A Two-Dimensional Numerical Model for a Turbidity Current

  1. William McCaffrey,
  2. Ben Kneller and
  3. Jeff Peakall
  1. M. Felix

Published Online: 17 MAR 2009

DOI: 10.1002/9781444304275.ch5

Particulate Gravity Currents

Particulate Gravity Currents

How to Cite

Felix, M. (2001) A Two-Dimensional Numerical Model for a Turbidity Current, in Particulate Gravity Currents (eds W. McCaffrey, B. Kneller and J. Peakall), Blackwell Publishing Ltd., Oxford, UK. doi: 10.1002/9781444304275.ch5

Editor Information

  1. School of Earth Sciences, University of Leeds, Leeds, LS2 9JT, West Yorkshire, UK

Author Information

  1. School of Earth Sciences, University of Leeds, Leeds, LS2 9JT, West Yorkshire, UK

Publication History

  1. Published Online: 17 MAR 2009
  2. Published Print: 24 APR 2001

ISBN Information

Print ISBN: 9780632059218

Online ISBN: 9781444304275

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Keywords:

  • two-dimensional numerical model for turbidity current;
  • 2-D numerical model for flow of and deposition from turbidity current;
  • turbidity currents - coarse clastic sediments transported and deposited in deep sea;
  • multiphase flow approach;
  • turbulence model;
  • bulk fluid flow;
  • volume conservation equation;
  • Mellor–Yamada model with boundary layer approximation;
  • coordinate transformation

Summary

A 2-D numerical model for flow of and deposition from a turbidity current was developed to simulate processes on a natural scale and topography for flows with sand-size sediment. The velocity of the bulk fluid (sediment + water) is calculated from a momentum equation that is derived from the Navier–Stokes equation using the hydrostatic and boundary layer approximations. Sediment concentrations are calculated with advection–diffusion equations for each grain size and turbulence is taken into account by using the Mellor–Yamada level 2½ second-order closure model. The effect of the presence of particles on the turbulence other than through buoyancy is incorporated through a drag term that leads to an extra dissipation term in the turbulent kinetic energy equation and in the turbulent lengthscale equation. The equations are solved numerically using a finite volume method on a non-staggered grid with a BDF method. Model results are shown for two flows with different initial concentrations, showing the behaviour of the model.