Control Theory based Shape Design for the Incompressible Navier-Stokes Equations

International Journal of Computational Fluid Dynamics

Volumn 17, Issue 6, 2003, Pages 499-514

  Cowles, G ^a   Martinelli, L ^a  

^a Princeton University   (United States)

Author keywords

Adjoint; Incompressible; Navier Stokes; RANS; Sails; Shape design

Indexed keywords

SHAPE DESIGN;

ALGORITHMS; CONTROL THEORY; FINITE DIFFERENCE METHOD; NAVIER STOKES EQUATIONS; PRESSURE DISTRIBUTION; TURBULENT FLOW; VISCOUS FLOW;

INCOMPRESSIBLE FLOW;

EID: 0242403078     PISSN: 10618562     EISSN: None     Source Type: Journal    
DOI: 10.1080/10618560310001614773     Document Type: Article

References (17)

1. Alonso, J. and Jameson, A. (1996) "Automatic Aerodynamic Optimization on Distributed Memory Architectures", AIAA paper 96-0409, AIAA 34th Aerospace Sciences Meeting, Reno, NV.
2. Baldwin, B.S. and Lomax, H. (1978) "Thin Layer Approximation and Algebraic Model for Separated Turbulent Flows", AIAA Paper 78-257, AIAA 16th Aerospace Sciences Meeting, Reno, NV.
3. Baysal, O. and Eleshaky, M.E. (1992) "Aerodynamic design optimization using sensitivity analysis and computational fluid dynamics", AIAA J. 30(3), 718-725.
4. Cabuk, H. and Modi, V. (1992) "Optimum plan diffusers in laminar flow", J. Fluid Mech. 237, 373-393.
5. Chorin, A. (1967) "A numerical method for solving incompressible viscous flow problems", J. Comput. Phys. 2, 12-26.
6. Gresho, P.M. (1991) "Incompressible fluid dynamics: some fundamental formulation issues", Annu. Rev. Fluid Mech. 23, 413-453.
7. Huan, J. and Modi, V. (1995) "Design of minimum drag bodies in incompressible laminar flow", ASME CFD Des. Optimization 232, 37-44.
8. Jameson, A. (1985) "Multigrid algorithms for compressible flow calculations", In Second European Conference on Multigrid Methods, Cologne Princeton University Report MAE 1743.
9. Jameson, A. (1995) "Optimum Aerodynamic Design Using CFD and Control-Theory", Proceedings, 12th Computational Fluid Dynamics Conference, San Diego, California.
10. Jameson, A., Martinelli, L. and Pierce, N. (1998) "Optimum aerodynamic design using the Navier-Stokes equations", J. Theoretical Comput. Fluid Dynamics 10, 213-237.
11. Martinelli, L. and Jameson, A. (1988) "Validation of a multigrid method for the Reynolds averaged equations", AIAA paper 88-0414.
12. Peyret, R. and Taylor, T.D. (1985) Computational Methods for Fluid Flow (Springer, Berlin).
13. Pironneau, O. (1984) Optimal Shape Design for Elliptic Systems (Springer, New York).
14. Pironneau, O. (1994) "Optimal Shape Design for Aerodynamics", AGARD REPORT 803.
15. Reuther, J., Jameson, A., Farmer, J., Martinelli, L. and Saunders, D. (1996) "Aerodynamic Shape Optimization of Complex Aircraft Configurations via an Adjoint Formulation", AIAA Paper 96-0094, AIAA 34th Aerospace Sciences Meeting, Reno, NV.
16. Rizzi, A. and Eriksson, L. (1985) "Computation of inviscid incompressible flow with rotation", J. Fluid Mech. 153, 275-312.
17. Soto, O. and Löhner, R. (2000) "CFD Shape Optimization Using an Incomplete-Gradient Adjoint Formulation" European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), Barcelona.