Navigation auf zora.uzh.ch

Search ZORA

ZORA (Zurich Open Repository and Archive)

On third-order limiter functions for finite volume methods

Schmidtmann, Birte; Abgrall, Rémi; Torrilhon, Manuel (2016). On third-order limiter functions for finite volume methods. Bulletin of the Brazilian Mathematical Society, N.S., 47(2):753-764.

Abstract

In this article, we propose a finite volume limiter function for a reconstruction on the three-point stencil. Compared to classical limiter functions in the MUSCL framework, which yield 2$^{rd}$-order accuracy, the new limiter is 3$^{rd}$-order accurate for smooth solution. In an earlier work, such a 3$^{rd}$-order limiter function was proposed and showed successful results [2]. However, it came with unspecified parameters. We close this gap by giving information on these parameters.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > General Mathematics
Language:English
Date:June 2016
Deposited On:19 May 2017 13:47
Last Modified:17 Oct 2024 01:35
Publisher:Springer
ISSN:1678-7544
OA Status:Closed
Publisher DOI:https://doi.org/10.1007/s00574-016-0183-5
Full text not available from this repository.

Metadata Export

Statistics

Citations

Dimensions.ai Metrics
6 citations in Web of Science®
8 citations in Scopus®
Google Scholar™

Altmetrics

Authors, Affiliations, Collaborations

Similar Publications