Combining high-order accuracy with non-oscillatory methods through monotonicity preservation

✍ Scribed by W. J. Rider; J. A. Greenough; J. R. Kamm

• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 65 KB
• Volume: 47
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.875

✦ Synopsis

Abstract

We have extended the usual notions used in high‐resolution methods. Rather than applying a single principle such as monotonicity or essentially non‐oscillatory stencil selection, we hybridize multiple principles applying them where they are most effective. We define methods that blend high‐order accuracy with essentially non‐oscillatory methods when monotonicity conditions are violated. The methods can be defined with a number of variants leading to results with differing properties. We also focus on the impact of the selection of the high‐order accurate stencil on the overall method. Published in 2005 by John Wiley & Sons, Ltd.