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An investigation of several factors involved in a finite difference procedure for analyzing the transonic flow about harmonically oscillating airfoils and wings
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Sebastian, J. D. Weatherill, W. H. Ehlers, F. E. |
| Copyright Year | 1979 |
| Description | Analytical and empirical studies of a finite difference method for the solution of the transonic flow about harmonically oscillating wings and airfoils are presented. The procedure is based on separating the velocity potential into steady and unsteady parts and linearizing the resulting unsteady equations for small disturbances. Since sinusoidal motion is assumed, the unsteady equation is independent of time. Three finite difference investigations are discussed including a new operator for mesh points with supersonic flow, the effects on relaxation solution convergence of adding a viscosity term to the original differential equation, and an alternate and relatively simple downstream boundary condition. A method is developed which uses a finite difference procedure over a limited inner region and an approximate analytical procedure for the remaining outer region. Two investigations concerned with three-dimensional flow are presented. The first is the development of an oblique coordinate system for swept and tapered wings. The second derives the additional terms required to make row relaxation solutions converge when mixed flow is present. A finite span flutter analysis procedure is described using the two-dimensional unsteady transonic program with a full three-dimensional steady velocity potential. |
| File Size | 2327402 |
| Page Count | 96 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19800005800 |
| Archival Resource Key | ark:/13960/t6935n762 |
| Language | English |
| Publisher Date | 1979-05-01 |
| Access Restriction | Open |
| Subject Keyword | Aerodynamics Viscosity Transonic Flow Three Dimensional Flow Wing Oscillations Finite Difference Theory Harmonic Oscillation Airfoils Flutter Analysis Unsteady Flow Two Dimensional Flow Ntrs Nasa Technical Reports ServerĀ (ntrs) Nasa Technical Reports Server Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |