A note on the carbuncle phenomenon in shallow water simulations

Friedemann Kemm

Type: Article

Publication Date: 2013-03-18

Citations: 12

DOI: https://doi.org/10.1002/zamm.201200176

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Locations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik - View

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Works Cited by This (16)

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+	Nonlinear Conservation Laws and Finite Volume Methods	2006	Randall J. LeVeque
+	A Carbuncle Free Roe-Type Solver for the Euler Equations	2008	Friedemann Kemm
+ PDF Chat	A contribution to the great Riemann solver debate	1994	James J. Quirk
+	Numerical Instabilities in Upwind Methods: Analysis and Cures for the “Carbuncle” Phenomenon	2001	Maurizio Pandolfi Domenic D’Ambrosio
+	On the dissipation mechanism of Godunov-type schemes	2003	Soo Hyung Park Jang Hyuk Kwon
+	On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws	1983	Amiram Harten Peter D. Lax Bram van Leer
+ PDF Chat	Upwind difference schemes for hyperbolic systems of conservation laws	1982	Stanley Osher Fred Solomon
+	Unstable Godunov Discrete Profiles for Steady Shock Waves	1998	Matthieu Bultelle Magali Grassin Denis Serre
+	On Postshock Oscillations Due to Shock Capturing Schemes in Unsteady Flows	1997	Mohit Arora Philip L. Roe