WIAS Preprint No. 1463, (2009)

Simulations of 3D/4D precipitation processes in a turbulent flow field


  • John, Volker
    ORCID: 0000-0002-2711-4409
  • Roland, Michael

2010 Mathematics Subject Classification

  • 76F65 65M06 65M60


  • population balance system, precipitation process, incompressible Navier--Stokes equations, transport equations, FEM--FCT scheme, upwind finite difference method




Precipitation processes are modeled by population balance systems. A very expensive part of the simulation of population balance systems is the solution of the equation for the particle size distribution (PSD) since this equation is defined in a higher dimensional domain than the other equations in the system. This paper studies different approaches for the solution of this equation: two finite difference upwind schemes and a linear finite element flux--corrected transport method. It is shown that the different schemes lead to qualitatively different solutions for an output of interest.

Appeared in

  • Numerical Mathematics and Advanced Applications 2009, G. Kreiss, P. Lötstedt, A. Målqvist, M. Neytcheva, eds., Springer, Heidelberg et al., 2010, pp. 479-- 487

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