A spectral method with subcell resolution for shock wave calculations

DOI10.1016/0168-9274(95)00134-4zbMath0866.65065OpenAlexW1986245676MaRDI QIDQ1924829

C. G. Mingham, P. S. Crossley, D. M. Causon, Robert Saunders

Publication date: 27 July 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00134-4

zbMATH Keywords

wave equationnumerical examplesEuler equationsBurgers' equationshock wavediscontinuous solutionsGibbs phenomenonspectral methodgas dynamics

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) KdV equations (Korteweg-de Vries equations) (35Q53) Gas dynamics (general theory) (76N15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

A spectral method with subcell resolution for shock wave calculations

Cites Work

• Unnamed Item
• ENO schemes with subcell resolution
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Multicomponent flow calculations by a consistent primitive algorithm
• A spectral method with subcell resolution for shock wave calculations
• Essentially Nonoscillatory Spectral Fourier Method for Shocks Wave Calculations
• Convergence of Spectral Methods for Nonlinear Conservation Laws
• Accurate and Efficient Reconstruction of Discontinuous Functions from Truncated Series Expansions