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Classification of internal solitary wave breaking over a slope

Keisuke Nakayama1, Takahiro Sato1, Kenji Shimizu1, and Leon Boegman2

  • 1Department of Civil Engineering, Kobe University, 1-1 Rokkodai-Cho, Nada-Ku, Kobe-Shi, Kobe 657-0013, Japan
  • 2Environmental Fluid Dynamics Laboratory, Department of Civil Engineering, Queen's University, 58 University Avenue, Kingston, Ontario K7L 3N6, Canada

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Phys. Rev. Fluids 4, 014801 – Published 2 January, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.014801

Abstract

Breaking of shoaling internal solitary waves (ISWs) is important for mixing and mass transport processes in oceans and lakes. For ISWs in a two-layer stratified fluid, previous studies identified four breaker types: surging, plunging, collapsing, and fission. The latest classification of these breaker types is based on the wave slope Sw and the bottom slope S; however, this classification was found to be unsatisfactory in delineating collapsing and plunging breakers. The present study proposes a new classification for these two breaker types using extended data sets, consisting of published experimental data and the results of new numerical simulations. It was found that a single nondimensional index BISW=(S/Sw)ReISW2 delineates collapsing and plunging breakers in the extended data, where ReISW is a new wave Reynolds number that accounts for nonlinear wave steepening.

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Phys. Rev. Fluids 4, 014801– Published 2 January, 2019
  • Received 11 August 2018
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