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LAGRANGIAN PARTICLE METHOD FOR SIMULATION OF WAVE OVERTOPPING ON A VERTICAL SEAWALL

HITOSHI GOTOH

Department of Urban and Environmental Engineering, Kyoto University, Yoshida Hon-machi, Sakyo-ku, Kyoto 606-8501, Japan

Corresponding author.

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HIROYUKI IKARI

School of Urban and Environmental Engineering, Kyoto University, Yoshida Hon-machi, Sakyo-ku, Kyoto 606-8501, Japan

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TETSU MEMITA

Technical Research Center, The Kansai Electric Power Company Incorporation, Hyogo, 561-0974, Japan

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, and

TETSUO SAKAI

Department of Urban and Environmental Engineering, Kyoto University, Yoshida Hon-machi, Sakyo-ku, Kyoto 606-8501, Japan

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https://doi.org/10.1142/S0578563405001239Cited by:72 (Source: Crossref)

Abstract

A particle method, or a gridless Lagrangian method, shows the high performance in describing the complicated behavior of water surface with the fragmentation and coalescence of water. In this paper, a wave overtopping process on a vertical seawall is numerically simulated on the basis of the Navier–Stokes equation with surface-tension term, which is discretized by the MPS (moving particle semi-implicit) method belonging to the category of the particle method. An improvement of the listing process of neighboring particle is introduced to reduce the computational load. Wave overtopping process in the experiments are well reproduced by the MPS method. The predictions of the MPS method of the overtopping volume agree well with the experimental results.

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References

Batina, J. T. [1993] "A Gridless Euler/Navier–Stokes solution algorithm for complex-aircraft applications," AIAA, Paper-93-0333 . Google Scholar
R. K.-C. Chan and R. L. Street, J. Comput. Phys. 6, 68 (1970). Crossref, Google Scholar
Y. Goda, Rep. Port Harbour Res. Inst. 9(4), 3 (1970). Google Scholar
M. Gómez-Gesteira and R. A. Dalrymple, J. Wtrwy. Port Coast. Oc. Eng., ASCE 130(2), 63 (2004). Crossref, Web of Science, Google Scholar
H. Gotoh and T. Sakai, Coast. Eng. J. 41(3–4), 303 (1999). Link, Google Scholar
H. Gotoh, T. Shibahara and T. Sakai, Comp. Fluid Dyn. J. 9(4), 339 (2001). Web of Science, Google Scholar
H. Gotoh, S. D. Shao and T. Memita, Coast. Eng. J. 46(1), 1 (2004). Web of Science, Google Scholar
F. H. Harlow and J. E. Welch, Phys. Fluids 8, 2182 (1965). Crossref, Web of Science, Google Scholar
Hayashi, M., Gotoh, H., Memita, T. and Sakai, T. [2000] "Gridless numerical analysis of wave breaking and overtopping at upright seawall," Proc. ICCE, Sydney, Australia, pp. 2100–2113 . Google Scholar
H. Hirakuchi, R. Kajima and T. Kawaguchi, Coast. Eng. Japan 33(1), 11 (1990). Crossref, Web of Science, Google Scholar
C. W. Hirt, J. L. Cook and T. D. Butler, J. Comput. Phys. 5, 103 (1970). Crossref, Web of Science, Google Scholar
C. W. Hirt, A. A. Amsden and J. L. Cook, J. Comput. Phys. 14, 227 (1974). Crossref, Web of Science, Google Scholar
C. W. Hirt and B. D. Nichols, J. Comput. Phys. 39, 201 (1981). Crossref, Web of Science, Google Scholar
Ikari, H., Gotoh, H., Hashimoto, M. and Sakai, T. [2004] "Refined surface tension model for Lagrangian simulation of wave breaking," Proc. ICCE, Lisbon, Portugal, Vol. 1, pp. 331–343 . Google Scholar
M. Isobeet al., Proc. Civil Eng. Ocean, JSCE 15, 321 (1999). Crossref, Google Scholar
K. Kawasaki, Coast. Eng. J. 41(3–4), 201 (1999). Link, Web of Science, Google Scholar
S. Koshizuka, H. Tamako and Y. Oka, Comp. Fluid Dyn. J. 4, 29 (1995). Web of Science, Google Scholar
S. Koshizuka and Y. Oka, Nuclear Science and Engineering 123, 421 (1996). Crossref, Web of Science, Google Scholar
S. Koshizuka, A. Nobe and Y. Oka, Int. J. Numer. Meth. Fluids 26, 751 (1998). Crossref, Web of Science, Google Scholar
P. Z. Lin and L.-F. Liu, J. Fluid Mech. 359, 239 (1998). Crossref, Web of Science, Google Scholar
L.-F. Liuet al., J. Wtrwy. Port Coast. Oc. Eng., ASCE 125(6), 322 (1999). Crossref, Web of Science, Google Scholar
J. J. Monaghan, Annu. Rev. Astron. Astrophys. 30, 543 (1992). Crossref, Web of Science, Google Scholar
J. J. Monaghan and A. Kos, J. Wtrwy. Port Coast. Oc. Eng., ASCE 125(3), 145 (1999). Crossref, Web of Science, Google Scholar
Nadaoka, K., Nihei, Y. and Yagi, H. [1995] "A new framework for LES modeling of solid-liquid phase turbulent flow — A mixed Euler-Lagrangian approach," Proc. 2nd Int. Conf. Multiphase Flow, '95-KYOTO, Vol. 2, pp. 3-71–3-74 . Google Scholar
Y. Nihei and K. Nadaoka, Coast. Eng. J. 41(3–4), 327 (1999). Link, Google Scholar
Sakai, T., Mizutani, T., Tanaka, H. and Tada, Y. [1986] "Vortex formation in plunging breaker," Proc. 20th ICCE, pp. 711–723 . Google Scholar
H. Sanukiet al., Proc. Coastal Eng., JSCE 48, 736 (2001). Google Scholar
S. D. Shao and H. Gotoh, Coast. Eng. J. 46(2), 171 (2004). Link, Web of Science, Google Scholar
van der Meer, J. W., Petit, H. A. H., van den Bosch, P., Klopman, G. and Broekens, R. D. [1992] "Numerical simulation of wave motion on and in coastal structures," Proc. 23th ICCE, pp. 1772–1784 . Google Scholar
van Gent, M. R. A., Tonjes, P., Petit, H. A. H. and van den Bosch, P. [1994] "Wave action on and in permeable structures," Proc. 24th ICCE, pp. 1739–1753 . Google Scholar
Y. Watanabe and H. Saeki, Coast. Eng. J. 41(3–4), 208 (1999). Google Scholar
Wu, N. T., Oumeraci, H. and Partenscky, H.-W. [1994] "Numerical modelling of breaking wave impacts on a vertical wall," Proc. 24th ICCE, pp. 1672–1686 . Google Scholar
T. Yabe and T. Aoki, Comput. Phys. Commun. 66, 219 (1991). Crossref, Web of Science, Google Scholar
T. Yabe and P. Wang, J. Phys. Soc. Japan 60(7), 2105 (1991). Crossref, Google Scholar
T. Yasudaet al., Coast. Eng. J. 41(3–4), 269 (1999). Link, Web of Science, Google Scholar
H. Y. Yoon, S. Koshizuka and Y. Oka, Int. J. Numer. Methods Fluids 30, 407 (1999). Crossref, Web of Science, Google Scholar