Numerical study of the effects of tsunamis using a finite element method

Abstract

Effects of tsunamis generated in water areas surrounding Japan are studied numerically. Partial differential equations consisting of momentum equations and a continuity equation are reduced to a system of ordinary differential equations with discretisation based on a finite element mesh. An ordinary differential equation solver is applied to the resultant system to generate numerical solutions. Depth data formulated in terms of longitude and latitude in the horizontal direction are transformed to generate input data in terms of projected coordinates by the Gauss--Kruger projection. Numerical results are visualised, and effects of tsunamis such as wave heights and propagation speeds are illustrated. Numerical techniques to simulate tsunamis are described, and numerical results are introduced. References

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