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Nonlinear acoustic behavior at a caustic - An approximate analytical solutionThe present paper discusses an approximate analytical solution to the nonlinear behavior of a discontinuous acoustic signal near a caustic. The Seebass transformation (1970) is refined to provide results which satisfy the governing equation to any prescribed accuracy, except across the shock wave produced by reflection of the simple wave at the caustic. The solution is approximate in the sense that the basic equation is satisfied wherever the solution is continuous but can satisfy only one of the two jump conditions at the reflected shock. The results give essential geometric features of the exact solution and provide a quantitative estimate of the strength of the so-called superboom.
Document ID
19750044555
Acquisition Source
Legacy CDMS
Document Type
Other - Collected Works
Authors
Gill, P. M.
(Cornell University Ithaca, N.Y.; Adelaide, University, Adelaide, Australia)
Seebass, A. R.
(Cornell University Ithaca, N.Y., United States)
Date Acquired
August 8, 2013
Publication Date
January 1, 1975
Subject Category
Acoustics
Accession Number
75A28627
Funding Number(s)
CONTRACT_GRANT: NGR-33-010-203
Distribution Limits
Public
Copyright
Other

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