Staggered Finite Difference Schemes for Conservation Laws

Authors:
Gabriella Puppo;Giovanni Russo
Affiliations:
Dipartimento di Matematica, Politecnico di Torino, Torino, Italy 10129;Dipartimento di Matematica ed Informatica, Università di Catania, Catania, Italy 95125
Venue:
Journal of Scientific Computing
Year:
2006

Citing 13
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Abstract

In this work, we introduce new finite-difference shock-capturing central schemes on staggered grids. Staggered schemes may have better resolution of the corresponding unstaggered schemes of the same order. They are based on high-order nonoscillatory reconstruction (ENO or WENO), and a suitable ODE solver for the computation of the integral of the flux. Although they suffer from a more severe stability restriction, they do not require a numerical flux function. A comparison of the new schemes with high-order finite volume (on staggered and unstaggered grids) and high order unstaggered finite difference methods is reported.