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Resolving Confusion Over Third-Order Accuracy of U-MUSCL

Resolving Confusion Over Third-Order Accuracy of U-MUSCL

In this paper, we discuss the U-MUSCL reconstruction scheme -- an unstructured-grid extension of Van Leerā€™s one-parameter kappa-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 kappa=1/2 or kappa=1/3. ā€¦