Central WENO Schemes for Hyperbolic Systems of Conservation Laws (2001)
| Venue: | MATH. MODEL. NUMER. ANAL |
| Citations: | 25 - 12 self |
BibTeX
@ARTICLE{Levy01centralweno,
author = {Doron Levy and Gabriella Puppo and Giovanni Russo},
title = {Central WENO Schemes for Hyperbolic Systems of Conservation Laws},
journal = {MATH. MODEL. NUMER. ANAL},
year = {2001},
volume = {33},
pages = {547--571}
}
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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 NonOscillatory (WENO) reconstruction of point-values from cell-averages, which is then followed by an accurate approximation of the fluxes via a natural continuous extension of Runge-Kutta solvers. We explicitly construct the third and fourthorder scheme and demonstrate their high-resolution properties in several numerical tests.
