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 twodimensional gasdynamic flows. Examples include a shock/acoustic wave interaction, a shock/vortex interaction, and the classical bluntbody problem. With shock fitting, the spectral method has a clear advantage over secondorder finite differences in that equivalent accuracy can be obtained with far fewer grid points.
 Publication:

AIAA Journal
 Pub Date:
 February 1985
 DOI:
 10.2514/3.8900
 Bibcode:
 1985AIAAJ..23..234H
 Keywords:

 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