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Performance study of different numerical methods for modeling the vertical water entry of a wedge

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Abstract

Slamming is a very important phenomenon that happens in marine structures that are working in difficult circumstances. The design life of Wave Energy Converters, floating offshore wind turbines and other marine constructions is dramatically shortened by slamming, because of its ability to damage offshore structures. Since many offshore structures have wedge-shaped bottoms, it is important to know the response of these structures to slamming loads for better designs. Maximum slamming loads are experienced by the offshore structures during vertical water entry. This paper studies the fluid–structure interaction of a 2D wedge during vertical water entry. Though various numerical methods and analytical formulations exist for modeling the water entry of wedge-shaped objects, there is no like-to-like comparison between the methods. This paper compares the splash zone and loads on the wedge due to FSI using three numerical methods viz., the Arbitrary Lagrangian Eulerian (ALE) method, the Finite Volume Method (FVM), and Smoothed Particle Hydrodynamics (SPH). Conventional methods like FVM and ALE need grid generation, while SPH is a relatively novel method that uses lagrangian particles to represent the domain. As SPH reduces the modeling time and handles continuously evolving boundaries, this paper also throws light on the performance of SPH in modeling dynamic phenomena like slamming. ALE and SPH methods are solved using explicit time stepping, while FVM employs implicit time stepping. All the numerical models captured the fluid velocity fields well, excluding SPH. Other parameters, like pressures, are comparable to the analytical values besides the fluid velocity field values.

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References

  1. Harlow, F.H.: A machine calculation method for hydrodynamic problems. Los Alamos Scientific Laboratory report, LAMS-1956 (1955)

  2. Zhao, R., Faltinsen, O.: Water entry of two-dimensional bodies. J. Fluid Mech. 246, 593–612 (1993)

    Article  Google Scholar 

  3. Chen, H.-C., Yu, K.: CFD simulations of wave-current-body interactions including greenwater and wet deck slamming. Comput. Fluids 38, 970–980 (2009)

    Article  Google Scholar 

  4. Kleefsman, K.M.T., Fekken, G., Veldman, A.E.P., Iwanowski, B., Buchner, B.: A volume-of-fluid based simulation method for wave impact problems. J. Comput. Phys. 206, 363–393 (2005)

    Article  MathSciNet  Google Scholar 

  5. Degroote, J., Souto-Iglesias, A., Van Paepegem, W., Annerel, S., Bruggeman, P., Vierendeels, J.: Partitioned simulation of the interaction between an elastic structure and free surface flow. Comput. Methods Appl. Mech. Eng. 199, 2085–2098 (2010)

    Article  MathSciNet  Google Scholar 

  6. Aquelet, N., Souli, M., Olovsson, L.: Euler-Lagrange coupling with damping effects: application to slamming problems. Comput. Methods Appl. Mech. Eng. 195, 110–132 (2006)

    Article  MathSciNet  Google Scholar 

  7. Aquelet, N., Souli, M.: Damping effect in fluid-structure interaction: application to slamming problem. In: ASME 2003 Pressure Vessels and Piping Conference: American Society of Mechanical Engineers, pp. 233–42 (2003)

  8. Stenius, I., Rosén, A., Kuttenkeuler, J.: Explicit FE-modeling of fluid-structure interaction in hull-water impacts. Int. Shipbuild. Prog. 53, 103–121 (2006)

    Google Scholar 

  9. Stenius, I., Rosén, A., Kuttenkeuler, J.: Hydroelastic interaction in panel-water impacts of high-speed craft. Ocean Eng. 38, 371–381 (2011)

    Article  Google Scholar 

  10. Monaghan, J.J.: Smoothed particle hydrodynamics. Rep. Prog. Phys. 68, 1703–1759 (2005)

    Article  MathSciNet  Google Scholar 

  11. Ferrari, A.: SPH simulation of free surface flow over a sharp-crested weir. Adv. Water Resour. 33, 270–276 (2010)

    Article  Google Scholar 

  12. Barreiro, A., Crespo, A.J.C., Domínguez, J.M., Gómez-Gesteira, M.: Smoothed particle hydrodynamics for coastal engineering problems. Comput. Struct. 120, 96–106 (2013)

    Article  Google Scholar 

  13. Oger, G., Doring, M., Alessandrini, B., Ferrant, P.: Two-dimensional SPH simulations of wedge water entries. J. Comput. Phys. 213, 803–822 (2006)

    Article  MathSciNet  Google Scholar 

  14. Shao, S.: Incompressible SPH simulation of water entry of a free-falling object. Int. J. Numer. Methods Fluids 59, 91–115 (2009)

    Article  MathSciNet  Google Scholar 

  15. Francesconi, E., Anghileri, M.A.: Numerical-experimental investigation on crash behaviour of skin panels during a water impact comparing ALE and SPH approaches. In: 7th European LS-DYNA Conference, Salzburg, Austria (2009)

  16. Von Karman, T.: The impact on seaplane floats during landing. NACA-TN-316 (1929)

  17. Wagner, H.: Uber stoß und gleitvorgange an der oberflache von flussigkeit. Zeitschrift fur Angewandte Mathematik und Mechanik 12, 193–215 (1932)

    Article  Google Scholar 

  18. Watanabe, Y.: On properties of hydrodynamic impact on ship bottom whipping. J Soc Nav Archit West Japan 32 (1966)

  19. Mei, X., Liu, Y., Yue Dick, K.P.: On the water impact of general two-dimensional sections. Appl. Ocean Res. 21, 1–15 (1999)

    Article  Google Scholar 

  20. Cointe, R., Fontaine, E., Molin, B., Scolan, Y.M.: On energy arguments applied to the hydrodynamic impact force. J. Eng. Math. 48, 305–319 (2004)

    Article  MathSciNet  Google Scholar 

  21. Longuet-Higgins, M., Cokelet, E.: The deformation of steep surface waves in water. I. a numerical method of computation. Proc. R. Soc. Lond. A 350, 1–26 (1976)

    Article  Google Scholar 

  22. Battistin, D., Iafrati, A.: Hydrodynamic loads during water entry of two-dimensional and axisymmetric bodies. J. Fluids Struct. 17, 643–664 (2003)

    Article  Google Scholar 

  23. Iafrati, A., Korobkin, A.A.: Initial stage of flat plate impact onto liquid free surface. Phys. Fluids 16, 2214–2227 (2004)

    Article  Google Scholar 

  24. Patankar, S.V.: Numerical Heat Transfer and Fluid Flow. CRC Press (1980)

    Google Scholar 

  25. Benson, D.J., Hallquist, J.O.: A simple rigid body algorithm for structural dynamics programs. Int. J. Numer. Meth. Eng. 22, 723–749 (1986)

    Article  Google Scholar 

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Vepa, K.S., Seetharamaiah, N. Performance study of different numerical methods for modeling the vertical water entry of a wedge. Int J Interact Des Manuf (2024). https://doi.org/10.1007/s12008-024-01837-8

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