TVD Fluxes for the High-Order ADER Schemes

被引：0
|
作者：
E. F. Toro
V. A. Titarev
机构：
[1] University of Trento,Laboratory of Applied Mathematics, Faculty of Engineering
[2] University of Trento,Department of Mathematics, Faculty of Science
来源：
Journal of Scientific Computing | 2005年 / 24卷
关键词：
high-order schemes; ADER; essentially non-oscillatory; generalised Riemann problem; flux expansion; TVD flux; WAF flux;
D O I：
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学科分类号：
摘要：
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
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页码：285 / 309
页数：24
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