Abstract
The paper considers the problem of the harmonic internal gravity waves dynamics in a vertically stratified horizontally inhomogeneous medium. It is assumed that the scale of the horizontal variability of the medium density exceeds the characteristic lengths of internal gravity waves. The solution is constructed using a modified version of the spatio-temporal ray method. An asymptotic solution is constructed that allows one to calculate the amplitude and phase characteristics of wave fields. The solutions obtained make it possible to calculate the internal gravity waves fields for arbitrary disturbances sources.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Broutman D, Rottman J (2004) A simplified Fourier method for computing the internal wave field generated by an oscillating source in a horizontally moving, depth-dependent background. Phys Fluids 16:3682–3689
Bulatov VV, Vladimirov YuV (2012) Wave dynamics of stratified mediums. Nauka, Moscow
Bulatov VV, Vladimirov YuV (2014) Asymptotical analysis of internal gravity wave dynamics in stratified medium. Appl Math Sci 8:217–240
Bulatov VV, Vladimirov YuV (2018) Internal gravity waves in horizontally inhomogeneous ocean. In Velarde MG et al (eds) The ocean in motion, Springer Oceanography. Springer International Publishing AG, Berlin pp 109–126
Bulatov VV, Vladimirov YuV (2019) A general approach to ocean wave dynamics research: modelling, asymptotics, measurements. OntoPrint Publishers, Moscow
Bulatov VV, Vladimirov YuV, Vladimirov IYu (2019) Far fields of internal gravity waves from a source moving in the ocean with an arbitrary buoyancy frequency distribution. Russian J Earth Sci 19:ES5003
Fabrikant AL, Stepanyants YuA (1998) Propagation of waves in shear flows. World Scientific Publishing, London
Froman N, Froman P (2002) Physical problems solved by the phase-integral method. Cambridge University Press, Cambridge
Kravtsov Yu, Orlov Yu (1999) Caustics, catastrophes and wave fields. Springer, Berlin
Lecoanet D, Le Bars M, Burns KJ, Vasil GM, Brown BP, Quataert E, Oishi JS (2015) Numerical simulations of internal wave generation by convection in water. Phys Rev E Stat Nonlinear Soft Matter Phys 9:1–10
Matyushin PV (2019) Process of the formation of internal waves initiated by the start of motion of a body in a stratified viscous fluid. Fluid Dyn 54:374–388
Mei CC, Stiassnie M, Yue DK-P (2017) Theory and applications of ocean surface waves. Advanced series of ocean engineering. V. 42. World Scientific Publishing
Miropol’skii YuZ, Shishkina OV (2001) Dynamics of internal gravity waves in the ocean. Kluwer Academic Publishers, Boston
Morozov TG (2018) Oceanic internal tides. Observations, analysis and modeling. Springer
Voelker GS, Myers PG, Walter M, Sutherland BR (2019) Generation of oceanic internal gravity waves by a cyclonic surface stress disturbance. Dyn Atm Oceans 86:16–133
Wang H, Chen K, You Y (2017) An investigation on internal waves generated by towed models under a strong halocline. Phys Fluids 29:065104
Acknowledgements
The work is carried out with financial support from the Russian Foundation for Basic Research, project 20-01-00111A.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Bulatov, V.V., Vladimirov, Y.V. (2022). Internal Gravity Waves Fields Dynamics in Vertically Stratified Horizontally Inhomogeneous Medium. In: Chaplina, T. (eds) Processes in GeoMedia—Volume IV. Springer Geology. Springer, Cham. https://doi.org/10.1007/978-3-030-76328-2_8
Download citation
DOI: https://doi.org/10.1007/978-3-030-76328-2_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-76327-5
Online ISBN: 978-3-030-76328-2
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)