Abstract
An efficient inverse design method based on the direct surface transpiration concept has been presented. The results indicate its rapid convergence — after about 30 design iterations the target pressure is accurately matched. These are only 3 times more multigrid iterations than required for an analysis run. The method is also robust in the case of ill-posed pressure distribution. The design process of course does not converge, but the prescribed pressure is matched as close as physically possible. As an advantage, because the design part is separated from the flow solver, the present method can easily be implemented into a standard CFD code.
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6. References
Dulikravich, G.S.: Shape Inverse Design and Optimization for Three-Dimensional Aerodynamics. AIAA paper 95-0695, 1995.
Leonard, O.: Subsonic and Transonic Cascade Design. AGARD-R-780, pp. 7.1–7.18, 1990.
Leonard, O.; Van den Braembussche, R.A.: Design Method for Subsonic and Transonic Cascade with Prescribed Mach Number Distribution. ASME Paper 91-GT-18, 1991.
Wang, Z.; Dulikravich, G.S.: Inverse Shape Design of Turbomachinery Airfoils Using Navier-Stokes Equations. AIAA paper 95-0304, 1995.
Whittfield, D.L.; Janus, J.M.: Three-Dimensional Unsteady Euler Equations Solution Using Flux Vector Splitting. AIAA paper 84-1552, 1984.
Rieger, H.; Jameson, A.: Solution of Steady Three-Dimensional Compressible Euler and Navier-Stokes Equations by an Implicit LU Scheme. AIAA paper 88-0619, 1988.
Blazek, J.: Investigations of the Implicit LU-SSOR Scheme. DLR-FB 93-51, 1993.
Blazek, J.: A Multigrid LU-SSOR Scheme for the Solution of Hypersonic Flow Problems. AIAA paper 94-0062, 1994.
Jameson, A.; Schmidt, W.; Turkel, E.: Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes. AIAA paper 81-1259, 1981.
Van Leer, B.: Flux-Vector Splitting for the Euler Equations. Technical Report 82-30, ICASE, 1982.
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© 1997 Springer-Verlag
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Blazek, J. (1997). A fast inverse design method based on direct surface transpiration concept. In: Kutler, P., Flores, J., Chattot, JJ. (eds) Fifteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107120
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DOI: https://doi.org/10.1007/BFb0107120
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