Evolution of wave pulses in fully nonlinear shallow-water theory

被引：12

作者：

Ivanov, S. K. ^{[1
,2
]}

Kamchatnov, A. M. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Inst Spect, Moscow 108840, Russia

[2] Moscow Inst Phys & Technol, Inst Lane 9, Dolgoprudnyi 141701, Moscow Region, Russia

来源：

PHYSICS OF FLUIDS | 2019年 / 31卷 / 05期

关键词：

ZERO DISPERSION LIMIT; DE-VRIES EQUATION; ASYMPTOTIC SOLUTIONS; SHOCK-WAVES; PERTURBATION; PROPAGATION; BOUSSINESQ; DERIVATION; BREAKING;

D O I：

10.1063/1.5094695

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider evolution of wave pulses with formation of dispersive shock waves in framework of fully nonlinear shallow-water equations. Situations of initial elevations or initial dips on the water surface are treated, and motion of the dispersive shock edges is studied within the Whitham theory of modulations. Simple analytical formulas are obtained for asymptotic stage of evolution of initially localized pulses. Analytical results are confirmed by exact numerical solutions of the fully nonlinear shallow water equations. Published under license by ATP Publishing.

引用

页数：11

共 50 条

[31] A SHALLOW-WATER SPECTRAL WAVE MODEL
YOUNG, IR
[J]. JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 1988, 93 (C5): : 5113 - 5129
[32] Wave interactions in a shallow-water model
Wiklund, K
[J]. NONLINEAR PROCESSES IN GEOPHYSICS, 1998, 5 (03) : 137 - 144
[33] DETERMINATION OF WAVE ANGLE IN SHALLOW-WATER
SHERMAN, DJ
GREENWOOD, B
[J]. JOURNAL OF WATERWAY PORT COASTAL AND OCEAN ENGINEERING-ASCE, 1986, 112 (01): : 129 - 139
[34] WAVE HEIGHT DISTRIBUTION IN SHALLOW-WATER
HAMEED, TSS
BABA, M
[J]. OCEAN ENGINEERING, 1985, 12 (04) : 309 - 319
[35] SHALLOW-WATER WAVE HEIGHT PARAMETERS
THOMPSON, EF
VINCENT, CL
[J]. JOURNAL OF WATERWAY PORT COASTAL AND OCEAN ENGINEERING, 1984, 110 (02) : 293 - 299
[36] WIND WAVE GROWTH IN SHALLOW-WATER
VINCENT, CL
HUGHES, SA
[J]. JOURNAL OF WATERWAY PORT COASTAL AND OCEAN ENGINEERING-ASCE, 1985, 111 (04): : 765 - 770
[37] A COMPARATIVE STUDY OF NONLINEAR SHALLOW-WATER WAVE LOADS ON A SUBMERGED HORIZONTAL BOX
Hayatdavoodi, Masoud
Ertekin, R. Cengiz
[J]. 33RD INTERNATIONAL CONFERENCE ON OCEAN, OFFSHORE AND ARCTIC ENGINEERING, 2014, VOL 1B, 2014,
[38] Performance of a wave energy device in shallow-water nonlinear waves .1.
Korde, UA
[J]. APPLIED OCEAN RESEARCH, 1997, 19 (01) : 1 - 11
[39] A dispersion-relation-preserving algorithm for a nonlinear shallow-water wave equation
Chiu, P. H.
Lee, Long
Sheu, Tony W. H.
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 228 (21) : 8034 - 8052
[40] A shallow-water approximation to the full water wave problem
Li, Yi A.
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2006, 59 (09) : 1225 - 1285

← 1 2 3 4 5 →