TVD Fluxes for the High-Order ADER Schemes

TVD Fluxes for the High-Order ADER Schemes

In this paper we propose to use a TVD flux, instead of a first-order monotone flux, as the building block for designing very high-order methods; we implement the idea in the context of ADER schemes via a new flux expansion. Systematic assessment of the new schemes shows substantial gains in accuracy...

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Bibliographic Details
Published in:Journal of scientific computing Vol. 24; no. 3; pp. 285 - 309
Main Authors: Toro, E. F., Titarev, V. A.
Format: Journal Article
Language:English
Published: New York Springer Nature B.V 01-09-2005
Online Access:Get full text
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Summary:In this paper we propose to use a TVD flux, instead of a first-order monotone flux, as the building block for designing very high-order methods; we implement the idea in the context of ADER schemes via a new flux expansion. Systematic assessment of the new schemes shows substantial gains in accuracy; these are particularly evident for problems involving long time evolution
ISSN:0885-7474
1573-7691
DOI:10.1007/s10915-004-4790-8