Simulation of Internal Undular Bores in Rapidly Varying Topography

Authors

  • Mun Hoe Hooi 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

DOI:

https://doi.org/10.37934/arfmts.98.2.118127

Keywords:

Internal undular bores, stratified fluid, two-layer fluid, solitary waves, topographic effects, variable topography

Abstract

This paper intends to look at the influence of rapidly varying regions on the propagation of internal undular bores in a two-layer fluid flow. Internal undular bores have been observed in the ocean around the world. The appropriate mathematical model to describe the evolution of internal undular bores in a stratified fluid is the variable-coefficient extended Korteweg-de Vries equation. The governing equation is solved numerically using the method of lines to simulate the propagation of internal undular bores. Our numerical results show that the effects of rapidly varying topography lead to adiabatic and non-adiabatic deformation of the internal undular bores, including the generation of solitary wavetrain, generation of nonlinear wavetrain and generation of rarefaction wave. Besides, multi-phase behaviour is also observed during the evolution.

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Author Biographies

Mun Hoe Hooi, Faculty of Computer Science and Information Technology, Universiti Malaysia Sarawak, 94300 Kota Samarahan, Sarawak, Malaysia

reyonhooi@gmail.com

Wei King Tiong, Faculty of Computer Science and Information Technology, Universiti Malaysia Sarawak, 94300 Kota Samarahan, Sarawak, Malaysia

wktiong@unimas.my

Kim Gaik Tay, Department of Communication Engineering, Faculty of Electric and Electronic, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Johor, Malaysia

tay@uthm.edu.my

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Published

2022-08-14

How to Cite

Mun Hoe Hooi, Wei King Tiong, & Kim Gaik Tay. (2022). Simulation of Internal Undular Bores in Rapidly Varying Topography. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 98(2), 118–127. https://doi.org/10.37934/arfmts.98.2.118127

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Articles