论文信息 - A VISCOUS INVERSE METHOD FOR THE HIGH SPEED AXISYMMETRIC BODY DESIGN

A VISCOUS INVERSE METHOD FOR THE HIGH SPEED AXISYMMETRIC BODY DESIGN

An inverse method for the design of high speed axisymmetric bodies is developed using the parabolized Navier-Stokes equations. The developed method is examined numerically for three extreme test cases in the supersonic (M^S.O) and hypersonic (Mm=6.2S) speeds. The first one is a negative pressure distribution near a vacuum pressure and the second one is a positive pressure distribution over a whole region of the body. The last one is the case of abrupt change of pressure distribution to zero in the forward region of the body. These test cases demonstrate the robustness of the method. By introducing a regular-falsi method and by using not-fully converged inverse solution, the convergence behavior is greatly improved. Nomenclature

Young-ki Lee | Young-Ki Lee | JaeWoo Leef | J. Leef

[1] Larry Birckelbaw. Inverse airfoil design using the Navier-Stokes equations , 1989 .

[3] Bram van Leer,et al. Implicit flux-split schemes for the Euler equations , 1985 .

[4] Hyoung-Jin Kim,et al. Dual-point design of transonic airfoils using the hybrid inverse optimization method , 1997 .

[5] T. R. Lacey,et al. Feasibility and benefits of laminar flow control on supersonic cruise airplanes , 1989 .

[6] Warren H. Davis. Technique for Developing Design Tools from the Analysis Methods of Computational Aerodynamics , 1980 .

[7] R. L. Barger,et al. A streamline curvature method for design of supercritical and subcritical airfoils , 1974 .

[8] W. H. Mason,et al. Minimum-Drag Axisymmetric Bodies in the Supersonic/Hypersonic Flow Regimes , 1994 .

[9] Robert W. Walters,et al. Implicit flux-split schemes for the Euler equations , 1985 .

[10] Lawrence Sirovich,et al. The inverse problem for supersonic airfoils , 1984 .

[11] P. Henne,et al. An inverse transonic wing design method , 1980 .