On Third-Order Limiter Functions for Finite Volume Methods

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 $2^{\text{nd}}$-order accuracy, the new limiter is $3^{\text{rd}}$-order accurate for smooth solutions. In an earlier work, such a $3^{\text{rd}}$-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.

8 pages, conference proceedings

References in corpus (1)

• Three-Dimensional Magnetohydrodynamic Simulations of the Crab Nebula