shape optimization

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2. 3. 1 .x >0 . k=0 2.g H. 3.d: 4: . 5 . k . 4. 5. ... 6. 7. 8. 9. Bezier B-spline NURBS 10. NURBS 11. NURBS 12. 3-D harmonic N-S solver TF3D-NH 2 mixing length] . XFoil . Fine/Turbo . 13. NURBS lower-upper symmetric-gauss-seidel Gaussian elimination . DOE. SQP(.) 14. 15. Advanced Aerodynamic Optimization System for Turbomachinery Bo Chen1 e-mail: b- chen04@mails.tsingh ua.edu.cn Xin Yuan Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Thermal Engineering, Tsinghua University, Beijing 100084, Peoples Republic of China Multigrid-Aided Finite-Difference Progressive Optimization for the Design of Turbomachinery Cascades L.A. Catalano*, A. Dadone, V.S.E. Daloiso Dipartimento di Ingegneria Meccanica e Gestionale, & Centro di Eccellenza in Meccanica Computazionale, Politecnico di Bari, Bari, Italy catalano@poliba.it Mohammadi, B., Pironneau, O., 2001: Applied shape optimization for fluids. Oxford Science Publications, Clarendon Press. --------- 1997: A new optimal shape design procedure for inviscid and viscous turbulent flows. Int. J. Numer. Meth. Fluids 25:183203. Catalano, L. A., Dadone, A., Daloiso, V.S.E., 2005: Progressive optimization on unstructured grids using multigridaided finite-difference sensitivities. International Journal For Numerical Methods In Fluids, Vol. 47, Issue 10-11, pp. 1383-1391. AERODYNAMIC AND AEROMECHNIC BLADING DESIGN OPTIMIZATION USING HARMONIC PERTURBATION METHODS H-D Li, L. He Durham University School of Engineering Durham DH1 3LE, UK Y-S Li, R. Wells Siemens Industrial Turbomachinery Ltd. Ruston House PO Box 1 Waterside South Lincoln LN5 7FD, UK