Far Fields of Internal Gravity Waves under Fast Density Variation in a Radial Symmetry Source

2021 ◽  
Vol 57 (6) ◽  
pp. 614-618
Author(s):  
V. V. Bulatov ◽  
Yu. V. Vladimirov
Keyword(s):  
Gravity Waves ◽  
Internal Gravity Waves ◽  
Radial Symmetry ◽  
Density Variation ◽  
Far Fields

scholarly journals Asymptotics of the Far Fields of Internal Gravity Waves Excited by a Source of Radial Symmetry

2021 ◽  
Vol 56 (5) ◽  
pp. 672-677
Author(s):  
V. V. Bulatov ◽  
Yu. V. Vladimirov
Keyword(s):  
Gravity Waves ◽  
Hankel Transform ◽  
Internal Gravity Waves ◽  
Radial Symmetry ◽  
Wave Mode ◽  
Buoyancy Frequency ◽  
Asymptotic Results ◽  
Model Distribution ◽  
Perturbation Source ◽  
Individual Wave

Abstract— The problem of the far field of internal gravity waves generated by a perturbation source of radial symmetry aroused at an initial instant of time is solved. The constant model distribution of the buoyancy frequency is considered and, using the Fourier–Hankel transform, an analytical solution to the problem is obtained in the form of the sum of wave modes. Asymptotics of the solutions that describe the spatial-temporal characteristics of elevation of the isopycnic lines and the vertical and horizontal velocity components far from the perturbation source are obtained. The asymptotics of the components of the wave field are expressed in terms of the square of the Airy function and its derivatives in the neighborhood of the wave fronts of an individual wave mode. The exact and asymptotic results are compared and it is shown that the asymptotic method makes it possible to calculate effectively the far wave fields at times of the order of ten and more of the Brunt–Väisälä periods.

scholarly journals Generation of Internal Gravity Waves Far from Moving Non-Local Source

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1899
Author(s):  
Vitaly Bulatov ◽  
Yury Vladimirov
Keyword(s):  
Gravity Waves ◽  
Finite Depth ◽  
Internal Gravity Waves ◽  
Radial Symmetry ◽  
Stratified Medium ◽  
Local Source ◽  
Natural Sources ◽  
Model Distribution ◽  
Different Depths ◽  
Non Local

We consider analytical solutions describing the generation of internal gravity waves far from a non-local source of disturbances. We suppose that the source moves on the surface of stratified medium of a finite depth. A model distribution of the non-local source shape with radial symmetry is used. This approximation correctly describes (qualitatively) the main spatiotemporal characteristics of natural sources of generation of internal gravity waves in the ocean. The resulting solution is the sum of wave modes. The solution is presented as a series of eigenfunctions of the spectral problem of internal gravity waves. The results of numerical calculations of internal gravity waves components at different depths are presented and discussed.

Far Fields of Internal Gravity Waves from a Nonstationary Source

Oceanology ◽  
2018 ◽  
Vol 58 (6) ◽  
pp. 796-801 ◽  
Author(s):  
V. V. Bulatov ◽  
Yu. V. Vladimirov
Keyword(s):  
Gravity Waves ◽  
Internal Gravity Waves ◽  
Far Fields ◽  
Nonstationary Source

Model of the internal gravity waves excited by lithospheric greenhouse effect gases

2001 ◽  
Vol 7 (2s) ◽  
pp. 26-33 ◽  
Author(s):  
O.E. Gotynyan ◽  
◽  
V.N. Ivchenko ◽  
Yu.G. Rapoport ◽  
◽  
...  
Keyword(s):  
Gravity Waves ◽  
Greenhouse Effect ◽  
Internal Gravity Waves
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