Spectral methods for the Euler equations. II - Chebyshev methods and shock fitting
Abstract
The Chebyshev spectral collocation method for the Euler gasdynamic equations is described. It is used with shock fitting to compute several two-dimensional gasdynamic 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.
- Publication:
-
AIAA Journal
- Pub Date:
- February 1985
- DOI:
- Bibcode:
- 1985AIAAJ..23..234H
- Keywords:
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- Chebyshev Approximation;
- Computational Fluid Dynamics;
- Euler Equations Of Motion;
- Gas Dynamics;
- Shock Waves;
- Two Dimensional Flow;
- Acoustic Propagation;
- Blunt Bodies;
- Cartesian Coordinates;
- Finite Difference Theory;
- Flow Distribution;
- Mach Number;
- Vortices;
- Fluid Mechanics and Heat Transfer