A 1D exact treatment of shock waves within spectral methods in plane geometry

DOI10.1016/0021-9991(91)90012-AzbMath0738.76056OpenAlexW2063083335MaRDI QIDQ1181892

Silvano Bonazzola, Jean-Alain Marck

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-9991(91)90012-a

zbMATH Keywords

shock formationEuler equationsmatching conditionsChebyshev polynomial serieschemical abundancespseudo-spectral numerical method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Shock waves and blast waves in fluid mechanics (76L05)

Related Items

Spectral methods for numerical relativity, Continuum and discrete initial-boundary value problems and Einstein's field equations

Cites Work

• An approximate linearised Riemann solver for the Euler equations for real gases
• Flux-corrected pseudospectral method for scalar hyperbolic conservation laws
• Three-dimensional gas dynamics in a sphere
• An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory
• Convergence of Spectral Methods for Nonlinear Conservation Laws
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