A numerical algorithm for computing tsunami wave amplitudes

A numerical multistep algorithm for computing tsunami wave front amplitudes is proposed. The first step consists in solving an appropriate eikonal equation. The eikonal equation is solved with Godunov’s approach and a bicharacteristic method. A qualitative comparison of the two methods is done. A ch...

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Vydané v:Numerical analysis and applications Ročník 9; číslo 2; s. 118 - 128
Hlavní autori: Kabanikhin, S. I., Krivorot’ko, O. I.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Moscow Pleiades Publishing 01.04.2016
Predmet:
Mathematics
Mathematics and Statistics
Numerical Analysis
tsunami amplitude
finite difference approach
fundamental solution
eikonal equation
shallow water equations
ISSN:1995-4239, 1995-4247
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Popis
Shrnutí:A numerical multistep algorithm for computing tsunami wave front amplitudes is proposed. The first step consists in solving an appropriate eikonal equation. The eikonal equation is solved with Godunov’s approach and a bicharacteristic method. A qualitative comparison of the two methods is done. A change of variables is made with the eikonal equation solution at the second step. At the last step, using an expansion of the fundamental solution to the shallow water equations in the new variables, we obtain a Cauchy problem of lesser dimension for the leading edge wave amplitude. The results of numerical experiments are presented.
ISSN:1995-4239
1995-4247
DOI:10.1134/S1995423916020038