Resolving Confusion Over Third Order Accuracy of U-MUSCL

@article{Padway2021ResolvingCO,
  title={Resolving Confusion Over Third Order Accuracy of U-MUSCL},
  author={Emmett Padway and Hiroaki Nishikawa},
  journal={ArXiv},
  year={2021},
  volume={abs/2104.01292}
}
In this paper, we discuss the U-MUSCL reconstruction scheme – an unstructured-grid extension of Van Leer’s κ-scheme – proposed by Burg for the edge-based discretization [AIAA Paper 2005-4999]. This technique has been widely used in practical unstructured-grid fluid-dynamics solvers but with confusions: e.g., third-order accuracy with κ= 1/2 or κ= 1/3. This paper clarifies some of these confusions: e.g., the U-MUSCL scheme can be third-order accurate in the point-valued solution with κ= 1/3 on… 
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New Unstructured-Grid Limiter Functions

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