Mathematical modeling and numerics of particle-laden flows: unresolved CFD-DEM

Roman Kostal

Publikation: AbschlussarbeitMasterarbeit


The problem of simultaneous flow of a fluid and a granular material is one of large interest
to natural scientists and engineers alike. In this thesis we deal with the mathematical
modeling and numerics for this problem. Recent advances in computing allow tracking
large numbers of particles in a Lagrangian manner by the so-called discrete element method
(DEM), while solving for the fluid flow field by standard methods of computational
fluid dynamics (CFD). After briefly discussing various approaches to this problem, we
look in detail at the so-called unresolved CFD-DEM paradigm, which employs a volumeaveraged
version of the Navier-Stokes equations (VANS). We derive the VANS equations
by using the theory of distributions as introduced by Schwartz and then examine how
the VANS equations are coupled to particle calculations when obtaining a numerical
solution. Finally, we compare some methods for calculating the volume fraction.
QualifikationMaster of Science
Betreuer/-in / Berater/-in
  • Mauser, Norbert, Betreuer:in, Externe Person
  • Reichl, Christoph, Betreuer:in
  • Unterluggauer, Julian, Betreuer:in
PublikationsstatusAngenommen/Im Druck - 2023

Research Field

  • Efficiency in Industrial Processes and Systems
  • Außerhalb der AIT Research Fields

Web of Science subject categories (JCR Impact Factors)

  • Mathematics, Applied
  • Mathematics, Interdisciplinary Applications
  • Engineering


Untersuchen Sie die Forschungsthemen von „Mathematical modeling and numerics of particle-laden flows: unresolved CFD-DEM“. Zusammen bilden sie einen einzigartigen Fingerprint.

Diese Publikation zitieren