Sibirskii Zhurnal Vychislitel'noi Matematiki
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. Zh. Vychisl. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Zhurnal Vychislitel'noi Matematiki, 2019, Volume 22, Number 3, Pages 281–299
DOI: https://doi.org/10.15372/SJNM20190303 (Mi sjvm715) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Exact solutions of shallow water equations for the water oscillation problem in a simulated basin and their implementation in verifying numerical algorithms

N. A. Matskevichab, L. B. Chubarovba

a Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia
Full-text PDF (5900 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.15372/SJNM20190303
Abstract: We present the approaches to solving a problem of shallow water oscillations in a parabolic basin (including an extra case of a horizontal plane). A series of assumptions about the form of solution and effects of Earth‘s rotation and bottom friction are made. Then the resulting ODE systems are solved. The corresponding free surfaces have first or second order. The conditions of finiteness and localization of a flow are analyzed. The solutions are used in the verification of numerical algorithm of the large particles method, the efficiency of the carried out tests is discussed.
Key words: wave run-up, free surface, Coriolis force, bottom friction, mathematical modeling, shallow water equations, exact solutions, ordinary differential equations, numerical algorithms, large particles method, verification.
Received: 13.08.2018
Revised: 07.11.2018
Accepted: 07.05.2019
English version:
Numerical Analysis and Applications, 2019, Volume 12, Issue 3, Pages 234–250
DOI: https://doi.org/10.1134/S1995423919030030
Bibliographic databases:
Document Type: Article
UDC: 51.72, 532.591
Language: Russian
Citation: N. A. Matskevich, L. B. Chubarov, “Exact solutions of shallow water equations for the water oscillation problem in a simulated basin and their implementation in verifying numerical algorithms”, Sib. Zh. Vychisl. Mat., 22:3 (2019), 281–299; Num. Anal. Appl., 12:3 (2019), 234–250
Citation in format AMSBIB
\Bibitem{MatChu19}
\by N.~A.~Matskevich, L.~B.~Chubarov
\paper Exact solutions of shallow water equations for the water oscillation problem in a simulated basin and their implementation in verifying numerical algorithms
\jour Sib. Zh. Vychisl. Mat.
\yr 2019
\vol 22
\issue 3
\pages 281--299
\mathnet{http://mi.mathnet.ru/sjvm715}
\crossref{https://doi.org/10.15372/SJNM20190303}
\elib{https://elibrary.ru/item.asp?id=38303548}
\transl
\jour Num. Anal. Appl.
\yr 2019
\vol 12
\issue 3
\pages 234--250
\crossref{https://doi.org/10.1134/S1995423919030030}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000485274000003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85071735364}
Linking options:
  • https://www.mathnet.ru/eng/sjvm715
  • https://www.mathnet.ru/eng/sjvm/v22/i3/p281
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
    Statistics & downloads:
    Abstract page:228
    Full-text PDF :29
    References:29
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024