Internal Solitary Waves of Depression in Rapidly Varying Topography

Authors

  • Hooi Mun Hoe Faculty of Computer Science and Information Technology, Universiti Malaysia Sarawak, 94300 Kota Samarahan, Sarawak, Malaysia
  • Wei King Tiong Faculty of Computer Science and Information Technology, Universiti Malaysia Sarawak, 94300 Kota Samarahan, Sarawak, Malaysia
  • Kim Gaik Tay Department of Communication Engineering, Faculty of Electric and Electronic, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Johor, Malaysia
  • San Nah Sze Faculty of Computer Science and Information Technology, Universiti Malaysia Sarawak, 94300 Kota Samarahan, Sarawak, Malaysi
  • Kang Leng Chiew Faculty of Computer Science and Information Technology, Universiti Malaysia Sarawak, 94300 Kota Samarahan, Sarawak, Malaysia

Keywords:

internal solitary waves, undular bore, variable topography, extended Korteweg-de Vries equation, topographic effects

Abstract

Internal solitary waves have been observed in oceans all over the world. This paper looks at the effect of rapidly varying topography on the propagation of internal solitary waves in the framework of the variable-coefficient extended Korteweg-de Vries equation. We consider internal solitary wave is propagating in a two-layer fluid system. Here we let the depth of the upper layer to be smaller than the depth of lower layer such that initially an internal solitary wave of negative polarity is generated. The governing equation is solved numerically using the method of lines. Numerical results show that under the influence of variable topography, internal solitary waves would fission into few smaller solitary waves, an undular bore is generated for some time before transforms into a radiation wave or the internal solitary wave loses its amplitude when propagates over a sharply varying slope.

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Published

2020-12-16

How to Cite

Mun Hoe, H. ., King Tiong, W. ., Gaik Tay, K. ., Nah Sze, S. ., & Leng Chiew, K. . (2020). Internal Solitary Waves of Depression in Rapidly Varying Topography. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 58(2), 224–236. Retrieved from https://www.akademiabaru.com/submit/index.php/arfmts/article/view/2584

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