A common approach in modeling the generation and propagation of tsunami is based on the assumption of a kinematic vertical displacement of ocean water that is analogous to the ocean bottom displacement during a submarine earthquake and the use of a non-dispersive long-wave model to simulate its physical transformation as it radiates outward from the source region. In this study, a new generatio...

An unsteady discrete adjoint implementation for a discontinuous Galerkin model solving the shallow water wave equations on the sphere is presented. Its use for tsunami simulations is introduced to reconstruct the initial condition automatically from buoy measurements. Based on this feature, a real-time tsunami model is developed, using several numerical tools such as a high-order discretization...

The 2004 Sumatra earthquake and the associated tsunamis are one of the most devastating natural disasters in the last century. Several fault plane models have been suggested to represent the rupture mechanism of the earthquake. During this tsunami event, two satellites flew over Bay of Bengal and provided measurements for sea surface elevation with accuracy better than 4.2 cm. The satellite dat...

A well balanced numerical scheme based on stationary waves for shallow water flows with arbitrary topography has been introduced by Thanh et al. [18]. The scheme was constructed so that it maintains equilibrium states and tests indicate that it is stable and fast. Applying the well-balanced scheme for the one-dimensional shallow water equations, we study the early shock waves propagation toward...

In this paper, work was carried out to simulate three-dimensional (3-D) tsunami run-up from high resolution remote sensing satellite data of QuickBird. In doing so, the tsunami wave spectra are extracted from QuickBird data using two dimensional di Fourier transform (2-DFFT). The tsunami propagation equation was then solved based on the standard Galerkin finite element approach to simulate 3-D ...

The shallowwater equations are a commonly accepted approximation governing tsunami propagation. Numerically capturing certain features of local tsunami inundation requires solving these equations in their physically relevant conservative form, as integral conservation laws for depth and momentum. This form of the equations presents challenges when trying to numerically model global tsunami prop...

A combination of a deterministic approach and fragility analysis is applied to assess tsunami damage caused to buildings. The area selected to validate the model is Imwon Port in Korea. The deterministic approach includes numerical modeling of tsunami propagation in the East Sea following an earthquake on the western coast of Japan. The model is based on the linear shallow-water equations (LSWE...

Numerical experiments are conducted for two-dimensional model problems of tsunami generation by underwater slides and slumps. These problems consist of a semi-ellipse, translating down an incline with a prescribed center of mass motion. For each problem, this motion is derived as a function of geometric and material parameters, and we calculate corresponding characteristic tsunami amplitudes. L...