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
TVD fluxes for the high-order ADER schemes / Toro, Eleuterio Francisco; Titarev, V. A.. - In: JOURNAL OF SCIENTIFIC COMPUTING. - ISSN 0885-7474. - STAMPA. - 24:3(2005), pp. 285-309. [10.1007/s10915-004-4790-8]
TVD fluxes for the high-order ADER schemes
Toro, Eleuterio Francisco;V. A. Titarev
2005-01-01
Abstract
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 evolutionFile in questo prodotto:
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