Abstract
The problem of constructing an asymptotic representation of the solution of the internal gravity wave field excited by a source moving at a velocity close to the maximum group velocity of the individual wave mode is considered. For the critical regimes of individual mode generation the asymptotic representation of the solution obtained is expressed in terms of a zero-order Macdonald function. The results of numerical calculations based on the exact and asymptotic formulas are given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
V. A. Borovikov, V. V. Bulatov, and Yu. V. Vladimirov, “Internal gravity waves excited by a source moving in a stratified fluid,” Fluid Dynam. Res., 15, 325 (1995).
C. Ramirez and D. Renouard, “Generation of internal waves over shelf,” Dynamics of Atmosphere and Oceans, 28, 107 (1998).
M. Ya. Kel'berg and I. A. Sazonov, Propagation of Pulses in Fluids [in Russian], Nauka, Moscow (1991).
E. G. Morozov, “Generation of internal tides on submerged mountain ridges,” Okeanologicheskie Issledovaniya, No. 41, 55 (1988).
V. V. Bulatov and Yu. V. Vladimirov, “Uniform far field asymptotics of internal gravity waves from a source moving in a stratified fluid layer with a smoothly varying bottom, Izv. Ros. Acad. Nauk, Mekh. Zhidk. Gaza, No. 3, 111 (1998).
V. V. Bulatov and Yu. V. Vladimirov, “Calculation of the internal gravity wave field associated with arbitrary unsteady motion of a source,” Izv. Ros. Acad. Nauk, Mekh. Zhidk. Gaza, No. 3, 174 (1995).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series and Products, Academic Press, New York (1965).
Rights and permissions
About this article
Cite this article
Bulatov, V.V., Vladimirov, Y.V. Asymptotics of the Critical Regimes of Internal Gravity Wave Generation. Fluid Dynamics 35, 734–737 (2000). https://doi.org/10.1023/A:1026699000837
Issue Date:
DOI: https://doi.org/10.1023/A:1026699000837