Numerical methods and programming
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Num. Meth. Prog.:
Year:
Volume:
Issue:
Page:
Find






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


Num. Meth. Prog., 2015, Volume 16, Issue 1, Pages 10–17 (Mi vmp514)  

Application of predictor-corrector finite-difference-based schemes in the lattice Boltzmann method

G. V. Krivovichev, E. V. Voskoboinikova

Saint Petersburg State University

Abstract: Predictor-corrector finite-difference-based lattice Boltzmann schemes are proposed. An approach with separate approximation of spatial derivatives in the convective terms of kinetic equations and an approach when these terms are replaced by a single finite difference are considered. Explicit finite-difference schemes are used at both the stages of the computation process. The cavity flow problem and the Taylor vortex problem are solved numerically in a wide range of the Reynolds number. It is shown that the proposed schemes allow a larger time step compared to other known schemes.

Keywords: lattice Boltzmann method, kinetic equations, predictor-corrector, cavity flow problem, Taylor vortices.

Full text: PDF file (249 kB)
UDC: 519.62
Received: 20.11.2014

Citation: G. V. Krivovichev, E. V. Voskoboinikova, “Application of predictor-corrector finite-difference-based schemes in the lattice Boltzmann method”, Num. Meth. Prog., 16:1 (2015), 10–17

Citation in format AMSBIB
\Bibitem{KriVos15}
\by G.~V.~Krivovichev, E.~V.~Voskoboinikova
\paper Application of predictor-corrector finite-difference-based schemes in the lattice Boltzmann method
\jour Num. Meth. Prog.
\yr 2015
\vol 16
\issue 1
\pages 10--17
\mathnet{http://mi.mathnet.ru/vmp514}


Linking options:
  • http://mi.mathnet.ru/eng/vmp514
  • http://mi.mathnet.ru/eng/vmp/v16/i1/p10

    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
  • Numerical methods and programming
    Number of views:
    This page:89
    Full text:32

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2022