Computational Mechanics

, Volume 54, Issue 5, pp 1191–1202 | Cite as

A variational multiscale method for particle-cloud tracking in turbomachinery flows

  • A. Corsini
  • F. Rispoli
  • A. G. Sheard
  • K. Takizawa
  • T. E. Tezduyar
  • P. Venturini
Original Paper


We present a computational method for simulation of particle-laden flows in turbomachinery. The method is based on a stabilized finite element fluid mechanics formulation and a finite element particle-cloud tracking method. We focus on induced-draft fans used in process industries to extract exhaust gases in the form of a two-phase fluid with a dispersed solid phase. The particle-laden flow causes material wear on the fan blades, degrading their aerodynamic performance, and therefore accurate simulation of the flow would be essential in reliable computational turbomachinery analysis and design. The turbulent-flow nature of the problem is dealt with a Reynolds-Averaged Navier–Stokes model and Streamline-Upwind/Petrov–Galerkin/Pressure-Stabilizing/Petrov–Galerkin stabilization, the particle-cloud trajectories are calculated based on the flow field and closure models for the turbulence–particle interaction, and one-way dependence is assumed between the flow field and particle dynamics. We propose a closure model utilizing the scale separation feature of the variational multiscale method, and compare that to the closure utilizing the eddy viscosity model. We present computations for axial- and centrifugal-fan configurations, and compare the computed data to those obtained from experiments, analytical approaches, and other computational methods.


Particle cloud tracking Turbulent particle dispersion Variational multiscale method 



The authors acknowledge MIUR support under the projects Ateneo and the Visiting Professor Programme at University of Rome “La Sapienza”. The authors also acknowledge FläktWoods Solyvent and FläktWoods AB.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • A. Corsini
    • 1
  • F. Rispoli
    • 1
  • A. G. Sheard
    • 2
  • K. Takizawa
    • 3
  • T. E. Tezduyar
    • 4
  • P. Venturini
    • 1
  1. 1.Dipartimento di Ingegneria Meccanica e AerospazialeSapienza University of RomeRomeItaly
  2. 2.HowdenUK
  3. 3.Department of Modern Mechanical Engineering and Waseda Institute for Advanced StudyWaseda UniversityTokyoJapan
  4. 4.Mechanical EngineeringRice University - MS 321HoustonUSA

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