Abstract
This paper focuses on the numerical modelling and simulation of tsunami waves triggered by an underwater landslide. The equation of motion for water waves is represented by the Nonlinear Shallow Water Equations (NSWE). Meanwhile, the motion of underwater landslide is modeled by incorporating a term for bottom motion into the NSWE. The model is solved numerically by using a finite volume method with a momentum conservative staggered grid scheme that is proposed by Stelling & Duinmeijer 2003 [12]. Here, we modify the scheme for the implementation of bottom motion. The accuracy of the implementation for representing wave runup and rundown is shown by performing the runup of harmonic wave as proposed by Carrier & Greenspan 1958 [2], and also solitary wave runup of Synolakis, 1986 [14], for both breaking and non-breaking cases. For the underwater landslide, result of the simulation is compared with simulation using the Boundary Integral Equation Model (BIEM) that is performed by Lynett and Liu, 2002 [9].
Highlights
Tsunami waves are commonly caused by an earthquake or an underwater volcano explosion
This paper focuses on simulation of tsunami generation of underwater landslide
In a tsunami event generated by underwater landslide, the wave generation process that is important, and the capability of the numerical model for simulating wave runup phenomenon is crucial
Summary
Tsunami waves are commonly caused by an earthquake or an underwater volcano explosion. The numerical scheme should able to simulate wave runup accurately. Lynett and Liu [9] simulate tsunami wave generated by underwater landslide by using a Boussinesq model that is implemented using high order finite difference scheme. To be able to simulate accurately wave runup and motion of bottom, the model is implemented by using finite volume method a momentum conservative staggered grid scheme that is first proposed by Stelling & Duinmeijer [13].
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