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Multi-directional Irregular Wave Modelling with CFD

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Proceedings of the Fourth International Conference in Ocean Engineering (ICOE2018)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 22))

Abstract

The design of coastal structures requires accurate simulations of the wave conditions. Computational fluid dynamics (CFD) captures most complexities of the wave physics with few assumptions and therefore is considered to be an ideal alternative for the offshore wave simulation. However, the conventional uni-directional regular wave CFD simulation does not represent the reality and tends to overestimate the wave conditions. The irregular bottom topography and varying water depth in the coastal area make the simulation more complicated. To give a more realistic simulation in a coastal area, a directional irregular wave model is to be implemented in a CFD code. This paper presents a multi-directional irregular wave implementation in the open-source CFD model REEF3D. The non-directional frequency spectra Joint North Sea Wave Observation Project (JONSWAP) together with a cos-squared-type directional spreading function is used for the simulation. REEF3D solves the incompressible Navier–Stokes equations with the finite difference method on a staggered Cartesian grid and uses the level-set method to capture the free surface under the two-phase flow approximation. The relaxation method is used for the wave generation and numerical beaches. The irregular waves are generated by the superimposition of a finite number of regular waves. The resulting significant wave heights are compared with another numerical model SWASH. The comparisons show good performance of CFD simulations in predicting irregular wave behaviours. The differences are also discussed for future references.

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References

  1. Alagan-Chella M, Bihs H, Myrhaug D, Muskulus M (2017) Breaking solitary waves and breaking wave forces on a vertically mounted slender cylinder over an impermeable sloping seabed. J Ocean Eng Marine Energy 3(1):1–19. https://doi.org/10.1007/s40722-016-0055-5

    Article  Google Scholar 

  2. Bihs H, Kamath A, Alagan-Chella M, Aggarwal A, Arntsen ØA (2016) A new level set numerical wave tank with improved density interpolation for complex wave hydrodynamics. Comput Fluids 140(Supplement C):191–208. https://doi.org/10.1016/S0045793016302729

  3. Bouws E, Günther H, Rosenthal W, Vincent CL (1985) Similarity of the wind wave spectrum in finite depth water: 1. spectral form. J Geophys Res Oceans 90(C1):975–986. https://doi.org/10.1029/JC090iC01p00975

  4. DNV. Modelling and analysis of marine operations. Standard DNV-RP-H103, Det Norske Veritas, Veritasveien 1, Hvik, Norway, April 2011

    Google Scholar 

  5. Ducrozet G, Bonnefoy F, Le Touzé D, Ferrant P HOS-ocean: open-source solver for nonlinear waves in open ocean based on high-order spectral method. Comput Phys Commun 203:245–254, June 2016. https://doi.org/10.1016/j.euromechu.2012.01.017

  6. Ducrozet G, Bonnefoy F, Le Touzé D, Ferrant P A modified high-order spectral method for wavemaker modelling in a numerical wave tank. Eur J Mech B/Fluids, July 2012. https://doi.org/10.1016/j.euromechu.2012.01.017

  7. Falgout RD, Jones JE, Yang UM Conceptual interfaces in hypre. Future Gener Comput Syst 22(1-2):239–251, Jan 2006. https://doi.org/10.1016/j.future.2003.09.006

  8. Jiang GS, Shu CW (1996) Efficient implementation of weighted ENO schemes. J Comput Phys 126(1):202–228

    Article  MathSciNet  Google Scholar 

  9. Hasselmann K et al (1973) Measurements of wind-wave growth and swell decay during the joint north sea wave project (jonswap). Ergänzung zur Deut. Hydrogr. Z., Reihe A (8), 12:1–95

    Google Scholar 

  10. Ji X, Liu S, Li J, Jia W (2017) Numerical investigation of multidirectional random wave interaction with a large cylinder. Proc Inst Mech Eng Part M J Eng Maritime Environ 231(1):271–283. https://doi.org/10.1177/1475090216642464

    Article  Google Scholar 

  11. Kamath A, Alagan-Chella M, Bihs H, Arntsen ØA (2016) Breaking wave interaction with a vertical cylinder and the effect of breaker location. Ocean Eng 128:105–115. https://doi.org/10.1016/S0029801816304590

    Article  MATH  Google Scholar 

  12. Li J, Wang Z, Liu S (2012) Experimental study of interactions between multi-directional focused wave and vertical circular cylinder, part i: wave run-up. Coast Eng 64(Supplement C):151–160. https://doi.org/10.1016/S0378383912000270

  13. Li J, Wang Z, Liu S (2014) Experimental study of interactions between multi-directional focused wave and vertical circular cylinder, part ii: wave force. Coast Eng 83(Supplement C):233–242. https://doi.org/10.1016/S0378383913001129

  14. Longuet-Higgins MS, Cartwright DE, Smith ND (1963) Observations of the directional spectrum of sea waves using the motions of a floating buoy. Proceedings of the conference of ocean wave spectra, pp 111–132

    Google Scholar 

  15. Mitsuyasu HEA (1975) Observations of the directional spectrum of ocean waves using a clover-leaf buoy. J Phys Oceangr, pp 750–760

    Google Scholar 

  16. Ochi MK (1998) Ocean waves: the stochastic approach. Cambridge University Press

    Google Scholar 

  17. Pierson WJ, Neumann G, James RW (1955) Practical methods for observing and forecasting ocean waves by means f wave spectra and statistics

    Google Scholar 

  18. Pierson WJ, Moskowitz L (1964) A proposed spectral form for fully developed wind seas based on the similarity theory of s. a. kitaigorodskii. J Geophys Res 69(24):5181–5190. https://doi.org/10.1029/JZ069i024p05181

  19. Shu CW, Osher S Efficient implementation of essentially non-oscillatory shock-capturing schemes. J Comput Phys 77(2):439–471, Aug 1988

    Google Scholar 

  20. Wang W, Bihs H, Kamath A, Arntsen ØA (2017) Large-scale CFD modelling of wave propagation in Sulafjord for the e39 project. In: Proceedings of MekIT17—9th national conference on computational mechanics

    Google Scholar 

  21. Wang W, Bihs H, Kamath A, Arntsen ØA (2017) Large-scale CFD modelling of wave propagation into Mehamn harbour. In: Proceedings of MARINE 2017 computational methods in marine engineering VII

    Google Scholar 

  22. You ZJ (2008) A close approximation of wave dispersion relation for direct calculation of wavelength in any coastal water depth. Appl Ocean Res 30(2):113–119. https://doi.org/10.1016/S0141118708000382

    Article  Google Scholar 

  23. Zijlema M, Stelling G, Smit P (2011) Swash: an operational public domain code for simulating wave fields and rapidly varied flows in coastal waters. Coast Eng 58(10):992–1012. https://doi.org/10.1016/S0378383911000974

    Article  Google Scholar 

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Acknowledgements

This study has been carried out under the E39 fjord crossing project(No. 304624) and the authors are grateful to the grants provided by the Norwegian Public Roads Administration. This study was supported in part with computational resources at the Norwegian University of Science and Technology (NTNU) provided by NOTUR project (No. NN2620K), http://www.notur.no.

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Correspondence to Weizhi Wang .

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Wang, W., Bihs, H., Kamath, A., Arntsen, Ø.A. (2019). Multi-directional Irregular Wave Modelling with CFD. In: Murali, K., Sriram, V., Samad, A., Saha, N. (eds) Proceedings of the Fourth International Conference in Ocean Engineering (ICOE2018). Lecture Notes in Civil Engineering, vol 22. Springer, Singapore. https://doi.org/10.1007/978-981-13-3119-0_31

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  • DOI: https://doi.org/10.1007/978-981-13-3119-0_31

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-3118-3

  • Online ISBN: 978-981-13-3119-0

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