Phase patterns of dispersive waves from moving localized sources

P.N. Svirkunov^a, M.V. Kalashnik^a, b, c
^aFederal State Budget Organization, Research and Production Association Taifun, Lenina av. 82, Obninsk, Kaluga Region, 249020, Russian Federation
^bA M Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russian Federation
^cObninsk Institute for Nuclear Power Engineering, Obninsk, Russian Federation

A general approach is proposed within which the phase structure of wave perturbations caused by a moving localized source can be described based on the wave dispersion law alone. Using this approach, a simple analytic expression for phase surfaces is obtained, on the basis of which the phase patterns of capillary-gravity waves are studied, as are the structure of ocean wave trains in the wake of a tropical hurricane and the systems of leeward waves in the Earth’s atmosphere.

PACS: 47.10.−g, 47.35.−i, 47.35.Bb, 47.35.Pq (all)
DOI: 10.3367/UFNe.0184.201401d.0089
URL: https://ufn.ru/en/articles/2014/1/d/
Web of Science

000334343500004
Scopus

2-s2.0-84898873421
ADS NASA

2014PhyU...57...80S
Citation: Svirkunov P N, Kalashnik M V "Phase patterns of dispersive waves from moving localized sources" Phys. Usp. 57 80–91 (2014)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 12th, July 2013, revised: 19th, September 2013, accepted: 6th, September 2013

Оригинал: Свиркунов П Н, Калашник М В «Фазовые картины диспергирующих волн от движущихся локализованных источников» УФН 184 89–100 (2014); DOI: 10.3367/UFNr.0184.201401d.0089

References (22) ↓ Cited by (45) Similar articles (13)

Gill A Atmosphere-Ocean Dynamics (New York: Academic Press, 1982); Gill A Dinamika Atmosfery i Okeana (M.: Mir, 1986)
Monin A S Teoreticheskie Osnovy Geofizicheskoi Gidrodinamiki (L.: Gidrometeoizdat, 1988); Monin A S Theoretical Geophysical Fluid Dynamics (Dordrecht: Kluwer Acad. Publ., 1990)
Lamb H (Sir) Hydrodynamics (New York: Dover Publ., 1945); Lamb G Gidrodinamika (M - L.: Gostekhizdat, 1947)
Kochin N E, Kibel’ I A, Roze N V Teoreticheskaya Gidromekhanika Vol. 1 (M.: Fizmatgiz, 1963); Kochin N E, Kibel’ I A, Roze N V Theoretical Hydromechanics (New York: Interscience Publ., 1964)
Whitham G B Linear And Nonlinear Waves (New York: Wiley, 1974); Uizem Dzh Lineinye i Nelineinye Volny (M.: Mir, 1977)
Lighthill J Waves In Fluids (Cambridge: Cambridge Univ. Press, 1978); Laitkhill Dzh Volny v Zhidkostyakh (M.: Mir, 1981)
Landau L D, Lifshits E M Gidrodinamika (M.: Nauka, 1986); Landau L D, Lifshitz E M Fluid Mechanics (Oxford: Pergamon Press, 1987)
Scorer R S Environmental Aerodynamics (New York: Halsted Press, 1978); Skorer R Aerogidrodinamika Okruzhayushchei Sredy (M.: Mir, 1980)
Baines P G Topographic Effects In Stratified Flows (Cambridge: Cambridge Univ. Press, 1995)
Khain A P, Sutyrin G G Tropicheskie Tsiklony i Ikh Vzaimodeistvie s Okeanom (L.: Gidrometeoizdat, 1983)
Ginis I Adv. Fluid Mech. 33 83 (2002)
Zalgaller V A Teoriya Ogibayushchikh (M.: Nauka, 1975)
Svirkunov P N Trudy Instituta Eksperimental’noi Meteorologii Vyp. 27(162) (SPb.: Gidrometeoizdat, 1996)
Lifshits E M, Pitaevskii L P Statisticheskaya Fizika Ch. 2 Teoriya Kondensirovannogo Sostoyaniya (M.: Fizmatlit, 2002); Lifshitz E M, Pitaevskii L P Statistical Physics Vol. 2 Theory Of The Condensed State (Oxford: Pergamon Press, 1980)
Svirkunov P N, Kalashnik M V Dokl. Ross. Akad. Nauk 447 396 (2012); Svirkunov P N, Kalashnik M V Dokl. Phys. 57 474 (2012)
Blokhintsev D I Osnovy Kvantovoi Mekhaniki (M.: Nauka, 1976)
Ginis I, Sutyrin G J. Phys. Oceanogr. 25 1218 (1995)
LeBlond P H, Mysak L A Waves In The Ocean (Amsterdam: Elsevier, 1978); Le Blon P, Maisek L Volny v Okeane (M.: Mir, 1981)
Geisler J E Geophys. Fluid Dyn. 1 249 (1970)
Golitsyn G S Vvedenie v Dinamiku Planetnykh Atmosfer (L.: Gidrometeoizdat, 1973)
Pudov V D, Varfolomeev A A, Fedorov K N Okeanologiya 18 218 (1978)
Pudov V D, Petrichenko S A Izv. RAN Fizika atmosfery i okeana 36 700 (2000); Pudov V D, Petrichenko S A Izv. Atmos. Ocean. Phys. 36 645 (2000)