# On third-order limiter functions for finite volume methods - Zurich Open Repository and Archive

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.

## 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.

## Altmetrics

Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics English June 2016 19 May 2017 13:47 28 May 2017 05:14 Springer 1678-7544 https://doi.org/10.1007/s00574-016-0183-5