Proceedings of the 32nd International Conference


three-dimensional numerical model
run-up tsunami
tsunami force

How to Cite

Nakamura, T., Mizutani, N., & Fujima, K. (2011). THREE-DIMENSIONAL NUMERICAL ANALYSIS ON DEFORMATION OF RUN-UP TSUNAMI AND TSUNAMI FORCE ACTING ON SQUARE STRUCTURES. Coastal Engineering Proceedings, 1(32), currents.14.


A three-dimensional two-way coupled fluid-sediment interaction model (FSM) is applied to investigate run-up tsunami deformation and tsunami force acting on square structures on land. The FSM consists of a generalized Navier-Stokes solver (GNS) for multi-phase flow including porous flow, a volume of fluid module (VFM) for air-water interface tracking, and a sediment transport module (STM) for fluid-sediment interface tracking. In the FSM, a two-way coupling procedure is implemented at each time step to connect the GNS with the VFM and the STM. The predictive capability of the FSM is demonstrated through comparison between numerical results and experimental data in terms of water surface elevation, inundation depth, and tsunami force. The process of tsunami run-up in the presence of square structures is investigated in terms of vortex structures. The result shows that the FSM is a useful tool providing detailed information in discussing run-up tsunami deformation and tsunami force.


Amsden, A. A. and F. H. Harlow. 1970. A simplified MAC technique for incompressible fluid flow calculation, Journal of Computational Physics, 6, 322-325.

Asakura, R., K. Iwase, T. Ikeya, M. Takao, T. Kaneto, N. Fujii, and M. Omori. 2000. An experimental study on wave force acting on on-shore structures due to overflowing tsunamis, Proceedings of Coastal Engineering, JSCE, 47, 911-915 (in Japanese).

Brackbill, J. U., B. D. Kothe, and C. Zemach. 1992. A continuum method for modeling surface tension, Journal of Computational Physics, 100, 335-354.

Coastal Development Institute of Technology (CDIT). 2001. Research and Development of Numerical Wave Flume (Super Roller Flume for Computer Aided Design of Maritime Structure), 296 pp. (in Japanese).

Cruz, E., H. Yokoki, M. Isobe, and A. Watanabe. 1993. Nonreflecting boundary condition for nonlinear wave equation, Proceedings of Coastal Engineering, JSCE, 40, 46-50 (in Japanese).

Germano, M., U. Piomelli, P. Moin, and W. H. Cabot. 1991. A dynamic subgrid-scale eddy viscosity model, Physics of Fluids A, 3(7), 1760-1765.

Hinatsu, M. 1992. Numerical simulation of unsteady viscous nonlinear waves using moving grid system fitted on a free surface, Journal of Kansai Society of Naval Architects, 217, 1-11.

Ikeno, M. and H. Tanaka. 2003. Experimental study on impulse force of drift body and tsunami running up to land, Proceedings of Coastal Engineering, JSCE, 50, 721-725 (in Japanese).

Ikeya, T., R. Asakura, N. Fujii, M. Ohmori, T. Iriya, and K. Yanagisawa. 2005. Spatio-temporal variation of tsunami wave pressure acting on a land structure, Annual Journal of Civil Engineering in the Ocean, JSCE, 21, 121-126 (in Japanese).

Jeong, J. and F. Hussain. 1995. On the identification of a vortex, Journal of Fluid Mechanics, 285, 69-94.

Kajishima, T. 1999. Numerical Simulation of Turbulent Flows, Yokendo, Japan, 255 pp. (in Japanese).

Kawasaki, K. 1999. Numerical simulation of breaking and post-breaking wave deformation process around a submerged breakwater, Coastal Engineering Journal, JSCE, 41(3-4), 201-223.

Kunugi, T. 2000. MARS for multiphase calculation, Comp. Fluid Dynamics J., 9(1), IX-563, 1-10.

Miura, H. and S. Kida. 1998. Identification and visualization of low-pressure vortices in turbulence, Nagare Multimedia, JSFM,

Mizutani, N., W. D. McDougal, and A. M. Mostafa. 1996. BEM-FEM combined analysis of nonlinear interaction between wave and submerged breakwater, Proceedings of International Conference on Coastal Engineering, ASCE, 25, 2377-2390.

Morinishi, Y. and O. V. Vasilyev. 2001. A recommended modification to the dynamic two-parameter mixed subgrid scale model for large eddy simulation of wall bounded turbulent flow, Physics of Fluids, 13(11), 3400-3410.

Nakamura, T., K. Shiraishi, A. Usami, N. Mizutani, S. Miyajima, and T. Tomita. 2007. Threedimensional numerical analysis on runup tsunami deformation around containers on an apron and tsunami-induced wave pressure acting on the containers, Proceedings of Asian and Pacific Coasts 2007, 865-879.

Nakamura, T. and S. C. Yim. 2010. A nonlinear three-dimensional coupled fluid-sediment interaction model for large seabed deformation, Journal of Offshore Mechanics and Arctic Engineering, ASME, in press.

Osher, S. and S. R. Chakravarthy. 1984. Very high order accurate TVD schemes, ICASE Report, NASA Langley Research Center, Virginia, 84-44, 64 pp.

Salvetti, M. V. and S. Banerjee. 1995. A priori tests of a new dynamic subgrid-scale model for finite difference large-eddy simulations, Physics of Fluids, 7 (11), 2831-2847.

Simamora, C., Y. Shigihara, and K. Fujima. 2007. Experimental study on tsunami forces acting on structures, Annual Journal of Coastal Engineering, JSCE, 54, 831-835 (in Japanese).

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