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TVD Fluxes for the High-Order ADER Schemes |
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| Authors: | |
| Affiliation: | (1) Laboratory of Applied Mathematics, Faculty of Engineering, University of Trento, Trento, Italy;(2) Department of Mathematics, Faculty of Science, University of Trento, Trento, Italy |
| 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 evolution |
| Keywords: | high-order schemes ADER essentially non-oscillatory generalised Riemann problem flux expansion TVD flux WAF flux |
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