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Original Articles

An Adequate Dispersive Wave Scheme for Tsunami Simulation

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Pages 1450003-1-1450003-32 | Received 06 Jul 2013, Accepted 27 Nov 2013, Published online: 10 Jan 2018

References

  • Amante, C. & Eakins, B. W. [2009] “ETOPOl 1 Arc-minute global relief model: Procedures, data sources and analysis,” NOAA Technical Memorandum NESDIS NGDC-24, P- 19.
  • Berkhoff, J. C. W. , Booy, N. & Radder, A. C. [1982] “Verification of numerical wave propagation models for simple harmonic linear water waves,” Coastal Eng. 6, 255–279.
  • British Oceanographic Data Centre. [2009] “The Centenary Edition of the GEBCO Digital Atlas,” (DVD-ROM).
  • Carrier, G. F. [1991] “Tsunami propagation from a finite source,” in Proc. 2nd UJNR Tsunami Workshop, NGDC, Hawaii , pp. 101–115.
  • Cho, Y.-S. & Yoon, S. B. [1998] “A modified leap-frog scheme for linear shallow-water equations,” Coastal Eng. J. 31(2), 245–263.
  • Dunbar, D. , Leblond, P. & Murty, T. S. [1991] “Evaluation of tsunami amplitudes for the Pacific Coast of Canada,” Prog. Oceanog. 26, 115–177.
  • Fukasawa, M. , Iwase, H. , Fujima, K. , Aono, T. & Goto, C. [2002] “A study on simulation method of run-up disintegrated soliton wave train,” Proc. Coastal Eng. JSCE 49, 271–275 (in Japanese).
  • Goto, C. , Imamura, F. & Shuto, N. [1988] “Study on numerical simulation of the transoceanic propagation of tsunami, Part 1: Governing equation and mesh length,” ZISIN 2, SSJ 41(4), 515–526 (in Japanese).
  • Goto, C. [2003] “Truncation error in numerical simulation for linear dispersive wave theory by two-step mixed finite difference method,” Rep. Tsunami Eng. Res., DCRC, Tohoku Univ. 20, 13–22 (in Japanese).
  • Homma, M. , Shigihara, Y. , Fujima, K. , Matsuura, K. , Saito, K. & Motohashi, M. [2005] “Numerical simulation of the Tonankai and Nankai earthquake tsunami in ogasawara Islands,” Proc. Coastal Eng. JSCE 52, 261–265 (in Japanese).
  • Horrillo, J. , Kowalik, Z. L. Shigihara, Y. [2006] “Wave dispersion study in the Indian Ocean tsunami of December 26, 2004,” Marine Geodesy 29(1), 149–166.
  • Imamura, F. & Goto, C. [1988] “Truncation error in numerical tsunami simulation by the finite difference method,” Coastal Eng. J. 31(2), 245–263.
  • Imamura, F. , Shuto, N. & Goto, C. [1988] “Numerical simulation of the transoceanic propagation of tsunamis,” in Proc. 6th Congress Asian Pacific Regional Division, IAHR , pp. 257–264.
  • IUGG/IOC TIME Project [1997] “Numerical method of tsunami simulation with the leap-frog scheme,” Int. Oceanogr. Commission Manuals Guides 35, 126.
  • Iwase, H. , Mikami, T. & Goto, C. [1998] “Practical tsunami numerical simulation method by use of nonlinear dispersive long wave theory,” J. Hydrau. Coastal Environ. Eng. JSCE 600/11-44, 119–124 (in Japanese).
  • Iwase, H. , Goto, C. , Fujima, K. & Iida, K. [2002a] “The dispersion effect on the propagation of tsunami in deep sea region,” J. Hydrau. Coastal Environ. Eng. JSCE 705/11-59, 104–114 (in Japanese).
  • Iwase, H. , Mikami T. , Goto, C. & Fujima, K. [2002b] “A comparative study of nonlinear dispersive long wave equations for numerical simulation of tsunami,” J. Hydra. Coastal Environ. Eng., JSCE 705/11-59, 129–138 (in Japanese).
  • Iwase, H. & Imamura, F. [2003] “A new tsunami numerical simulation with Boussinesq-type equations applied for the 1983 Nihonkai-Chubu earthquake tsunami,” in Proc. 2nd International Conf. on Asian and Pacific Coasts 2003, pp. 1–13.
  • Kim, D.-H. , Lynett, P. & Socolofsky, S. [2009] “A depth-integrated model for weakly dispersive, turbulent, and rotational fluid flows,” Ocean Model. 27 (3–4), 198–214.
  • Kowalik, Z. & Murty, T. [1993] “Numerical simulation of two-dimensional tsunami runup,” Marine Geodesy 16(2), 87–100.
  • Kowalik, Z. [2003] “Basic relations between tsunamis calculation and their physics-II,” Sci. Tsunami Hazards 21(3), 154–173.
  • Kowalik, Z. , Knight, W. , Logan, T. & Whitmore, P. [2005] “Numerical modeling of the grobal tsunami: Indonesia tsunami of 26 December 2004,” Sci. Tsunami Hazards 23(1), 40–56.
  • Kulikov, E. [2006] “Dispersion of the Sumatra Tsunami waves in the Indian Ocean detected by satellite altimetry,” Russ. J. Earth Sci. 8(4), 1–5.
  • Liu, P. L.-F. , Woo, S. B. & Cho, Y. S. [1998] “Computer programs for tsunami propagation and inundation,” Technical Report, Cornell University.
  • Madsen, P. A. & Sørensen, O. R. [1991] “A new form of the Boussinesq equations with improved linear dispersion characteristics,” Coastal Eng. 15, 371–388.
  • Madsen, P. A. & Sørensen, O. R. [1992] “A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 2. A slowly-varying bathymetry,” Coastal Eng. 18, 183–204.
  • Matsuyama, M. , Ikeno, M. , Sakakiyama, T. & Takeda, T. [2007] “A study of tsunami wave fission in an undistorted experiment,” Pure Appl. Geophys. 164, 617–631.
  • Ministry of Land, Infrastructure, Transport and Tourism [2012] “Guide to determining the potential tsunami inundation,” Available at: http://www.milt.go.jp/river/shishin.guideline/.
  • Ortiz, M. , Gómez-Reyes, E. & Vélez-Muñoz, H. S. [2001] “A fast preliminary estimation model for transoceanic tsunami propagation,” in ITS 2000 Proc. , pp. 723–739.
  • Saito, T. , Satake, K. & Furumura, T. [2010] “Tsunami waveform inversion including dispersive waves: The 2004 earthquake off Kii Peninsula, Japan,” J. Geophys. Res. 115, B06303, doi:10.1029/2009JB006884.
  • Saito, T. , Ito, Y. , Inazu, D. & Hino, R. [2011] “Tsunami source of the 2011 Tohoku-Oki earthquake, Japan: Inversion analysis based on dispersive tsunami simulations,” Geophys. Res. Lett. 38, L00G19, doi:10.1029/2011GL049089.
  • Sato, S. [1996] “Numerical simulation of 1993 southwest Hokkaido earthquake tsunami around Okushiri Island,” J. Waterway Port Coastal Ocean Eng. 122(5), 209–215.
  • Sayama, J. , Imamura, F. , Goto, C. & Shuto, N. [1987] “Numerical simulation method of tsunami in deep sea area with higher order accuracy,” Proc. 34th Japanese Conf. Coastal Eng., JSCE 34, 177–181 (in Japanese).
  • Shigihara, Y. & Imamura, F. [2003] “Proposal of Quasi-Variable Grid System using a numerical dispersion for a tsunami simulation,” Proc. Coastal Eng. JSCE 50, 6–10 (in Japanese).
  • Shigihara, Y. & Imamura, F. [2004] “Applicability of non-linear dispersive wave theory on the numerical simulation of tsunami and proposal of a new numerical model,” Ann. J. Coastal Eng. JSCE 51, 246–250 (in Japanese).
  • Shuto, N. [1985] “Nihonkai-Chuubu earthquake tsunami on the north Akita coast,” Coastal Eng. Jpn. JSCE 28, 255–264.
  • Shuto, N. , Goto, C. & Imamura, F. [1990] “Numerical simulation as a means of warning for near-field tsunamis,” Coastal Eng. J. 33(2), 173–193.
  • Titov, V. V. & Synolakis, C. E. [1998]. “Numerical modeling of tidal wave runup,” J. Waterw. Port Coastal Ocean Eng. 124(4), 157–171.
  • Yamazaki, Y. , Kowalik, Z. & Cheung, K. F. [2008] “Depth-integrated, non-hydrostatic model for wave breaking and run-up,” Int. J. Numer. Methods Fluids 61, 473–497.
  • Yoon, S. B. [2002] “Propagation of distant tsunami over slowly varying topography,” J. Geophys. Res. AGU 107(C10), 3140.
  • Zaman, H. , Hirayama, K. & Hiraishi, T. [2001] “An extended boussinesq model and its application to long period waves,” in Proc. 11th Int. Offshore and Polar Eng. Conf., ISOPE, Stavanger, Norway, pp. 607–614.

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