Spatial Filtering for Scale Bridging and its Application to Transport in Dense Particle Beds

Stefan Radl, Federico Municchi

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


We present the method of spatial filtering as a universal approach to support closure development for models of dense fluid-particle systems. Starting from a set of governing equations, we provide an overview of closures that are required at different levels of a model hierarchy. A focus is on closures to be used in meso-scale models, highlighting recent developments that aim at the description of the variability of exchange coefficients, as well as wall effects. Furthermore, attempts to describe the anisotropy of meso-scale stresses, as well as the effect of cohesive particle-particle interactions in the context of macro-scale models are summarized. Computational aspects, together with selected verification cases are documented to stimulate a broader use of the filtering approach. Finally, we outline three future research directions that appear most fruitful. These final thoughts may help to establish more reliable and robust multiphase flow models for reactive systems.
Original languageEnglish
Title of host publicationBridging Scales in Modelling and Simulation of Non-Reacting and Reacting Flows. Part II
PublisherAcademic Press
Publication statusPublished - 1 May 2018

Publication series

NameAdvances in Chemical Engineering
PublisherAcademic Press


  • meso-scale phenomena
  • fluid-particle systems
  • Multiphase flow
  • closure development
  • mathematical modelling
  • particle flow
  • filtering
  • Euler-Lagrange models

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes


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