Towards the ultimate understanding of MUSCL: Pitfalls in achieving third-order accuracy

Bram van Leer, Hiroaki Nishikawa

Type: Article

Publication Date: 2021-08-24

Citations: 27

DOI: https://doi.org/10.1016/j.jcp.2021.110640

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Journal of Computational Physics - View - PDF

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+	Efficient implementation of essentially non-oscillatory shock-capturing schemes, II	1989	Chi‐Wang Shu Stanley Osher
+	Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction	1990	Timothy J. Barth Paul O. Frederickson
+	Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow	1977	Bram van Leer
+	Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes	1997	Philip L. Roe
+ PDF Chat	A reconstructed discontinuous Galerkin method based on a Hierarchical WENO reconstruction for compressible flows on tetrahedral grids	2012	Hong Luo Yidong Xia Seth C. Spiegel Robert Nourgaliev Zonglin Jiang
+	The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V	1998	Bernardo Cockburn Chi‐Wang Shu
+	Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method	1979	Bram van Leer
+	Strong Stability-Preserving High-Order Time Discretization Methods	2001	Sigal Gottlieb Chi‐Wang Shu Eitan Tadmor