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Mathematical modeling of tsunami wave propagation at mid ocean and its amplification and run-up on shore

Journal of Ocean Engineering and Science 2021年第4期6卷 367-375页

作者： Archana C.Varsoliwala Twinkle R.Singh Applied Mathematics and Humanities Department Sardar Vallabhbhai National Institute of TechnologySurat 395007GujaratIndia

The paper deals with the study of the mathematical model of tsunami wave propagation along a coast-line of an *** model is based on shallow-water assumption which is represented by a system of non-linear partial differential *** this study,we employ the Elzaki Adomian Decomposition Method(EADM)to successfully obtain the solution for the proposed model for different coastal slopes and ocean *** tsunami wave velocity and run-up height are affected by the coast slope and sea depth are *** Adomian Decomposition Method together with Elzaki transform allows for solutions,without the need of any linearization or perturbation,in the form of rapidly converging *** obtained numerical results for tsunami wave height and velocity are very close match to the real physical phenomenon of tsunami.

关键词： tsunami wave propagation Run-up height Shallow water equations Elzaki Adomian Decomposition Method Convergence analysis

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A mathematical model of calculating local tsunami wave source constraints and propagation

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Acta Oceanologica Sinica 2015年第5期34卷 103-109页

作者： LI Daming LI Yangyang State Key Laboratory of Hydraulic Engineering Simulation and Safety Tianjin University

This paper presents a local tsunami simulation, including the initial displacement field model of tsunami source and tsunami wave propagation model. We deduced the tsunami wave equation; applied the matching of interior and exterior solutions method and water mass method to determine the initial displacement field in different bottom topography. tsunami wave propagation model was based on the Boussinesq equation. Difference format was based on the ADI method which discretized in alternating direction in the form of implicit scheme. The open boundary of ADI had been revised considering the influence of wave propagation in the equation of motion. The local tsunami mathematical model was used in the simulation of 2011 Japan tsunami, and the results and the observation data match well.

关键词： local tsunami initial displacement field numerical simulation tsunami wave propagation

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