WIAS Preprint No. 1716, (2012)

Numerical methods for the simulation of an aggregation-driven droplet size distribution


  • Bordás, Robert
  • John, Volker
    ORCID: 0000-0002-2711-4409
  • Schmeyer, Ellen
  • Thévenin, Dominique

2010 Mathematics Subject Classification

  • 76F65 76T10


  • population balance systems, TVD-ENO scheme, group FEM-FCT method, numerical computation of coalescence integrals




A droplet size distribution in a turbulent flow field is considered and modeled by means of a population balance system. This paper studies different numerical methods for the 4D population balance equation and their impact on an output of interest, the time-space-averaged droplet size distribution at the outlet which is known from experiments. These methods include different interpolations of the experimental data at the inlet, various discretizations in time and space, and different schemes for computing the aggregation integrals. It will be shown that notable changes in the output of interest might occur. In addition, the efficiency of the studied methods is discussed.

Appeared in

  • Theor. Comput. Fluid Dyn., 27 (2013) pp. 253--271.

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