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

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. T...

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Main Authors: Vitaly Bulatov, Yury Vladimirov
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/11/1899
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spelling doaj-f7d6f1d6015b4a0c8f88ebd6dd4c5c882020-11-25T04:06:19ZengMDPI AGSymmetry2073-89942020-11-01121899189910.3390/sym12111899Generation of Internal Gravity Waves Far from Moving Non-Local SourceVitaly Bulatov0Yury Vladimirov1Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1, Pr.Vernadskogo, 119526 Moscow, RussiaIshlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1, Pr.Vernadskogo, 119526 Moscow, RussiaWe 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.https://www.mdpi.com/2073-8994/12/11/1899internal gravity wavesstratified mediumfar fieldsmoving source
collection DOAJ
language English
format Article
sources DOAJ
author Vitaly Bulatov
Yury Vladimirov
spellingShingle Vitaly Bulatov
Yury Vladimirov
Generation of Internal Gravity Waves Far from Moving Non-Local Source
Symmetry
internal gravity waves
stratified medium
far fields
moving source
author_facet Vitaly Bulatov
Yury Vladimirov
author_sort Vitaly Bulatov
title Generation of Internal Gravity Waves Far from Moving Non-Local Source
title_short Generation of Internal Gravity Waves Far from Moving Non-Local Source
title_full Generation of Internal Gravity Waves Far from Moving Non-Local Source
title_fullStr Generation of Internal Gravity Waves Far from Moving Non-Local Source
title_full_unstemmed Generation of Internal Gravity Waves Far from Moving Non-Local Source
title_sort generation of internal gravity waves far from moving non-local source
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-11-01
description 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.
topic internal gravity waves
stratified medium
far fields
moving source
url https://www.mdpi.com/2073-8994/12/11/1899
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