Skip to main content

Numerical Simulations of the 1960 Chilean Tsunami Propagation and Inundation at Hilo, Hawaii

  • Chapter

Part of the book series: Advances in Natural and Technological Hazards Research ((NTHR,volume 4))

Abstract

An explicit staggered leap-frog finite difference model is used to simulate the transoceanic propagation of the 1960 Chilean tsunami and the associated inundation at Hilo, Hawaii. In computing the transoceanic tsunami propagation, linear shallow water equations with Coriolis force are solved. However, spatial grid sizes and time step sizes are chosen in such a way that the numerical dispersion introduced by the leap-frog finite difference scheme is almost the same as the frequency dispersion in the linear Boussinesq equations. Because the grid size and the time step depend on the local depth, a nested multiple-grid system is developed for the numerical model.

In the inundation model, nonlinear shallow water equations including bottom friction are solved. A moving boundary treatment is developed to track the shoreline movement. The maximum inundation area at Hilo Bay, Hawaii is generated and compared with the observed record. Good agreement is observed.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Abbott, M. B., McCowan, A. and Warren, I. R. (1981) “Numerical modeling of free-surface flows that are two-dimensional in plan,” in H. B. Fisher (ed.) Transport Models for Inland and Coastal Waters, Academic Press, New York, pp. 222 – 283.

    Google Scholar 

  • Cho, Y.-S. (1995) “Numerical Simulations of Tsunami Propagation and Run-up,” Ph.D. Thesis, School of Civil and Environmental Engineering, Cornell University.

    Google Scholar 

  • Imamura, F. and Goto, C. (1988) “Truncation error in numerical tsunami simulation by the finite difference method,” Coastal Eng. in Japan, 31, pp. 245 – 263.

    Google Scholar 

  • Imamura, F., Shuto, N. and Goto, C. (1988) “Numerical simulations of the transoceanic propagation of tsunamis,” Proc. of 6th Congress Asian and Pacific Regional Division, IAHR, Japan, pp. 265 – 272.

    Google Scholar 

  • Kanamori, H. and Ciper, J. J. (1974) “Focal process of the great Chilean earthquake, May 22, 1960,” Phy. Earth Planet, 9, pp. 128 – 136.

    Article  Google Scholar 

  • Kanamori, H. and Anderson, K. L. (1975) “Amplitude of the Earth’s free oscillations and long-period characteristics of the earthquake source,” J. Geophy. Res., 80, pp. 1, 075 – 1, 078.

    Google Scholar 

  • Kowalik, Z. (1993) “Solution of the linear shallow water equations by the fourth-order leapfrog scheme,” J. Geophy. Res., 98, pp. 10, 205 – 10, 209.

    Google Scholar 

  • Lapidus, L. and Pinder, G. F. (1982) Numerical Solution of Partial Differential Equations in Science and Engineering, John Wiley & Sons, New York.

    Google Scholar 

  • Liu, P. L.-F., Cho, Y.-S., Seo, S. N. and Yoon, S. B. (1994) “Numerical Simulation of Tsunami Propagation and Inundation with Application to Hilo, Hawaii,” Technical Report, School of Civil and Environmental Engineering, Cornell University.

    Google Scholar 

  • Mader, C. L. and Curtis, G. D. (1991) “Numerical Modeling of Tsunami Inundation of Hilo Harbor,” JIMAR Contribution No. 91–251, University of Hawaii.

    Google Scholar 

  • Mansinha, L. and Smylie, D. E. (1971) “The displacement fields of inclined faults,” Bull. of the Seismological Soc. of America, 61, pp. 1, 433 – 1, 440.

    Google Scholar 

  • Mei, C. C. (1989) The Applied Dynamics of Ocean Surface Waves, World Scientific Publishing Co., Singapore.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Liu, P.L.F., Cho, Y.S., Yoon, S.B., Seo, S.N. (1995). Numerical Simulations of the 1960 Chilean Tsunami Propagation and Inundation at Hilo, Hawaii. In: Tsuchiya, Y., Shuto, N. (eds) Tsunami: Progress in Prediction, Disaster Prevention and Warning. Advances in Natural and Technological Hazards Research, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8565-1_7

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-8565-1_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4553-9

  • Online ISBN: 978-94-015-8565-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics