Open AccessOpen Access


A Variational Multiscale Method for Particle Dispersion Modeling in the Atmosphere

Y. Nishio1,*, B. Janssens1, K. Limam2, J. van Beeck3

1 Royal Military Academy (RMA), Brussels, 1000, Belgium
2 Universite de La Rochelle (ULR), La Rochelle, 17000, France
3 Von Karman Institute for Fluid Dynamics (VKI), Sint-Genesius-Rode, 1640, Belgium

* Corresponding Author: Y. Nishio. Email:

(This article belongs to this Special Issue: Materials and Energy an Updated Image for 2021)

Fluid Dynamics & Materials Processing 2023, 19(3), 743-753.


A LES model is proposed to predict the dispersion of particles in the atmosphere in the context of Chemical, Biological, Radiological and Nuclear (CBRN) applications. The code relies on the Finite Element Method (FEM) for both the fluid and the dispersed solid phases. Starting from the Navier-Stokes equations and a general description of the FEM strategy, the Streamline Upwind Petrov-Galerkin (SUPG) method is formulated putting some emphasis on the related assembly matrix and stabilization coefficients. Then, the Variational Multiscale Method (VMS) is presented together with a detailed illustration of its algorithm and hierarchy of computational steps. It is demonstrated that the VMS can be considered as a more general version of the SUPG method. The final part of the work is used to assess the reliability of the implemented predictor/multicorrector solution strategy.


Cite This Article

Nishio, Y., Janssens, B., Limam, K., Beeck, J. V. (2023). A Variational Multiscale Method for Particle Dispersion Modeling in the Atmosphere. FDMP-Fluid Dynamics & Materials Processing, 19(3), 743–753.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 577


  • 404


  • 0


Share Link