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Fluid–structure interaction of downwind sails: a new computational method

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Abstract

The spreading of high computational resources at very low costs led, over the years, to develop new numerical approaches to simulate the fluid surrounding a sail and to investigate the fluid–structure interaction. Most methods have concentrated on upwind sails, due to the difficulty of implementing downwind sailing configurations that present, usually, the problem of massive flow separation and large displacements of the sail under wind load. For these reasons, the problem of simulating the fluid–structure interaction (FSI) on downwind sails is still subject of intensive investigation. In this paper, a new weak coupled procedure between a RANS solver and a FEM one has been implemented to study the FSI problem in downwind sailing configurations. The proposed approach is based on the progressive increasing of the wind velocity until reaching the design speed. In this way, the structural load is also applied progressively, therefore, overcoming typical convergence difficulties due to the non-linearity of the problem. Simulations have been performed on an all-purpose fractional gennaker. The new proposed method has been also compared with a classic weak FSI approach. Comparable results have been obtained in terms of flying shape of the gennaker and fluid-dynamic loads. The most significant characteristic of the proposed procedure is the easiness to find a solution in a very robust way without convergence problem, and also the capability to reduce the simulation time with regard to the computational cost.

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Abbreviations

AoA:

Angle of attack

AWA:

Apparent wind angle

AWS:

Apparent wind speed

TWA:

True wind angle

TWS:

True wind speed

VPP:

Velocity prediction program

References

  1. Milgram JH (1968) The aerodynamics of sails. In: 7th symposium naval hydrodynamics

  2. Milgram JH (1968) The analytical design of yacht sails. SNAME Annual Meeting, pp 118–160

  3. Gentry AE (1971) The aerodynamics of sail interaction. In: 3rd AIAA symposium aero/hydronautics sail

  4. Gentry AE (1981) A review of modern sail theory. In: Proceedings of 11th AIAA symposium sail

  5. Gentry AE (1988) The application of computational fluid dynamics to sails. In: Symposium hydrodynamics performance enhancement for marine applications

  6. Miyata H, Lee Y-W (1999) Application of CFD simulation to the design of sails. J Mar Sci Technol 4:163–172. https://doi.org/10.1007/PL00010625

    Article  Google Scholar 

  7. Fallow JB (1996) America’s Cup sail design. J Wind Eng Ind Aerodyn 63:183–192. https://doi.org/10.1016/S0167-6105(96)00075-X

    Article  Google Scholar 

  8. Hedges KL, Richards PJ, Mallinson GD (1996) Computer modelling of downwind sails. J Wind Eng Ind Aerodyn 63:95–110. https://doi.org/10.1016/S0167-6105(96)00071-2

    Article  Google Scholar 

  9. Collie SJ, Gerritsen M, Jackson P (2001) A review of turbulence modelling for use in sail flow analysis. School of Engineering Report No. 603, Auckland, NZ, October 23, 2001

  10. Yoo J, Kim HT (2006) Computational and experimental study on performance of sails of a yacht. Ocean Eng 33:1322–1342. https://doi.org/10.1016/j.oceaneng.2005.08.008

    Article  Google Scholar 

  11. Ciortan C, Guedes Soares C (2007) Computational study of sail performance in upwind condition. Ocean Eng 34:2198–2206. https://doi.org/10.1016/j.oceaneng.2007.04.005

    Article  Google Scholar 

  12. Masuyama Y, Tahara Y, Fukasawa T, Maeda N (2009) Database of sail shapes versus sail performance and validation of numerical calculations for the upwind condition. J Mar Sci Technol 14:137–160. https://doi.org/10.1007/s00773-009-0056-3

    Article  Google Scholar 

  13. Spenkuch T, Turnock SR, Scarponi M, Shenoi RA (2011) Modelling multiple yacht sailing interactions between upwind sailing yachts. J Mar Sci Technol 16:115–128. https://doi.org/10.1007/s00773-010-0115-9

    Article  Google Scholar 

  14. Kim W-J, Yoo J, Chen Z et al (2010) Hydro- and aerodynamic analysis for the design of a sailing yacht. J Mar Sci Technol 15:230–241. https://doi.org/10.1007/s00773-010-0088-8

    Article  Google Scholar 

  15. Lasher WC, Richards PJ (2007) Validation of Reynolds-averaged Navier–Stokes simulations for International America’ s cup class spinnaker force coefficients in an atmospheric boundary layer. J Ship Res 51:22–38

    Google Scholar 

  16. Lasher WC, Sonnenmeier JR (2008) An analysis of practical RANS simulations for spinnaker aerodynamics. J Wind Eng Ind Aerodyn 96:143–165. https://doi.org/10.1016/j.jweia.2007.04.001

    Article  Google Scholar 

  17. Viola IM (2009) Downwind sail aerodynamics: a CFD investigation with high grid resolution. Ocean Eng 36:974–984. https://doi.org/10.1016/j.oceaneng.2009.05.011

    Article  Google Scholar 

  18. Viola IM, Bot P, Riotte M (2013) Upwind sail aerodynamics: a RANS numerical investigation validated with wind tunnel pressure measurements. Int J Heat Fluid Flow 39:90–101. https://doi.org/10.1016/j.ijheatfluidflow.2012.10.004

    Article  Google Scholar 

  19. Cella U, Cucinotta F, Sfravara F (2017) Sail plan parametric CAD model for an A-Class catamaran numerical optimization procedure using open source tools. In: Eynard B, Nigrelli V, Oliveri S, Peris-Fajarnes G, Rizzuti S (eds) Advances on Mechanics, Design Engineering and Manufacturing. Lecture Notes in Mechanical Engineering. Springer, Cham, pp 547–554.  ISBN 978-3-319-45780-2. https://doi.org/10.1007/978-3-319-45781-9_55  

  20. Richter HJ, Horrigan KC, Braun JB (2003) Computational fluid dynamics for downwind sails. In: Proceedings 16th Chesapeake Sailing Yacht symposium

  21. Renzsh H, Graf K (2010) Fluid structure interaction simulation of spinnakers getting closer to reality. In: International conference on innovation in high performance sailing Yachts

  22. Michalski A, Kermel PD, Haug E et al (2011) Validation of the computational fluid–structure interaction simulation at real-scale tests of a flexible 29 m umbrella in natural wind flow. J Wind Eng Ind Aerodyn 99:400–413. https://doi.org/10.1016/j.jweia.2010.12.010

    Article  Google Scholar 

  23. Augier B, Bot P, Hauville F, Durand M (2012) Experimental validation of unsteady models for fluid–structure interaction: application to yacht sails and rigs. J Wind Eng Ind Aerodyn 101:53–66. https://doi.org/10.1016/j.jweia.2011.11.006

    Article  Google Scholar 

  24. Vázquez JGV (2007) Nonlinear analysis of orthotropic membrane and shell structures including fluid–structure interaction (Ph.D. thesis). Universitat Politécnica de Catalunya

  25. Trimarchi D (2012) Analysis of downwind sail structures using non-linear shell finite elements wrinkle development and fluid interaction effects. PhD thesis, Faculty of Engineering and the Environment Southampton: University of Southampton, England

  26. Hubner B, Walhorn E, Dinkler D (2004) A monolithic approach to fluid–structure interaction using space-time finite elements. Comput Methods Appl Mech Eng 193:2087–2104

    Article  MATH  Google Scholar 

  27. Lombardi M, Cremonesi M, Giampieri A, Parolini N, Quarteroni A (2012) A strongly coupled fluid–structure interaction model for wind-sail simulation. In: 4th high performance Yacht design conference Auckland, 12–14 March, 2012

  28. Bergsma FMJ, Moerke A, Zaaijer KS, Hoeijmakers HWM (2013) Development of an America’ S Cup 45 tacking simulator. In: Third international conference on innovation in high performance sailing Yachts. Lorient, France, pp 239–248

  29. Jackins CL, Tanimoto SL (1980) Oct-trees and their use in representing three-dimensional objects. Comput Graph Image Process 14:249–270. https://doi.org/10.1016/0146-664X(80)90055-6

    Article  Google Scholar 

  30. Hargreaves DM, Wright NG (2007) On the use of the k − ε model in commercial CFD software to model the neutral atmospheric boundary layer. J Wind Eng Ind Aerodyn 95:355–369. https://doi.org/10.1016/j.jweia.2006.08.002

    Article  Google Scholar 

  31. Richards P, Hoxey R (1993) Appropriate boundary conditions for computational wind engineering models using the k − ε turbulence model. J Wind Eng Ind Aerodyn 46–47:145–153. https://doi.org/10.1016/0167-6105(93)90124-7

    Article  Google Scholar 

  32. WMO (2008) Guide to Meteorological Instruments and Methods of observation. Guid to Meteorol Instruments Methods Obs. doi: Guide to meteorological instrument and observing practices

  33. Blocken B, Stathopoulos T, Carmeliet J (2007) CFD simulation of the atmospheric boundary layer: wall function problems. Atmos Environ 41:238–252. https://doi.org/10.1016/j.atmosenv.2006.08.019

    Article  Google Scholar 

  34. DSM DyneemaFact sheet: Dyneema high strength, high modulus polyethylene fiber DSM Dyneema, Urmond, Netherlands (2008)  

  35. Graf KU, Renzsch HF (2006) RANSE investigations of downwind sails and integration into sailing Yacht design processes. In: 2nd High Perform Yacht Des Conference, pp 14–16

  36. Trimarchi D, Rizzo CM (2009) A FEM-Matlab code for fluid–structure interaction coupling with application to sail aerodynamics of yachts. In: 13th International Congress Maritime Association of the Mediterranean, pp 12–15

  37. Calì M, Speranza D, Martorelli M (2017) Dynamic spinnaker performance through digital photogrammetry, numerical analysis and experimental tests. In: Advances on mechanics, design engineering and manufacturing. Springer International Publishing, New York, pp 585–595

    Chapter  Google Scholar 

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Authors and Affiliations

  1. Dipartimento dell’Innovazione Industriale e Digitale, Università degli Studi di Palermo, Viale delle Scienze, 90128, Palermo, Italy

    A. Cirello, T. Ingrassia & V. Nigrelli

  2. University of Messina, Contrada di Dio, 98166, Messina, Italy

    F. Cucinotta & F. Sfravara

Authors
  1. A. Cirello
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  2. F. Cucinotta
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  3. T. Ingrassia
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  4. V. Nigrelli
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  5. F. Sfravara
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Correspondence to F. Cucinotta.

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Cirello, A., Cucinotta, F., Ingrassia, T. et al. Fluid–structure interaction of downwind sails: a new computational method. J Mar Sci Technol 24, 86–97 (2019). https://doi.org/10.1007/s00773-018-0533-7

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  • DOI: https://doi.org/10.1007/s00773-018-0533-7

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