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Volume :34 Issue : 1 2007      Add To Cart                                                                    Download

Dynamic behavior of an internal solitary wave oscillating over variable bathymetry

Auther : CHEN-YUAN CHEN1, CHEN-LIANG LIN2, I-FAN TSENG3

1Department of Management Information System, Yung-Ta Institute of Technology and Commerce, Pingtung County 90941, Taiwan, R.O.C. E-mail: chency@mail.ytit.edu.tw,

2Department of Mechanical and Electro-Mechanical Engineering, National Sun Yat-sen University, Kaohsiung City 80424, Taiwan, R.O.C. E-mail: d9038809@student.nsysu.edu.tw,

3Center for Marine Technology, National Sun Yat-sen University, Kaohsiung City 80424, Taiwan, R.O.C. E-mail: ifan@mail.ncku.edu.tw, and

4Department of Logistics Management, Shu-Te University, 59 Hun Shan Rd.,Yen Chau, Kaohsiung County 82445, Taiwan, R.O.C.

#Corresponding author E-mail (Chen-Wu Chen): cwchen@mail.stu.edu.tw

 

ABSTRACT

This study analyzes the interfacial wave motion of a stratified two-layer fluid in a three-dimension domain. The proposed analytical solution considers the relationship between nonlinearity and frequency dispersion, but ignores viscous effects. The governing equations based on the Navier-Stokes equations are formed to simulate internal solitary wave (ISW) propagation over a variable seabed. In addition to numerical results, theoretical formulations are established to obtain analytical solutions. Numerical results indicate that at a given ratio of the height of a submarine ridge and the lower layer thickness, a depression-type ISW would generate a larger trailing oscillation than an elevation-type ISW. An elevation-type ISW is apparently evolved, while a depression-type ISW propagates on a trapezoidal shelf in a depth ratio, where the upper layer is thicker than the lower layer.

Keywords: internal solitary wave; Navier-Stokes equation; numerical model; variable bathymetry; wave fluctuation.

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