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

Numerical methods and programming, 2016, Volume 17, Issue 4, Pages 393–401 (Mi vmp845)  
Time reversibility and stream correction in the CABARET scheme for the two-dimensional equation of convective transport

V. M. Goloviznina, D. Yu. Gorbachevb, A. M. Kolokolnikovb, P. A. Maiorovb, P. A. Maiorovb, B. A. Tlepsukb

a Nuclear Safety Institute, RAS, Moscow
b Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (622 kB)
Abstract: The CABARET (Compact Accurately Boundary Adjusting-REsolution Technique) difference scheme with five different modifications of nonlinear flow correction based on the maximum principle is considered for the two-dimensional linear convection equation. The computational efficiency of these different modifications is analyzed by the results of solving the Crowley's problem on the cone rotation around the axis not coincident with the axis of the cone using condensing orthogonal grids. A number of recommendations are formulated to improve the computational efficiency of the entire class of CABARET schemes for the hyperbolic-type conservation laws and for the processes with dominant grid transfer.
Keywords: CABARET scheme, shallow water equations, conservative schemes, time reversible schemes, numerical simulation.
Received: 22.08.2016
UDC: 519.63
Language: Russian
Citation: V. M. Goloviznin, D. Yu. Gorbachev, A. M. Kolokolnikov, P. A. Maiorov, P. A. Maiorov, B. A. Tlepsuk, “Time reversibility and stream correction in the CABARET scheme for the two-dimensional equation of convective transport”, Num. Meth. Prog., 17:4 (2016), 393–401
Citation in format AMSBIB
\Bibitem{GolGorKol16}
\by V.~M.~Goloviznin, D.~Yu.~Gorbachev, A.~M.~Kolokolnikov, P.~A.~Maiorov, P.~A.~Maiorov, B.~A.~Tlepsuk
\paper Time reversibility and stream correction in the CABARET scheme for the two-dimensional equation of convective transport
\jour Num. Meth. Prog.
\yr 2016
\vol 17
\issue 4
\pages 393--401
\mathnet{http://mi.mathnet.ru/vmp845}
Linking options:
  • https://www.mathnet.ru/eng/vmp845
  • https://www.mathnet.ru/eng/vmp/v17/i4/p393
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Numerical methods and programming
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024