique of strained co-ordinates in the physical plane, in lieu of the conventional asymptotic solution which utilizes the characteristic variables. The problem is posed in terms of the velocity potential function and a method for using the asymptotic derivative formulas to obtain uniformly valid velocity expressions is derived. The criterion for the formation of shocks is discussed. It is found that the results are identical to the classical solutions.