×

zbMATH — the first resource for mathematics

Compact central WENO schemes for multidimensional conservation laws. (English) Zbl 0967.65089
The article presents new third order central schemes for approximating solutions of systems of conservation laws in one and two dimensions. A compact central weighted essentially nonoscillatory (CWENO) reconstruction is introduced.
A full description of the reconstruction is presented. Numerical examples deal with 1D and 2D scalar equation (linear and Burgers equations) and the 1D shock tube for the Euler equation.
Third order of accuracy is proved numerically. The work slightly extends a very large range of wors dealing with ENO and WENO schemes.

MSC:
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
35Q53 KdV equations (Korteweg-de Vries equations)
PDF BibTeX XML Cite
Full Text: DOI