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Simulations of 3D/4D Precipitation Processes in a Turbulent Flow Field

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • Volker John

    (Weierstrass Institute for Applied Analysis and Stochastics (WIAS)
    Free University of Berlin, Department ofMathematics and Computer Science)

  • Michael Roland

    (Weierstrass Institute for Applied Analysis and Stochastics (WIAS))

Abstract

Precipitation processes are modeled by population balance systems. An expensive part of their simulation 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.

Suggested Citation

  • Volker John & Michael Roland, 2010. "Simulations of 3D/4D Precipitation Processes in a Turbulent Flow Field," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 479-487, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-11795-4_51
    DOI: 10.1007/978-3-642-11795-4_51
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