Abstract
We introduce a Multi-Stage (MUSTA) approach for constructing upwind numerical schemes for nonconservative hyperbolic systems. MUSTA schemes for hyperbolic conservation laws were introduced in [8] as an approximate Riemann solver based on a GFORCE scheme and a predictor-corrector procedure. In [2] a path-conservative GFORCE numerical scheme (in the sense introduced in [6]) for nonconservative hyperbolic systems is proposed. Here, we propose a predictor-corrector procedure based on this extension of GFORCE to obtain a generalization of MUSTA schemes. These schemes can be applied to systems of conservation laws with source terms and nonconservative products. In particular, some applications to two-layer shallow-water flows are presented.
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© 2008 Springer-Verlag Berlin Heidelberg
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Castro, M.J., Parés, C., Pardo, A., Toro, E.F. (2008). Well-Balanced High-Order MUSTA Schemes for Non-Conservative Hyperbolic Systems. In: Kunisch, K., Of, G., Steinbach, O. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69777-0_29
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DOI: https://doi.org/10.1007/978-3-540-69777-0_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69776-3
Online ISBN: 978-3-540-69777-0
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