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Probabilistic models for particle and scalar transport in fluctuating flows: an evaluation of simple closure approximations

Author

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  • Swailes, David C.
  • Darbyshire, Kirsty F.F.

Abstract

A generalized Fokker–Planck equation is used to describe the transport of discrete particles and fluid-points in fluctuating flows. Simple closure approximations for this equation are considered which allow free-field analytic solutions to be constructed. Results based on these solutions are compared with those obtained from simulation of the underlying, non-Markovian particle and fluid-point trajectories. The work validates the form of the generalized Fokker–Planck equation, and demonstrates the effectiveness of using models based on this equation to study such transport.

Suggested Citation

  • Swailes, David C. & Darbyshire, Kirsty F.F., 1999. "Probabilistic models for particle and scalar transport in fluctuating flows: an evaluation of simple closure approximations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 262(3), pages 307-327.
    • Handle: RePEc:eee:phsmap:v:262:y:1999:i:3:p:307-327
    DOI: 10.1016/S0378-4371(98)00442-7
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