A progressive optimization for the inverse design of blade profile based on sequential quadratic programming

Abstract

In this paper, the potential-stream function method, a very efficient computational method for the inverse design of two-dimensional compressor blades in transonic flow conditions is presented. By investigating the influence of the prescribed velocity coefficient distribution on the blade surface, it is found that the non-physical solution usually obtained by the general inverse method could be effectively avoided by adjusting the local velocity coefficient distribution. The objective functions were set-up for the leading edge, trailing edge closing problems, and outlet flow angle, respectively, for the numerical optimization on the basis of sequential quadratic programming. The optimum blade profiles with satisfactory performance and reasonable geometric shape can be obtained by this improved optimization method.

Keywords

profile shape leading edge trailing edge optimization sequential quadratic programming

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References

Kaplan

Eyi

Inverse design of compressor cascades. AIAA paper, 2001-0387, 2001.

Fejtek

Jones

Waller

Hansen

A transonic wing inverse design capability for complete aircraft configurations, AIAA paper, 2001-2443, 2001.

Chung

Shim

Lee

K. D.

Inverse design of 3D transonic compressor blade using 3D Navier-Stokes flow physics, AIAA paper 2002-0103, 2002.

Catalano

L. A.

Dadone

Progressive optimization for the inverse design of 2D cascades, AIAA paper, 2000-3204, 2000.

Schimidt

Computation of supercritical compressor and turbine cascade with a design method for transonic flows. J. Eng. Power-TASME, 1980, 102(1), 68–74.

Dunker

Rechter

Starken

Weyer

Redesign and performance analysis of a transonic axial compressor stator and equivalent plane cascades with subsonic controlled diffusion blades. J. Eng. Gas Turb. Power-TASME, 1984, 106(2), 279–287.

Cao

Z. P.

Jin

Liu

J. X.

Wang

Y. G.

Turbomachinery profile design by an improved inverse method based on optimization technique (in Chinese). J. Aerosp. Power, 2004, 8, 484–489.

Cox

S. E.

Haftka

R. T.

Baker

C. A.

Grossman

Mason

W. H.

Watson

L. A.

A comparison of global optimization methods for the design of a highspeed civil transport, J. Glob. Optim., 2001, 21, 415–433.

Secanell

Suleman

Sequential optimization algorithms for aerodynamic shape optimization, AIAA paper, 2004-4631, 2004.

10.

Vanderplaats

Numerical optimization techniques for engineering design: With applications, 1984 (McGraw-Hill, New York).

11.

Catalano

L. A.

Dadone

Daloiso

V. S. E.

Mele

Progressive optimization using orthogonal shape functions and efficient finite-difference sensitivities, AIAA paper, 2003-3961, 2003.

12.

Huang

M.-W.

Arora

J. S.

An implicit sequential quadratic programming method for large scale structural optimization, AIAA paper, 1994-4451-CP, 1994.

13.

Horibata

Transonic cascade design using the implicit function theorem, AIAA paper, 2000-0786, 2000.

14.

Anitescu

On the rate of convergence of sequential quadratic programming with nondifferentiable exact penalty function in the presence of constraint degeneracy., Math. Program, 2002, 92, 359–386.

15.

Jameson

Aerodynamic design via control theory. J. Sci. Comput., 1988, 3, 233–260.

16.

Liu

The application of artificial density scheme of the potential-stream function in blade design. (in Chinese)

J. Aerosp. Power, 1988, 3(3), 223–226.