Improvement of Convergence to Steady State Solutions of Euler Equations with the WENO Schemes

The convergence to steady state solutions of the Euler equations for high order weighted essentially non-oscillatory (WENO) finite difference schemes with the Lax-Friedrichs flux splitting (Jiang and Shu, in J. Comput. Phys. 126:202–228, 1996 ) is investigated. Numerical evidence in Zhang and Shu (J...

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Veröffentlicht in:	Journal of scientific computing 2011-05, Vol.47 (2), p.216-238
Hauptverfasser:	Zhang, Shuhai, Jiang, Shufen, Shu, Chi-Wang
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Computational Mathematics and Numerical Analysis Convergence Decomposition Eigenvectors Enthalpy Euler-Lagrange equation Finite difference method Indicators Interpolation Jacobians Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical models Mathematics Mathematics and Statistics Oscillations Residues Shock waves Smoothness Steady state Theoretical Truncation errors
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