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Staggered Finite Difference Schemes for Conservation Laws

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

    Gabriella Puppo

  2. Dipartimento di Matematica ed Informatica, Università di Catania, Viale Andrea Doria 6, 95125, Catania, Italy

    Giovanni Russo

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  1. Gabriella Puppo
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  2. Giovanni Russo
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Correspondence to Gabriella Puppo.

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Puppo, G., Russo, G. Staggered Finite Difference Schemes for Conservation Laws. J Sci Comput 27, 403–418 (2006). https://doi.org/10.1007/s10915-005-9036-x

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  • DOI: https://doi.org/10.1007/s10915-005-9036-x

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