Abstract
A mathematical model is derived to describe the generation and propagation of water waves by a submarine landslide in two horizontal dimensions (2HD). The model consists of a depth-integrated continuity equation and a vector momentum equation, in which the ground movement is the forcing function. These equations include high nonlinear, but weak frequency dispersion effects. The model is capable of describing wave propagation from relatively deep water to shallow water. These Boussinesq-type equations are coupled with a moving boundary algorithm, allowing for the prediction of wave runup along the shoreline. The numerical model is able to accurately simulate the tsunamis generated by subaerial slides, as is shown by comparison with an analytical solution. A variety of 2HD slide setups will be run, including both submerged and subaerial slides. The maximum vertical thickness of the slide, as well as the length to width ratio are varied for a number of different slopes, and the results will be discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Chen, Y., & Liu, P. L.-F. 1995. Modified Boussinesq Equations and Associated Parabolic Model for Water Wave Propagation. J. Fluid Mech., 228:351–381.
Grilli, S.T, and Watts, P. 1999. Modeling of Waves Generated by a Moving Submerged Body. Applications to Underwater Landslides. Engng. Analysis with Boundary Elements, 23:645–656.
Grilli, S.T, Vogelmann, S., and Watts, P. 2002. Development of a 3D numerical wave tank for modelling tsunami generation by underwater landslides. Engng. Analysis with Boundary Elements, 26: 301–313
Kennedy, A. B., Chen, Q., Kirby, J. T., and Dalrymple, R. A. 2000. Boussinesq modeling of wave transformation, breaking, andrunup. Part I: 1D. Journal of Waterway, Port, Coastal and Ocean Engng. 126(l):39–47.
Liu, P. L.-F., 1994. Model Equations for Wave Propagations From Deep to Shallow Water, in Advances in Coastal and Ocean Engineering, Vol. 1 (ed. P.L.-F. Liu), 125–158.
Liu, P. L.-F. & Earickson, J. 1983 A Numerical Model for Tsunami Generation and Propagation. in Tsunamis: Their Science and Engineering (eds. J. Iida and T. Iwasaki), Terra Science Pub. Co., 227–240.
Liu, P. L.-F., Lynett, P., & Synolakis, C.E. 2002. Analytical solutions for forced long waves on a sloping beach. J. Fluid Mech., submitted.
Lynett, P. and Liu, P. L.-F. 2002. A numerical study of submarine landslide generated waves and runup. Royal Society of London A in press.
Lynett, P., Wu, T.-R., and Liu, P. L.-F. 2002. Modeling Wave Runup with Depth-Integrated Equations. Coast. Engrg. 46(2): 89–107.
Madsen, P. A., and Sorensen, O. R., 1992. A new form of the Boussinesq equations with improved linear dispersion characteristics. Part II: A slowly varying bathymetry. Coast. Engng., 18:183–204.
Madsen, P.A. & Schaffer, H.A., 1998. Higher-Order Boussinesq-type Equations for Surface Gravity Waves: Derivation and Analysis. Phil. Trans. R. Soc. Lond. A, 356:2123–3184.
Nwogu, O., 1993 Alternative Form of Boussinesq Equations for Nearshore Wave Propagation. J. Wtrwy, Port, Coast and Ocean Engrg., ASCE, 119(6):618–638.
Peregrine, D. H., 1967. Long Waves on a Beach. J. Fluid Mech. 27:815–827
Press, W.H., Flannery, B.P., & Teukolsky, S.A. 1989. Numerical Recipes. Cambridge University Press. 569–572.
Watts, P. 1997. Water Waves Generated by Underwater Landslides, Ph. D. Thesis, California Institute of Technology.
Wei, G. & Kirby, J. T. 1995. A Time-Dependent Numerical Code for Extended Boussinesq Equations. Journal of Waterway, Port, Coastal and Ocean Engng., 120:251–261.
Wei, G., Kirby, J.T., Grilli, S.T., & Subramanya, R., 1995. A Fully Nonlinear Boussinesq Model for Surface Waves. Part 1. Highly Nonlinear Unsteady Waves. J. Fluid Mech. 294:71–92.
Zelt, J. A. 1991. The runup of nonbreaking and breaking solitary waves. Coast. Engrg., 15:205–246.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Lynett, P., Liu, P.LF., Synolakis, C.E. (2003). Numerical Modeling of Tsunami Generation by Subaerial and Submerged Landslides. In: Locat, J., Mienert, J., Boisvert, L. (eds) Submarine Mass Movements and Their Consequences. Advances in Natural and Technological Hazards Research, vol 19. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0093-2_9
Download citation
DOI: https://doi.org/10.1007/978-94-010-0093-2_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3973-4
Online ISBN: 978-94-010-0093-2
eBook Packages: Springer Book Archive