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Abstracts <p>A one-dimensional evolutionary system of equations is proposed that describes the motion of a thin bottom gravity current in a submerged environment of a lighter fluid in the Boussinesq approximation, taking into account the development of shear instability and the formation of an intermediate mixing layer. For hydrostatic flows, the propagation velocities of disturbances are determined and the concept of subcritical (supercritical) flow is formulated. An unsteady problem of the mixing layer is considered. Evidently, a monotonic or an oscillating mixing layer as a function of the Froude number of the incoming flow is formed. In the first case of a monotonic mixing layer, maximum entrainment is attained and a stationary solution is determined over a finite interval. For flows with a&#xa0;nonhydrostatic pressure distribution in the lower layer, steady solutions are constructed in the form of second-mode solitary waves adjacent to a given constant flow. Unsteady computations of the formation and propagation of large-amplitude bottom waves are performed.</p>

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Wave Regimes and Mixing in Bottom Gravity Currents

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • A. A. Chesnokov,
  • S. K. Tarasov

摘要

Abstracts

A one-dimensional evolutionary system of equations is proposed that describes the motion of a thin bottom gravity current in a submerged environment of a lighter fluid in the Boussinesq approximation, taking into account the development of shear instability and the formation of an intermediate mixing layer. For hydrostatic flows, the propagation velocities of disturbances are determined and the concept of subcritical (supercritical) flow is formulated. An unsteady problem of the mixing layer is considered. Evidently, a monotonic or an oscillating mixing layer as a function of the Froude number of the incoming flow is formed. In the first case of a monotonic mixing layer, maximum entrainment is attained and a stationary solution is determined over a finite interval. For flows with a nonhydrostatic pressure distribution in the lower layer, steady solutions are constructed in the form of second-mode solitary waves adjacent to a given constant flow. Unsteady computations of the formation and propagation of large-amplitude bottom waves are performed.