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An asymptotic treatment of the transient development of axisymmetric surface waves

โœ Scribed by Debnath, L.

Publisher
Springer
Year
1969
Tongue
English
Weight
461 KB
Volume
21
Category
Article
ISSN
0003-6994

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โœฆ Synopsis

A linearized theory is developed for the derivation of an asymptotic solution of the initial value problem of axisymmetric surface waves in an infinitely deep fluid produced by an arbitrary oscillating pressure distribution. An asymptotic treatment of the problem is presented in detail to obtain the solution for the surface elevation for sufficiently large time. Finally, the main prediction of this analysis for some particular pressure distributions of physical interest is exhibited.

๐Ÿ“œ SIMILAR VOLUMES

An analytical fundamental solution of th
An analytical fundamental solution of the transient scalar wave equation for axisymmetric systems
โœ O. Czygan; O. von Estorff ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 236 KB

In the present paper a new time-domain fundamental solution for axisymmetric scalar wave propagation problems is developed. The result is an analytical expression which can be used in boundary element formulations in a more accurate way than the numerical integration procedures known so far. The cir