Export file:


  • RIS(for EndNote,Reference Manager,ProCite)
  • BibTex
  • Text


  • Citation Only
  • Citation and Abstract

Wind-blown particulate transport: A review of computational fluid dynamics models

1 Optiflow Company, 160 Chemin de la Madrague-Ville, Marseille, 13015, France
2 Department of Mathematical Sciences Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy

The transport of particulate by wind constitutes a relevant phenomenon in environmental sciences and civil engineering, because erosion, transport and deposition of particulate can cause serious problems to human infrastructures. From a mathematical point of view, modeling procedure for this phenomenon requires handling the interaction between different constituents, the transfer of a constituent from the air to the ground and viceversa, and consequently the ground-surface interaction and evolution. Several approaches have been proposed in the literature, according to the specific particulate or application. We here review these contributions focusing in particular on the behavior of sand and snow, which almost share the same mathematical modeling issues, and point out existing links and analogies with wind driven rain. The final aim is then to classify and analyze the different mathematical and computational models in order to facilitate a comparison among them. A first classification of the proposed models can be done distinguishing whether the dispersed phase is treated using a continuous or a particle-based approach, a second one on the basis of the type of equations solved to obtain particulate density and velocity, a third one on the basis of the interaction model between the suspended particles and the transporting fluid.
  Article Metrics


1. Abadie MO, Mendes N (2008) Numerical assessment of turbulence effect on the evaluation of wind-driven rain specific catch ratio. Int Commun Heat Mass Transfer 35: 1253–1261.    

2. Al-Hajraf S, Rubini P (2001) Three-dimensional homogeneous two-phase flow modelling of drifting sand around an open gate. WIT Trans Eng Sci 30: 309–325.

3. Alhajraf S (2000) Numerical simulation of drifting sand, PhD thesis, Cranfield University.

4. Anderson RS, Haff PK (1988) Simulation of eolian saltation. Science 241: 820–823.    

5. Anderson RS, Hallet B (1986) Sediment transport by wind: Toward a general model. Geol Soc Am Bull 97: 523–535.    

6. Andreotti B, Claudin P, Douady S (2002a) Selection of dune shapes and velocities part 1: Dynamics of sand, wind and barchans. Eur Phys J B 28: 321–339.

7. Andreotti B, Claudin P, Douady S (2002b) Selection of dune shapes and velocities part 2: A two-dimensional modelling. Eur Phys J B 28: 341–352.

8. Andrews M, O'rourke P (1996) The multiphase particle-in-cell (MP-PIC) method for dense particulate flows. Int J Multiphase Flow 22: 379–402.    

9. Arastoopour H, Pakdel P, Adewumi M (1990) Hydrodynamic analysis of dilute gas-solids flow in a vertical pipe. Powder Technol 62: 163–170.    

10. Balachandar S, Eaton J (2010) Turbulent dispersed multiphase flow. Annu Rev Fluid Mech 42: 111–133.    

11. Bang B, Nielsen A, Sundsbø P, et al. (1994) Computer simulation of wind speed, wind pressure and snow accumulation around buildings (SNOW-SIM). Energy Build 21: 235–243.    

12. Barnea E, Mizrahi J (1973) A generalized approach to the fluid dynamics of particulate systems: Part 1. General correlation for fluidization and sedimentation in solid multiparticle systems. Chem Eng J 5: 171–189.

13. Benyahia S, Syamlal M, O'Brien TJ (2006) Extension of Hill-Koch-Ladd drag correlation over all ranges of Reynolds number and solids volume fraction. Powder Technol 162: 166–174.    

14. Beyers J, Sundsbø P (2004) Numerical simulation of three-dimensional, transient snow drifting around a cube. J Wind Eng Ind Aerod 92: 725–747.    

15. Beyers M, Waechter B (2008) Modeling transient snowdrift development around complex three-dimensional structures. J Wind Eng Ind Aerod 96: 1603–1615.    

16. Blocken B (2014) 50 years of computational wind engineering: past, present and future. J Wind Eng Ind Aerod 129: 69–102.    

17. Blocken B, Carmeliet J (2010) Overview of three state-of-the-art wind-driven rain assessment models and comparison based on model theory. Build Environ 45: 691–703.    

18. Blocken B, Stathopoulos T, Carmeliet J (2007) CFD simulation of the atmospheric boundary layer: Wall function problems. Atmos Environ 41: 238–252.    

19. Boutanios Z, Jasak H (2017) Two-way coupled Eulerian-Eulerian simulations of drifting snow with viscous treatment of the snow phase. J Wind Eng Ind Aerod 169: 67–76.    

20. Businger J, Wyngaard J, Izumi Y, et al. (1971) Flux profile relationships in the atmospheric surface layer. J Atmos Sci 28: 181–189.    

21. Canuto C, Lo Giudice A (2018) A multi-timestep robin-robin domain decomposition method for time dependent advection-diffusion problems. App Math Comput (In press).

22. Chapman S, Cowling T (1970) The Mathematical Theory of Non-uniform Gases, Cambridge Mathematical Library.

23. Chen C, Wood P (1985) A urbulence closure model for dilute gas particle flows. Can J Chem Eng 63: 349–360. Available from: https://doi.org/10.1002/cjce.5450630301.

24. Choi E (1992) Simulation of wind-driven-rain around a building. J Wind Eng 52: 60–65.

25. Choi E (1997) Numerical modelling of gust effect on wind-driven rain. J Wind Eng Ind Aerod 72: 107–116.    

26. Creyssels M, Dupont P, Moctar AOE, et al. (2009) Saltating particles in a turbulent boundary layer: Experiment and theory. J Fluid Mech 625: 47–74.    

27. Deen N, Annaland MVS, der Hoef MV, et al. (2007) Review of discrete particle modeling of fluidized beds. Chem Eng Sci 62: 28–44.    

28. Di Felice R (1994) The voidage function for fluid-particle interaction systems. Int J Multiphase Flow 20: 153–159.    

29. Durán O, Parteli EJ, Herrmann HJ (2010) A continuous model for sand dunes: Review, new developments and application to barchan dunes and barchan dune fields. Earth Surf Processes Landforms 35: 1591–1600.    

30. Dyer J (1974) A review of flux profile relationships. Boundary-Lay Meteorol 7: 363–372.    

31. Elghobashi S (1991) Particle-laden turbulent flows: Direct simulation and closure models, In: Oliemans, R.V.A. Editor, Computational Fluid Dynamics for the Petrochemical Process Industry, Dordrecht: Springer, 91–104.