Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-27T18:16:30.707Z Has data issue: false hasContentIssue false
  • English
  • Français

Central WENO schemes for hyperbolic systemsof conservation laws

Published online by Cambridge University Press:  15 August 2002

Doron Levy ,
Gabriella Puppo  and
Giovanni Russo
Doron Levy
Affiliation:
Département de Mathématiques et d'Informatique, École Normale Supérieure, 45 rue d'Ulm, 75230 Paris Cedex 05, France.
Gabriella Puppo
Affiliation:
Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy. [email protected].
Giovanni Russo
Affiliation:
Dipartimento di Matematica, Università dell'Aquila, Via Vetoio, loc. Coppito, 67100 L'Aquila, Italy. [email protected].
Get access

Abstract

We present a family of high-order, essentially non-oscillatory, central schemes for approximating solutions of hyperbolic systems of conservation laws. These schemes are based on a new centered version of the Weighed Essentially Non-Oscillatory (WENO) reconstruction of point-valuesfrom cell-averages, which is then followed by an accurate approximationof the fluxes via a natural continuous extension of Runge-Kutta solvers.We explicitly construct the third and fourth-order scheme and demonstrate theirhigh-resolution properties in several numerical tests.

Keywords

Hyperbolic conservation lawscentral difference schemeshigh-order accuracynon-oscillatory schemesWENO reconstructionRunge-Kutta.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 3 , May 1999 , pp. 547 - 571
Copyright
© EDP Sciences, SMAI, 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)