Numerical Simulation of the Interaction of a Vortex with Stationary Airfoil in Transonic Flow,
NATIONAL AERONUATICS AND SPACE ADMINISTRATION MOFFETT FIELD CA AMES RESEARCH CENTER
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A perturbation form of an implicit conservative, noniterative numerical algorithm for the two-dimensional thin layer Navier-Stokes and Euler equations is used to computer the interaction flow field of a vortex with stationary airfoil. A Lamb-like analytical vortex having a finite core is chosen to interact with a thick NACA 0012 and a thin NACA 64A006 airfoil independently in transonic flow. Two different configurations of vortex interaction are studied 1 when the vortex is fixed at one location in the flow field and 2 when the vortex is convecting past the airfoil at free stream velocity. Parallel computations of this interacting flow field are also done using a version of the Transonic Small Disturbance Code ATRAN2. A special treatment of the leading edge region for thin airfoils is included in this code. With this, the three methods gave qualitatively similar results for the weaker interactions considered in this study. However, the strongest interactions considered proved to be beyond the capabilities of the small disturbance code.
- Theoretical Mathematics
- Fluid Mechanics