NASA NTRS · 19840009050
Spectral methods for the Euler equations: Chebyshev methods and shock-fitting
Abstract
The Chebyshev spectral collocation method for the Euler gas-dynamic equations is described. It is used with shock fitting to compute several two-dimensional, gas-dynamic flows. Examples include a shock-acoustic wave interaction, a shock/vortex interaction, and the classical blunt body problem. With shock fitting, the spectral method has a clear advantage over second order finite differences in that equivalent accuracy can be obtained with far fewer grid points.
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Hussaini, M. Y., Kopriva, D. A., Salas, M. D., Zang, T. A.. 1984-01-01. Spectral methods for the Euler equations: Chebyshev methods and shock-fitting. https://ntrs.nasa.gov/citations/19840009050
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