WIAS Preprint No. 575, (2000)

Evaluation of mean concentration and fluxes in turbulent flows by Lagrangian stochastic models


  • Kurbanmuradov, Orazgeldi
  • Rannik, Üllar
  • Sabelfeld, Karl K.
  • Vesala, Timo

2010 Mathematics Subject Classification

  • 65C05 76N20


  • Turbulent flows, Lagrangian trajectories, forward and backward random estimators, concentration and fluxes




Forward and backward stochastic Lagrangian trajectory simulation methods for calculation of the mean concentration of scalars and their fluxes for sources arbitrarily distributed in space and time are constructed and justified. Generally, absorption of scalars by medium is taken into account. A special case of the source structure, when the scalar is generated by a plane source, say, located close to the ground, is treated. This practically interesting particular case is known in the literature as the footprint problem.

Appeared in

  • Math. Comput. Simulation, 54 (2001) pp. 459--476.

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