Internal Waves Excited by a Moving Source in a Medium of Variable Buoyancy
The problem of the far field of internal gravity waves generated by an oscillating point perturbation source moving in a vertically infinite layer of a stratified medium of variable buoyancy is considered. The analytical solution of the problem is obtained by two ways for a model quadratic buoyancy frequency distribution. In the first case the solution is expressed in terms of the eigenfunctions of the vertical spectral problem and the Hermite polynomials. In the second case the solution in the form of the Green’s characteristic function is represented in terms of the functions of parabolic cylinder. The analytical solutions obtained make it possible to describe the amplitudephase characteristics of the far fields of internal gravity waves in a stratified medium with variable Brunt-Väisäläfrequency.
Keywordsstratified medium internal gravity waves buoyancy frequency far fields
Unable to display preview. Download preview PDF.
- 2.J. Pedlosky, Waves in the Ocean and Atmosphere: Introduction to Wave Dynamics (Springer, Berlin, Heidelberg, 2010).Google Scholar
- 4.V. V. Bulatov and Yu. V. Vladimirov, Dynamics of NonharmonicWave Packets in StratifiedMedia (Nauka, Moscow, 2010) [in Russian].Google Scholar
- 5.V. V. Bulatov and Yu. V. Vladimirov, Waves in Stratified Media (Nauka, Moscow, 2015) [in Russian].Google Scholar
- 10.V. V. Ryndina, Eigenfrequencies of Internal Waves in a Fluid and the Brunt-VäisäläFrequency (Izd-vo TsVVR, Rostov-on-Don, 2007) [in Russian].Google Scholar
- 11.H.ˆ Bateman and A. Erdelyi, Higher Transcendental Functions, Vol. 2: Bessel Functions, Functions of Orthogonal Cylinder, and Orthogonal Polynomials (McGraw Hill, New York, Toronto, London, 1955; Nauka, Moscow, 1974).Google Scholar