Stability analysis and aerodynamic design optimization of euler equations using variational methods
✍ Scribed by Adem H. Ibrahim; Surendra N. Tiwari; Robert E. Smith
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 163 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
The one-and two-dimensional inviscid Euler equations are formulated in an integro-differential form for shape design sensitivity analysis and optimization. The principal tool employed to derive the performance derivative sensitivity equations is the variational method, which is a continuous alternative to the discrete sensitivity analysis.
Along with the sensitivity equations, the co-state equations and their boundary conditions are derived. Thereafter, based on the modal analysis of Von Neumann theory, the stability limits of the co-state equations are investigated. The stability characteristics of the co-state equations are compared with those of the Euler equations. Finally, using the criteria from the stability analysis of the state and co-state equations, some results of shape design optimization and sensitivity analysis for both quasi one-and two-dimensional Euler equations are presented.