Numerical Computation of Tsunami Response for Island Systems

Abstract
A numerical procedure has been developed to determine the tsunami response of an island system and the surrounding underwater topography. The main algorithm in based on the Eulerian equations of motion and continuity which correspond to the classical, linear, long-wave equation in the absence of friction and rotation. It performs an integration of these equations in terms of an explicit scheme based on centered differences. The computations are carried out on a Cartesian grid network and employ a condition of no normal flow at the island shoreline representation as well as an approximate radiation condition for the scattered portion of the wave field at the outer boundaries. The responses at the island shorelines are determined by introducing a time sequence input with a stipulated spectrum covering the tsunami range (4–90 min). Computations are continued for a duration sufficient to establish a statistical equilibrium within the system. The shoreline time series of water elevations are then Four... Abstract A numerical procedure has been developed to determine the tsunami response of an island system and the surrounding underwater topography. The main algorithm in based on the Eulerian equations of motion and continuity which correspond to the classical, linear, long-wave equation in the absence of friction and rotation. It performs an integration of these equations in terms of an explicit scheme based on centered differences. The computations are carried out on a Cartesian grid network and employ a condition of no normal flow at the island shoreline representation as well as an approximate radiation condition for the scattered portion of the wave field at the outer boundaries. The responses at the island shorelines are determined by introducing a time sequence input with a stipulated spectrum covering the tsunami range (4–90 min). Computations are continued for a duration sufficient to establish a statistical equilibrium within the system. The shoreline time series of water elevations are then Four...

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