We present a family of high-order, essentially non-oscillatory, central schemes for approx- imating 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 con- tinuous extension of Runge-Kutta solvers. We explicitly construct the third and fourth-order scheme and demonstrate their high-resolution properties in several numerical tests.

Central WENO Schemes for Hyperbolic Systems of Conservation Laws

PUPPO, GABRIELLA ANNA
1999

Abstract

We present a family of high-order, essentially non-oscillatory, central schemes for approx- imating 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 con- tinuous extension of Runge-Kutta solvers. We explicitly construct the third and fourth-order scheme and demonstrate their high-resolution properties in several numerical tests.
Puppo, GABRIELLA ANNA
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11383/1789574
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