Further studies on numerical instabilities of Godunov-type schemes for strong shocks

Wenjia Xie, Zhengyu Tian, Ye Zhang, Hang Yu, Weijie Ren

Type: Article

Publication Date: 2021-10-15

Citations: 9

DOI: https://doi.org/10.1016/j.camwa.2021.10.008

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Computers & Mathematics with Applications - View
arXiv (Cornell University) - View - PDF

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+	A note on the carbuncle phenomenon in shallow water simulations	2013	Friedemann Kemm
+	Toward a reliable prediction of shocks in hypersonic flow: Resolving carbuncles with entropy and vorticity control.	2006	Farzad Ismail
+ PDF Chat	Numerical Shockwave Anomalies.	2012	Daniel Wei-Ming Zaide
+	Restoration of the contact surface in the HLL-Riemann solver	1994	Eleuterio F. Toro M. Spruce W. Speares
+	Numerical Defects of the HLL Scheme and Dissipation Matrices for the Euler Equations	2014	Yue Wang Jiequan Li
+ PDF Chat	Mathematics and physics	2007	Peter D. Lax
+	Efficient implementation of essentially non-oscillatory shock-capturing schemes, II	1989	Chi‐Wang Shu Stanley Osher
+	On Godunov-type methods near low densities	1991	Bernd Einfeldt C.‐D. Munz Philip L. Roe Björn Sjögreen
+	The numerical simulation of two-dimensional fluid flow with strong shocks	1984	Paul R. Woodward Phillip Colella