RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Sib. Èlektron. Mat. Izv., 2014, Volume 11, Pages C.115–C.120 (Mi semr558)  

This article is cited in 1 scientific paper (total in 1 paper)

Proceedings of conferences

Fast algorithm for calculation of the moving tsunami wave height

O. I. Krivorotko

Novosibirsk State University, Pirogova street 2, 630090, Novosibirsk, Russia

Abstract: One of the most urgent problems of mathematical tsunami modeling is estimation of a tsunami wave height while a wave approaches to the coastal zone. There are two methods for solving this problem, namely, Airy–Green formula in one-dimensional case
$$ S^{(l)}(x)=S^{(l)}(0)\cdot\root4\of{H(0)/H(x)}, $$
and numerical solution of an initial-boundary value problem for linear shallow water equations (LSWE) that depends on three variables. The main difficulty problem of tsunami modeling is a very big size of the computational domain. The calculation of the solution of LSWE (the function of three variables) in this domain requires large computing resources. We construct a new algorithm to solve numerically the problem of determining the moving tsunami wave height for linear source which is based on kinematic-type approach and analytical representation of fundamental solution of LSWE. We get the expression of the moving tsunami wave height for the point source and demonstrate connections between tsunami amplitude for point, linear and arbitrary sources.

Keywords: shallow water equations, eikonal equation, tsunami wave height, finite-difference scheme.

Full text: PDF file (619 kB)
References: PDF file   HTML file
UDC: 519.633.2
MSC: 13A99
Received May 15, 2014, published December 25, 2014
Language:

Citation: O. I. Krivorotko, “Fast algorithm for calculation of the moving tsunami wave height”, Sib. Èlektron. Mat. Izv., 11 (2014), C.115–C.120

Citation in format AMSBIB
\Bibitem{Kri14}
\by O.~I.~Krivorotko
\paper Fast algorithm for calculation of the moving tsunami wave height
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages C.115--C.120
\mathnet{http://mi.mathnet.ru/semr558}


Linking options:
  • http://mi.mathnet.ru/eng/semr558
  • http://mi.mathnet.ru/eng/semr/v11/p115

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
    CONFERENCES AND SYMPOSIA

    This publication is cited in the following articles:
    1. An. G. Marchuk, “The assessment of tsunami heights above the parabolic bottom relief within the wave-ray approach”, Num. Anal. Appl., 10:1 (2017), 17–27  mathnet  crossref  crossref  mathscinet  isi  elib
  • Number of views:
    This page:137
    Full text:41
    References:23

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019