Unsteady Two-Dimensional Subsonic, Transonic, and Supersonic Flow Calculations by the Method of Characteristics.
Final rept. Mar 73-Feb 76,
NORTHROP CORP HAWTHORNE CALIF AIRCRAFT DIV
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A method of characteristics for calculating inviscid unsteady two-dimensional flow is presented. The compatibility relations for two-dimensional unsteady compressible flow are first derived and the boundary conditions are discussed. Then, the generalized finite-difference approximations of the compatibility relation are presented. This is followed by a description of the numerical scheme and some special procedures. Since the equations governing unsteady inviscid compressible flow are always hyperbolic, the method is applicable to subsonic, transonic, and supersonic flows, and the present scheme has been used to calculate flow fields over airfoils in all three speed regimes. Following the description of the numerical scheme and procedures, flow field examples in each of the three speed regimes are presented and discussed. Finally, conclusions are drawn and some future extensions are indicated.
- Numerical Mathematics
- Fluid Mechanics