Numerical simulation of two‐dimensional tsunami runup

References

• Carrier , G. F. and Greenspan , H. P. 1958 . Water waves of finite amplitudes on a sloping beach . J. Fluid Mech. , 4 : 97 – 109 .
   Web of Science ®Google Scholar
• Dunbar , D. S. , LeBlond , P. H. and Murty , T. S. 1991 . Evaluation of tsunami amplitudes for the Pacific coast of Canada . Progress in Oceanogr , 15 : 115 – 177 .
   Google Scholar
• Flather , R. A. and Heaps , N. S. 1975 . Tidal computations for Morecambe Bay . Geophys. J. R. Astron. Soc. , 42 : 489 – 517 .
   Google Scholar
• Hebenstreit , G. T. , Gonzalez , F. I. and Morris , A. F. Near‐source tsunami simulation of Valparaiso Harbor, Chile . Proc. Int. Tsunami Symp. Sidney, BC. Edited by: Murty , T. S. and Rapatz , W. J. Inst. Ocean Sciences .
   Google Scholar
• Hibberd , S. and Feregrine , D. H. 1979 . Sur and run‐up on a beach: A uniform bore . J. Fluid Mech. , 95 : 323 – 345 .
   Web of Science ®Google Scholar
• Johns , B. 1982 . Numerical integration of the shallow water equations over a sloping beach . Int. J. Numerical Methods Fluids , 2 : 253 – 261 .
   Google Scholar
• Kim , S. K. and Shimazu , Y. 1982 . Simulation of tsunami runup and estimate of tsunami disaster by the expected great earthquake in the Tokai District, Central Japan . J. Earth Sci. Nagoya Univ. , 30 : 1 – 30 .
   Google Scholar
• Kowalik , Z. and Bang , I. 1987 . Numerical computation of tsunami run‐up by the upstream derivative method . Sci. Tsunami Hazards Int. J. Tsunami Soc. , 5 ( 2 ) : 77 – 84 .
   Google Scholar
• L'atkher , V. M. , Militev , A. N. and Shkol'nikov , S. Ya. 1978 . “ Calculation of the tsunami runup ” . In Tsunami research in the open ocean , 48 – 55 . Moscow : Nauka .
   Google Scholar
• Lewis , C. H. III and Adams , W. M. 1983 . Development of a tsunami‐flooding model having versatile formulation of moving boundary conditions . The Tsunami Society Monograph Series ,
   Google Scholar
• Mader , L. Ch. 1988 . Numerical modeling of water waves , Berkeley : University of California Press .
   Google Scholar
• Marchuk , A. G. , Chubarov , L. B. and Shokin , Iu. I. 1985 . Numerical modeling of tsunami waves , Novosibirsk : Id. Nauka, English translation, Los Alamos . 1983
   Google Scholar
• Matsutomi , H. 1983 . “ Numerical analysis of the run‐up of tsunamis on dry bed ” . In Tsunamis: Their science and engineering , Edited by: Iida , K. and Iwasaki , T. 479 – 493 . Tokyo : Terra Sci. .
   Google Scholar
• Reid , R. O. and Bodine , B. R. 1968 . Numerical model for storm surges in Galveston Bay . J. Waterway Harbour Div. , 94 ( WWI ) : 33 – 57 .
   Google Scholar
• Shapiro , R. 1970 . Smoothing, filtering and boundary effects . Rev. Geophys. Space Phys. , 8 : 359 – 387 .
   Web of Science ®Google Scholar
• Sielecki , A. and Wurtele , M. G. 1970 . The numerical integration of the nonlinear shallow‐water equations with sloping boundaries . J. Comput. Phys. , 6 : 219 – 236 .
   Google Scholar
• Takeda , H. 1984 . Numerical simulation of run‐up by the variable transformation . J. Oceanogr. Soc. Japan , 40 : 271 – 278 .
   Google Scholar
• Thacker , W. C. 1981 . Some exact solutions to the nonlinear shallow‐water wave equations . J. Fluid Mech. , 107 : 499 – 508 .
   Web of Science ®Google Scholar
• White , W. R. H. 1966 . The Alaska earthquake: Its effect in Canada . Can. Geophys. J. , 72 ( 6 )
   Google Scholar
• Yeh , H. Tsunami action on a beach: summary . Proc. International Tsunami Symp., Vancouver, BC . Edited by: Bernard , E. N. pp. 206 – 211 . Seattle : NOAA/PMEL .
   Google Scholar