Numerical Study of Compressible Viscous Flow by Pseudosprectral Method.
Research rept. 1985-1986,
UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES DEPT OF AEROSPACE ENGINEERING
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In recent years, an explosion in the capabilities of Computational Fluid Dynamics CFD has occured. Since the introduction of the Small Perturbation method of Murman and Cole, transonic CFD has quickly evolved towards Full Potential and Euler methods capable of analyzing a variety of three-dimensional configurations. Although much success has been realized in this field, continued success is inevitable with the ever increasing advances in computing power and faster algorithms. The purpose of this research is to study the applicability of pseudo-spectral schemes for transonic CFD. Several time-stepping procedures were investigated to become familiar with techniques appropriate for the pseudo-spectral scheme. The procedures were tested on two model problems including Burgers inviscid equation, and each procedures stability criterion was determined. The main purpose of these exercises was to provide the author experience and a sense of confidence in several time-stepping procedures, specifically, their accuracy, and their stability as defined by the mathematical analyses.
- Theoretical Mathematics
- Fluid Mechanics