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.