Central WENO schemes for hyperbolic systems of conservation laws

Levy, Doron, Puppo, Gabriella, and Russo, Giovanni. "Central WENO schemes for hyperbolic systems of conservation laws." ESAIM: Mathematical Modelling and Numerical Analysis 33.3 (2010): 547-571. <http://eudml.org/doc/197529>.

@article{Levy2010,
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-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 fourth-order scheme and demonstrate their high-resolution properties in several numerical tests. },
author = {Levy, Doron, Puppo, Gabriella, Russo, Giovanni},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Hyperbolic conservation laws; central difference schemes; high-order accuracy; non-oscillatory schemes; WENO reconstruction; Runge-Kutta.; systems of hyperbolic conservation laws; numerical examples; Runge-Kutta methods; central weighted essentially non-oscillatory difference schemes},
language = {eng},
month = {3},
number = {3},
pages = {547-571},
publisher = {EDP Sciences},
title = {Central WENO schemes for hyperbolic systems of conservation laws},
url = {http://eudml.org/doc/197529},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Levy, Doron
AU - Puppo, Gabriella
AU - Russo, Giovanni
TI - Central WENO schemes for hyperbolic systems of conservation laws
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 3
SP - 547
EP - 571
AB - 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-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 fourth-order scheme and demonstrate their high-resolution properties in several numerical tests.
LA - eng
KW - Hyperbolic conservation laws; central difference schemes; high-order accuracy; non-oscillatory schemes; WENO reconstruction; Runge-Kutta.; systems of hyperbolic conservation laws; numerical examples; Runge-Kutta methods; central weighted essentially non-oscillatory difference schemes
UR - http://eudml.org/doc/197529
ER -