Wind and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Numerical modelling of three-dimensional screens, treated as porous media

  • Pomaranzi, Giulia (Department of Mechanical Engineering, Politecnico di Milano) ;
  • Bistoni, Ombretta (Department of Mechanical Engineering, Politecnico di Milano) ;
  • Schito, Paolo (Department of Mechanical Engineering, Politecnico di Milano) ;
  • Zasso, Alberto (Department of Mechanical Engineering, Politecnico di Milano)
  • Received : 2021.06.04
  • Accepted : 2021.10.14
  • Published : 2021.11.25
⟨ Previous Next ⟩

Abstract

Porous structures have a very wide spectrum of application fields. Among them, building engineering and architecture have recently shown the trend of adopting what are called permeable double screen facades as cladding. These are made up of two facades (or skins): the inner one is usually a sealed continuous glazed facade while the outer one is characterized by a porous metallic screen. When it comes to the assessment of the wind loading on such cladding, the aerodynamic behaviour of the outer skin plays a crucial role. This is one of the reasons why the wind's interaction with these porous panels is currently an open research field. The complex 3D shapes the porous skin may have and the intrinsic multi-scale nature of the wind's interaction lead to the need for a general reduced-order model that fully represents the aerodynamic behaviour of the permeable structures. This paper addresses the implementation of a tensorial numerical model that describes the aerodynamics of 3D porous screens, with no geometrical modelling of the porous layer in the computational domain. The proposed reduced-order model is able to address the substantial three-dimensionality and anisotropy of the modern porous structures by full-tensor implementation of the classical Darcy-Forchheimer porosity model. The tensorial formulation of the model together with easy numerical implementation and limited computational onerousness are the strengths of the model proposed here. It is presented together with a validation of the same in the form of a fully resolved CFD solution in which the porous screen is explicitly reproduced. The results reflect the new model's capability to catch the global effects due to the porous structures, in terms of both pressure and velocity fields.

Keywords

References

  1. Allori, D., Bartoli, G., Mannini, C. and Procino, L. (2009), "Wind tunnel modelling of porous elements", ICWE13, 52-61.
  2. Amoroso, S.D. and Levitan, M.L. (2011), "Wind loads for high-solidity open-frame structures", Wind Struct., 14(1), 1-14. http://dx.doi.org/10.12989/was.2011.14.1.001.
  3. Belloli, M., Rosa, L. and Zasso, A. (2014), "Wind loads and vortex shedding analysis on the effects of the porosity on a high slender tower", J. Wind Eng. Ind. Aerod., 126, 75-86. https://doi.org/10.1016/j.jweia.2014.01.004.
  4. Cao, J., Gao, H., Dou, L., Zhang, M., and Li, T. (2019), "Modelling flow in anisotropic porous medium with full permeability tensor", J. Physics: Conference Series, 1324(1), 012054. http://dx.doi.org/10.1088/1742-6596/1324/1/012054.
  5. Chang, C. (2006), "Computational fluid dynamics simulation of pedestrian wind in urban area with the effects of tree", Wind Struct., 9(2), 147-158. http://dx.doi.org/10.12989/was.2006.9.2.147
  6. Chen, H. and Christensen, E.D. (2016), "Investigations on the porous resistance coefficients for fishing net structures", J. Fluids Struct., 65, 76-107. https://doi.org/10.1016/j.jfluidstructs.2016.05.005.
  7. Darcy, H. (1856), Les fontaines publiques de la ville de Dijon: exposition et application., Victor Dalmont.
  8. Feichtner, A., Mackay, E., Tabor, G., Thies, P.R. and Johanning, L. (2021), "Comparison of macro-scale porosity implementations for CFD modelling of wave interaction with thin porous structures", J. Marine Sci. Eng., 9(2), 150. https://doi.org/10.3390/jmse9020150.
  9. Forchheimer, P. (1901), "Wasserbewegung durch boden", Z. Ver. Deutsch, Ing., 45, 1782-1788.
  10. Giachetti, A. (2018), Wind Effects on Permeable Building Envelopes: A Two-Dimensional Exploratory Study, Ph.D. Dissertation, Technische Universitt Braunschweig. Int. J. Numer. Meth. Heat Fluid Flow. http://dx.doi.org/10.1108/HFF01-2019-0065.
  11. Kemper, F.H. and Feldmann, M. (2019), "Wasserbewegung durch boden", J. Wind Eng. Ind. Aerod., 184, 277-288. https://doi.org/10.1016/j.jweia.2018.10.011
  12. Knupp, P.M. and Lage, J.L. (1995), "Generalization of the Forchheimer-extended Darcy flow model to the tensor permeability case via a variational principle", J. Fluid Mech., 299, 97-104. https://doi.org/10.1017/S0022112095003430.
  13. Lasseux, D., Abbasian Arani, A.A., and Ahmadi, A. (2011), "On the stationary macroscopic inertial effects for one phase flow in ordered and disordered porous media", Phys. Fluids, 23(7), 073103. https://doi.org/10.1063/1.3615514.
  14. Miguel, A.F. (1998), "Airflow through porous screens: from theory to practical considerations", Energy Build., 28(1), 63-69. https://doi.org/10.1016/S0378-7788(97)00065-0.
  15. Miguel, A.F., van de Braak, N.J. and Bot, G.P.A. (1997), "Analysis of the Airflow Characteristics of Green- house Screening Materials", J. Agricult. Eng. Re., 67(2), 105-112. https://doi.org/10.1006/jaer.1997.0157.
  16. OpenFOAM: User Guide v1906, https://www.openfoam.com/documentation/guides/latest/doc/guide-turbulence-ras-k-epsilon.html.
  17. Patursson, Robinson Swift, M., Tsukrov, I., Simonsen, K., Baldwin K., Fredriksson, D.W. and Celikkol, B. (2010), "Development of a porous media model with application to flow through and around a net panel", Ocean Eng., 37(2), 314-324. https://doi.org/10.1016/j.oceaneng.2009.10.001.
  18. Pomaranzi, G., Daniotti, N., Schito, P., Rosa, L. and Zasso, A. (2020), "Experimental assessment of the effects of a porous double skin facade system on cladding loads", J. Wind Eng. Ind. Aerod., 196, 104019. https://doi.org/10.1016/j.jweia.2019.104019.
  19. Richards, P.J. and Robinson, M. (1999), "Wind loads on porous structures", J. Wind Eng. Ind. Aerod., 83(1-3), 455-465. https://doi.org/10.1016/S0167-6105(99)00093-8.
  20. Soulaine, C. and Quintard, M. (2014), "On the use of a Darcy-Forchheimer like model for a macro-scale description of turbulence in porous media and its application to structured packings", Int. J. Heat Mass Transfer, 74, 88-100. https://doi.org/10.1016/j.ijheatmasstransfer.2014.02.069.
  21. Tanner, P., Gorman, J. and Sparrow, E. (2019), "Flow-pressure drop characteristics of perforated plates", Int. J. Numer. Meth. Heat Fluid Flow.
  22. Teitel, M. (2010), "Using computational fluid dynamics simulations to determine pressure drops on woven screens", Biosyst. Eng., 105(2), 172-179. https://doi.org/10.1016/j.biosystemseng.2009.10.005.
  23. Teitel, M., Dvorkin, D., Haim, Y., Tanny J. and Seginer, I. (2009), "Comparison of measured and simulated flow through screens: Effects of screen inclination and porosity", Biosyst. Eng., 104(3), 404-416. https://doi.org/10.1016/j.biosystemseng.2009.07.006.
  24. Tropea, C. and Yarin, A.L. (1856), Springer Handbook of Experimental Fluid Mechanics, Springer Science & Business Media.
  25. Xu, M., Patruno, L., Lo, Y. and de Miranda, S. (2020), "On the use of the pressure jump approach for the simulation of separated external flows around porous structures: A forward facing step", J. Wind Eng. Ind. Aerod., 207, 104377. https://doi.org/10.1016/j.jweia.2020.104377.
  26. Yang, J.H. and Lee, S.L. (1999), "Effect of anisotropy on transport phenomena in anisotropic porous media", Int. J. Heat Mass Trans., 42(14), 2673-2681. https://doi.org/10.1016/S0017-9310(98)00334-2.