DOI QR코드

DOI QR Code

CFD Study for Wave Run-up Characteristics Around a Truncated Cylinder with Damper

  • Zhenhao Song (Department of Naval Architecture and Ocean Engineering, Seoul National University) ;
  • Bo Woo Nam (Department of Naval Architecture and Ocean Engineering, Seoul National University)
  • Received : 2023.09.27
  • Accepted : 2023.10.28
  • Published : 2023.12.31

Abstract

In this study, numerical simulations for a single fixed truncated circular cylinder in regular waves were conducted to investigate the nonlinear wave run-up under various dampers and wave period conditions. The present study used the volume of fluid (VOF) technique to capture the air-water interface. The unsteady Reynolds-averaged Navier-Stokes (URANS) equation with the k- 𝜖 turbulence model was solved using the commercial computational fluid dynamics (CFD) software STAR-CCM+. First, a systematic spatial convergence study was conducted to assess the performance and precision of the present numerical wave tank. The numerical scheme was validated by comparing the numerical results of wave run-up on a bare truncated cylinder with the experimental results, and a good agreement was achieved. Then, a series of parametric studies were carried out to examine the wave run-up time series around the truncated cylinder with single and dual dampers in terms of the first- and second-order harmonic and mean set-up components. Additionally, the local wave field and the flow velocity vectors adjacent to the cylinder were evaluated. It was confirmed that under short wave conditions, the high position of the damper led to a noticeable increase in the wave run-ups with significant changes in the first- and second-order harmonic components.

Keywords

Acknowledgement

This work was supported by the "Development of Design Technology for TLP-type Floating Offshore Wind Turbine System and Scaled Model Test Technique" of the New & Renewable Energy of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Ministry of Trade, Industry and Energy (MOTIE) (No. 20223030020130). This research was also supported by the Korea Agency for Infrastructure Technology Advancement (KAIA) grant funded by the Ministry of Land, Infrastructure and Transport (Grant RS-2023-00250727) through the Korea Floating Infrastructure Research Center at Seoul National University.

References

  1. American Institute of Aeronautics and Astronautics (AIAA). (1998). AIAA guide for the verification and validation of computational fluid dynamics simulations. AIAA.
  2. American Petroleum Institute. (API). (2001). Recommended practice for planning, designing, and constructing floating production systems. American Petroleum Institute.
  3. DNV GL. (2015). Recommended practices (RP) "Column-Stabilised Units" (DNVGL-RP-C103).
  4. Fenton, J. D. (1985). A fifth-order Stokes theory for steady waves. Journal of waterway, port, coastal, and ocean engineering, 111(2), 216-234. https://doi.org/10.1061/(ASCE)0733-950X(1985)111:2(216)
  5. Havelock, T. H. (1940). The pressure of water waves upon a fixed obstacle. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 175(963), 409-421. https://doi.org/10.1098/rspa.1940.0066
  6. Huijs, F., de Bruijn, R., & Savenije, F. (2014). Concept design verification of a semi-submersible floating wind turbine using coupled simulations. Energy Procedia, 53, 2-12. https://doi.org/10.1016/j.egypro.2014.07.210
  7. Kim, J., Jaiman, R., Cosgrove, S., & O'Sullivan, J. (2011). Numerical wave tank analysis of wave run-up on a truncated vertical cylinder. Proceedings of International Conference on Offshore Mechanics and Arctic Engineering, 805-814. https://doi.org/10.1115/OMAE2011-50283
  8. Koo, B. G., Park, D. W., & Paik, K. J. (2014). A study on wave run-up height and depression depth around air-water interface-piercing circular cylinder. Journal of the Korean Society of Marine Environment & Safety, 20(3), 312-317. https://doi.org/10.7837/kosomes.2014.20.3.312
  9. Lefebvre, S., & Collu, M. (2012). Preliminary design of a floating support structure for a 5 MW offshore wind turbine. Ocean Engineering, 40, 15-26. https://doi.org/10.1016/j.oceaneng.2011.12.009
  10. MacCamy, R. C., & Fuchs, R. A. (1954). Wave forces on piles: a diffraction theory (No. 69). US Beach Erosion Board.
  11. Mohseni, M., Esperanca, P. T., & Sphaier, S. H. (2018). Numerical study of wave run-up on a fixed and vertical surface-piercing cylinder subjected to regular, non-breaking waves using OpenFOAM. Applied Ocean Research, 79, 228-252. https://doi.org/10.1016/j.apor.2018.08.003
  12. Morris-Thomas, M. T., & Thiagarajan, K. P. (2004). The run-up on a cylinder in progressive surface gravity waves: harmonic components. Applied Ocean Research, 26(3-4), 98-113. https://doi.org/10.1016/j.apor.2004.11.002
  13. Musial, W., Spitsen, P., Duffy, P., Beiter, P., Shields, M., Hernando, D. M., Hammond, R., Marquis, M., King, J., & Sriharan, S. (2023). Offshore wind market report: 2023 edition. United States. https://doi.org/10.2172/1997466
  14. Nam, B. W., Sung, H. G., Kim, Y. S., & Hong, S. Y. (2008). Experiments second-order computations for run-up around a truncated cylinder in waves. Journal of Ships & Ocean Engineering, 46, 43-52.
  15. Omer Jr, G. C., & Hall, H. H. (1949). The scattering of a tsunami by a cylindrical island. Bulletin of the Seismological Society of America, 39(4), 257-260. https://doi.org/10.1785/BSSA0390040257
  16. Peric, R., & Abdel-Maksoud, M. (2018). Analytical prediction of reflection coefficients for wave absorbing layers in flow simulations of regular free-surface waves. Ocean Engineering, 147, 132-147. https://doi.org/10.1016/j.oceaneng.2017.10.009
  17. Roache, P. J. (1994). Perspective: A method for uniform reporting of grid refinement studies. Journal of Fluids Engineering, 116(3), 405-413. https://doi.org/10.1115/1.2910291
  18. Robertson, A., Jonkman, J., Masciola, M., Song, H., Goupee, A., Coulling, A., & Luan, C. (2014). Definition of the semi-submersible floating system for phase II of OC4 (No. NREL/TP-5000-60601). National Renewable Energy Lab. (NREL), Golden, CO.
  19. Roddier, D., Cermelli, C., Aubault, A., & Weinstein, A. (2010). WindFloat: A floating foundation for offshore wind turbines. Journal of renewable and sustainable energy, 2(3), 033104. https://doi.org/10.1063/1.3435339
  20. Swan, C., Masterton, S., Sheikh, R., & Cavalletti, A. (2005, January). Wave forcing and wave scattering from a vertical surface-piercing cylinder. Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering (Vol. 41960, pp. 571-580). https://doi.org/10.1115/OMAE2005-67158
  21. Wang, Q., Fang, Y., & Liu, H. (2021). An experimental study of run-up and loads on a vertical truncated cylinder in a solitary wave. Ocean Engineering, 219, 108346. https://doi.org/10.1016/j.oceaneng.2020.108346