Numerical Instabilities in Upwind Methods: Analysis and Cures for the “Carbuncle” Phenomenon

Author:

Pandolfi Maurizio,D'Ambrosio Domenic

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference27 articles.

1. An approximate Riemann solver of hypersonic bidimensional flows;Charrier;C. R. Acad. Sci. Paris,1993

2. F. Coquel, and, M. S. Liou, Field by field hybrid upwind splitting methods, AIAA Paper 93-3302-CP, 1993.

3. On Godunov-type methods for gas dynamics;Einfeldt;SIAM J. Numer. Anal.,1988

4. On Godunov-type methods near low density;Einfeldt;J. Comput. Phys.,1991

5. A finite-difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics;Godunov;Mat. Sb.,1959

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