184
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Cabaret finite‐difference schemes for the one‐dimensional Euler equations

, &
Pages 210-220 | Received 19 Sep 2001, Published online: 14 Oct 2010

References

  • Anderson , W.K. , Thomas , J.L. and Van Leer. , B. 1986 . Comparison of finite volume Flux vector splittings for the Euler equations . AIAA Journ. , 24 : 14531 – 60 .
  • Godunov , S.K. 1959 . A difference scheme for numerical computation of discontinuous solutions of equations of fluid dynamics . Math. Sb. , 47 (89) : 271 – 306 .
  • Goloviznin , V.M. and Samarskii , A.A. 1998 . A finite‐difference approximation of convective transport with a space‐split time derivative . Journ. Of. Math. Modelling , 10 (1) : 86 – 100 . (in Russian)
  • Goloviznin , V.M. and Samarskii , A.A. 1998 . On several properties of the CABARET scheme . Journ. Of. Math. Modelling , 10 (1) : 101 – 116 . (in Russian)
  • Goloviznin , V.M. and Karabasov , S.A. 1998 . Article in journal Non‐linear correction of Cabaret scheme . Journ. of Math. Modelling , 10 (12) : 107 – 123 . (in Russian)
  • Harten , A. 1983 . High resolution schemes for hyperbolic conservation laws . J.Comput. Phys. , 49 : 357 – 393 .
  • Hirsh , C. 1990 . Numerical computation of internal and external flows, V2: Computational Methods for Inviscid and Viscous Flows , Vol. V2 , John Wiley & Sons Ltd .
  • Iserles , A. 1986 . Generalized leapfrog methods . IMA Journal of Numerical Analysis , 6
  • Roe , P.L. 1986 . Characteristic based schemes for the Euler equations . Annual. Rev. Fluid. Mech. , 18 : 337 – 365 .
  • Van Leer , B. 1974 . Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second order scheme . Journal of Comp. Phys. , 14 : 361 – 70 .
  • Vyaznikov , K.V. , Tishkin , V.F. , Favorski , A.P. and Shashkov , M.Yu. 1987 . Quasi‐monotone finite‐difference schemes of higher accuracy . Preprint IPM AN SSSR , (Russian)

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.