Journal of Hydrodynamics

, Volume 30, Issue 4, pp 564–572 | Cite as

Tracer advection in a pair of adjacent side-wall cavities, and in a rectangular channel containing two groynes in series

  • Mohammad Mahdi Jalali
  • Alistair G. L. BorthwickEmail author


A model is presented of particle advection near groynes in an open channel. Open channel hydrodynamics is modelled using the shallow water equations, obtained as the depth-averaged form of Reynolds-averaged continuity and Navier-Stokes momentum equations. A Lagrangian particle-tracking model is used to predict trajectories of tracer particles advected by the flow field, with bilinear interpolation representing the continuous flow field. The particle-tracking model is verified for chaotic advection in an alternating flow field of a pair of blinking vortices. The combined shallow flow and Lagrangian particle-tracking model is applied to the simulation of tracer advection in flow past a pair of side-wall cavities separated by a groyne, and in an open rectangular channel containing a pair of parallel groynes oriented normal to the channel wall. The study is potentially useful in understanding mixing processes in shallow flow fields near hydraulic structures in wide rivers.

Key words

Shallow water equations Lagrangian particle tracking chaotic advection blinking vortices side-wall cavities groynes 


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The first author is grateful to the University of Edinburgh which partly funded this research.


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Copyright information

© China Ship Scientific Research Center 2018

Authors and Affiliations

  • Mohammad Mahdi Jalali
    • 1
  • Alistair G. L. Borthwick
    • 1
    Email author
  1. 1.Institute for Energy Systems, School of EngineeringThe University of EdinburghEdinburghUK

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