Non-oscillatory spectral element Chebyshev method for shock wave calculations

DOI10.1006/JCPH.1993.1121zbMath0781.65083OpenAlexW1998740995MaRDI QIDQ1261348

David Sidilkover, George Em. Karniadakis

Publication date: 17 February 1994

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1993.1121

zbMATH Keywords

shock wavelinear advectionEuler systeminviscid Burgers' equationcell averagingGauss-Lobatto-Chebyshev discretizationsnon-oscillatory spectral element Chebyshev method

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) KdV equations (Korteweg-de Vries equations) (35Q53) Shock waves and blast waves in fluid mechanics (76L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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