Numerical Simulation of the Drop Size Distribution in a Spray

  • Christian Lécot
  • Moussa Tembely
  • Arthur Soucemarianadin
  • Ali Tarhini
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 23)

Abstract

Classical methods of modeling predict a steady-state drop size distribution by using empirical or analytical approaches. In the present analysis, we use the maximum of entropy method as an analytical approach for producing the initial data; then we solve the coagulation equation to approximate the evolution of the drop size distribution. This is done by a quasi-Monte Carlo simulation of the conservation form of the equation. We compare the use of pseudo-random and quasi-random numbers in the simulation. It is shown that the proposed method is able to predict experimental phenomena observed during spray generation.

Keywords

Monte Carlo Star Discrepancy Conservation Form Drop Size Distribution Generalize Gamma Distribution 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Christian Lécot
    • 1
  • Moussa Tembely
    • 2
  • Arthur Soucemarianadin
    • 2
  • Ali Tarhini
    • 3
  1. 1.Laboratoire de MathématiquesUMR 5127 CNRS & Université de SavoieLe Bourget-du-Lac CedexFrance
  2. 2.Laboratoire des Écoulements Géophysiques et Industriels, UMR 5519 UJF & CNRS & INPGUniversité de GrenobleSaint Martin d’HèresFrance
  3. 3.Département de MathématiquesUniversité Libanaise, Faculté des Sciences IHadath – BeyrouthLiban

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