A NEW 3-D SIXTH-ORDER BOUSSINESQ MODEL IN SHALLOW WATER WAVE

被引：0

作者：

Qi, Chang-Jun ^{[1
]}

Zhao, Bao-Jun ^{[1
,2
]}

机构：

[1] Yangzhou Univ, Coll Hydraul Sci & Engn, Yangzhou, Jiangsu, Peoples R China

[2] Hohai Univ, Key Lab, Minist Educ Coastal Disaster & Protect, Nanjing, Jiangsu, Peoples R China

来源：

THERMAL SCIENCE | 2023年 / 27卷 / 5A期

关键词：

3-D sixth-order Boussinesq equation; soliton solution; double-series perturbation analysis; EQUATIONS;

D O I：

10.2298/TSCI2305857Q

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this article, the surface wave in inviscid fluid was analyzed. Based on the Euler equation and mass conservation equation, and coupled with a set of boundary conditions, the (2+1)-dimensional sixth-order Boussinesq equation is derived for the first time. According to double-series perturbation analysis and scale transformation, the one soliton solution is obtained with (G '/G)-expansion method. Finally, the effects of amplitude parameter and shallowness parameter on the amplitude of surface wave are analyzed.

引用

页码：3857 / 3862

页数：6

共 50 条

[41] Analyzing the Adaptive Mesh Refinement (AMR) Characteristics of a High-Order 2D Cubed-Sphere Shallow-Water Model [J].

Ferguson, Jared O. ;

Jablonowski, Christiane ;

Johansen, Hans ;

McCorquodale, Peter ;

Colella, Phillip ;

Ullrich, Paul A. .

MONTHLY WEATHER REVIEW, 2016, 144 (12) :4641-4666

[42] Convective-Wave Solutions of the Richard-Gavrilyuk Model for Inclined Shallow-Water Flow [J].

Rodrigues, L. Miguel ;

Yang, Zhao ;

Zumbrun, Kevin .

WATER WAVES, 2023, 5 (01) :1-39

[43] A new collision operator for lattice Boltzmann shallow water model: a convergence and stability study [J].

Venturi, Sara ;

Di Francesco, Silvia ;

Geier, Martin ;

Manciola, Piergiorgio .

ADVANCES IN WATER RESOURCES, 2020, 135

[44] HIGH ORDER FINITE DIFFERENCE/SPECTRAL METHODS TO A WATER WAVE MODEL WITH NONLOCAL VISCOSITY [J].

Hasan, Mohammad Tanzil ;

Xu, Chuanju .

JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020, 38 (04) :580-605

[45] Evaluation of 2D shallow-water model for spillway flow with a complex geometry [J].

Ying, Xinya ;

Wang, Sam S. Y. .

JOURNAL OF HYDRAULIC RESEARCH, 2010, 48 (02) :265-268

[46] Historical overview of 2D and 3D hydrodynamic modelling of shallow water flows in the Netherlands [J].

De Goede, Erik D. .

OCEAN DYNAMICS, 2020, 70 (04) :521-539

[47] A nodal discontinuous Galerkin approach to 3-D viscoelastic wave propagation in complex geological media [J].

Lambrecht, L. ;

Lamert, A. ;

Friederich, W. ;

Moeller, T. ;

Boxberg, M. S. .

GEOPHYSICAL JOURNAL INTERNATIONAL, 2018, 212 (03) :1570-1587

[48] A fully coupled 3-D mixed finite element model of Biot consolidation [J].

Ferronato, Massimiliano ;

Castelletto, Nicola ;

Gambolati, Giuseppe .

JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (12) :4813-4830

[49] On the sensitivity of 3-D thermal convection codes to numerical discretization: a model intercomparison [J].

Arrial, P. -A ;

Flyer, N. ;

Wright, G. B. ;

Kellogg, L. H. .

GEOSCIENTIFIC MODEL DEVELOPMENT, 2014, 7 (05) :2065-2076

[50] Numerical Solution of 3-D Water Entry Problems With a Constrained Interpolation Profile Method [J].

Yang, Qingyong ;

Qiu, Wei .

JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING-TRANSACTIONS OF THE ASME, 2012, 134 (04)

← 1 2 3 4 5 →