On the estimation of wave heights for periodic water waves from velocity and pressure data

被引：3

作者：

Li, Qixiang ^{[1
]}

Feckan, Michal ^{[3
,4
,5
]}

Wang, JinRong ^{[1
,2
,3
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Guizhou Univ, Supercomp Algorithm & Applicat Lab, Guiyang 550025, Guizhou, Peoples R China

[3] Guizhou Univ, Guian Sci Innovat Co, Guiyang 550025, Guizhou, Peoples R China

[4] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Mlynska Dolina, Bratislava 84248, Slovakia

[5] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia

来源：

RESULTS IN PHYSICS | 2023年 / 51卷

基金：

中国国家自然科学基金;

关键词：

Periodic water waves; Wave height; Vorticity; Pressure data; Velocity data; FREE-SURFACE; VARIATIONAL FORMULATIONS; SOLITARY WAVE; RECOVERY; PROFILES; STREAMLINES; ANALYTICITY; STABILITY; SYMMETRY; FLOWS;

D O I：

10.1016/j.rinp.2023.106678

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we present some wave height estimates for the two-dimensional steady periodic water waves subject to the effect of vorticity. The lower bounds of wave heights for the case of positive vorticity and negative vorticity are derived, respectively. These results are associated with the pressure data at the flat bed and velocity data on trough line, and to the pressure data at the flat bed and velocity data on crest line, respectively. Furthermore, we provide some upper bounds of wave heights, which rely on velocity and pressure data at an arbitrary intermediate depth. In addition, we show some applications of the present model.

引用

页数：8

共 51 条

[1]

[Anonymous], 2002, Wind Waves: Their Generation and Propagation on the Ocean Surface

[2] Resonant interactions of rotational water waves in the equatorial f-plane approximation [J].

Basu, B. ;

Martin, C. I. .

JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (10)

[3] On some properties of velocity field for two dimensional rotational steady water waves [J].

Basu, Biswajit .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 184 :17-34

[4] Wave height estimates from pressure and velocity data at an intermediate depth in the presence of uniform currents [J].

Basu, Biswajit .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 376 (2111)

[5] Estimation of wave heights from pressure data at the bed in the presence of uniform underlying currents [J].

Basu, Biswajit .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 156 :82-89

[6] THE SOLITARY WAVE ON A STREAM WITH AN ARBITRARY DISTRIBUTION OF VORTICITY [J].

BENJAMIN, TB .

JOURNAL OF FLUID MECHANICS, 1962, 12 (01) :97-116

[7] Variational formulations of steady rotational equatorial waves [J].

Chu, Jifeng ;

Escher, Joachim .

ADVANCES IN NONLINEAR ANALYSIS, 2021, 10 (01) :534-547

[8] Recovery of steady periodic wave profiles from pressure measurements at the bed [J].

Clamond, D. ;

Constantin, A. .

JOURNAL OF FLUID MECHANICS, 2013, 714 :463-475

[9] Extreme water-wave profile recovery from pressure measurements at the seabed [J].

Clamond, Didier ;

Henry, David .

JOURNAL OF FLUID MECHANICS, 2020, 903

[10] New exact relations for easy recovery of steady wave profiles from bottom pressure measurements [J].

Clamond, Didier .

JOURNAL OF FLUID MECHANICS, 2013, 726 :547-558

← 1 2 3 4 5 6 →