HR: 0800h
AN: U11B-0832    [Abstracts]
TI: Early-Time Modelling of Tsunami Generation by Underwater Explosions
AU: * Castro, C E
EM: cristobal.castro@ing.unitn.it
AF: University of Trento, Laboratory of Applied Mathematics, Via Mesiano 77, TRento, 38050 Italy
AU: Toro, E F
EM: toro@unitn.it
AF: University of Trento, Laboratory of Applied Mathematics, Via Mesiano 77, TRento, 38050 Italy
AB: There are three distinct facets in the modelling of tsunamis waves: generation, propagation and inundation. We adopt a hybrid approach whereby for a each facet we develop a module consisting of a mathematical model and a numerical method. For the propagation and inundation facets we use the time-dependent non-linear Shallow Water as the mathematical model and Discontinuous Galerkin as the numerical method. This paper concerns the generation facet, where we assume that the free surface wave is generated by an underwater explosion. e.g. submerged volcanic eruption, adopting a two-phase two-dimensional model. Both phases are considered compressible, coupling two Euler systems, governed by non-ideal equations of states. The model resolves the free surface wave providing the initial condition for the wave propagation facet. Numerical examples are presented. REFERENCES:

1. C. E. Castro, E. F. Toro, `A Riemann Solver and Upwind Methods for a Two-Phase Flow Model in Non-Conservative Form', Int. J. Numer. Meth. Fluids (in press).
2. E.F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics, second ed., Springer, 1999.
3. E.F. Toro, Shock-Capturing Methods for Free-Surface Shallow Flows, Wiley, 2001.
4. B.L. Méhauté, S. Wang, Water Waves Generated by Underwater Explosion, Advanced Series on Ocean Engineering - Volume 10, World Scientific, 1996.
   DE: 4299 General or miscellaneous
   SC: Union [U]
   MN: Fall Meeting 2005