Spectral methods for the Euler equations. I - Fourier methods and shock capturing

DOI10.2514/3.8872zbMath0554.76060OpenAlexW2049583215MaRDI QIDQ3217827

Manuel D. Salas, T. A. Zang, M. Yousuff Hussaini, David A. Kopriva

Publication date: 1985

Published in: AIAA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2514/3.8872

zbMATH Keywords

Euler equationmethod of weighted residualsfinite differenceSpectral methodsfinite element techniquesFiltering strategies for shock-capturing approachesFourier shock-capturing techniquesFourier spectral collocation methods

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Basic methods in fluid mechanics (76M99)

Related Items (11)

Tracking discontinuities in hyperbolic conservation laws with spectral accuracy ⋮ A practical assessment of spectral accuracy for hyperbolic problems with discontinuities ⋮ Spectral collocation methods ⋮ Domain decomposition with both spectral and finite difference methods for the accurate computation of flows with shocks ⋮ High order accurate finite difference schemes based on symmetry preservation ⋮ Family of spectral filters for discontinuous problems ⋮ Spectral solution of inviscid supersonic flows over wedges and axisymmetric cones ⋮ A windowed Fourier pseudospectral method for hyperbolic conservation laws ⋮ Pseudospectral simulation of compressible magnetohydrodynamic turbulence ⋮ An adaptive pseudospectral method for discontinuous problems ⋮ Spectral methods for the computation of discontinuous solutions

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