Trapping and instability of directional gravity waves in localized water currents

被引：2

作者：

Eliasson, B. ^{[1
]}

Haas, F. ^{[2
]}

机构：

[1] Univ Strathclyde, Dept Phys, SUPA, Glasgow G4 0NG, Lanark, Scotland

[2] Univ Fed Rio Grande do Sul, Inst Phys, BR-91501970 Porto Alegre, RS, Brazil

来源：

PHYSICAL REVIEW E | 2014年 / 89卷 / 06期

关键词：

OCEAN WAVES; GULF-STREAM; SPECTRUM; EQUATION;

D O I：

10.1103/PhysRevE.89.063014

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The influence of localizedwater currents on the nonlinear dynamics and stability of large amplitude, statistically distributed gravity waves is investigated theoretically and numerically by means of an evolution equation for a Wigner function governing the spectrum of waves. It is shown that water waves propagating in the opposite direction of a localized current channel can be trapped in the channel, which can lead to the amplification of the wave intensity. Under certain conditions the wave intensity can be further localized due to a self-focusing (Benjamin-Feir) instability. The localized amplification of the wave intensity may increase the probability of extreme events in the form of freak waves, which have been observed in connection with ocean currents.

引用

页数：7

共 32 条

[1]

ALBER I, 1978, 313266035RU00 TRW DE

[2] EFFECTS OF RANDOMNESS ON STABILITY OF 2-DIMENSIONAL SURFACE WAVETRAINS [J].

ALBER, IE .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1978, 363 (1715) :525-546

[3] NUMERICAL SIMULATIONS OF THE FOURIER-TRANSFORMED VLASOV-MAXWELL SYSTEM IN HIGHER DIMENSIONS-THEORY AND APPLICATIONS [J].

Eliasson, Bengt .

TRANSPORT THEORY AND STATISTICAL PHYSICS, 2010, 39 (5-7) :387-465

[4] Numerical Investigation of the Instability and Nonlinear Evolution of Narrow-Band Directional Ocean Waves [J].

Eliasson, Bengt ;

Shukla, P. K. .

PHYSICAL REVIEW LETTERS, 2010, 105 (01)

[5] DYNAMICS OF AN ENSEMBLE OF PLANE-WAVES IN NONLINEAR DISPERSIVE MEDIA [J].

HASEGAWA, A .

PHYSICS OF FLUIDS, 1975, 18 (01) :77-79

[6]

HASSELMANN DE, 1980, J PHYS OCEANOGR, V10, P1264, DOI 10.1175/1520-0485(1980)010<1264:DWSODJ>2.0.CO

[7]

[8] ON THE NON-LINEAR ENERGY TRANSFER IN A GRAVITY-WAVE SPECTRUM .1. GENERAL THEORY [J].

HASSELMANN, K .

JOURNAL OF FLUID MECHANICS, 1962, 12 (04) :481-500

[9]

Hasselmann K., 1973, Ergaenzungsheft zur Deutschen Hydrographischen Zeitschrift Reihe A, V12, P7

[10] Freak wave statistics on collinear currents [J].

Hjelmervik, Karina B. ;

Trulsen, Karsten .

JOURNAL OF FLUID MECHANICS, 2009, 637 :267-284

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