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 2nd-order accuracy, the new limiter is 3rd-order accurate for smooth solution. In an earlier work, such a 3rd-order limiter function was proposed and showed successful results . However, it came with unspecified parameters. We close this gap by giving information on these parameters.
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