Discrete adjoint-based approach for optimization problems on three-dimensional unstructured meshes

AIAA Journal

Volumn 45, Issue 4, 2007, Pages 740-750

  Mavriplis, Dimitri J ^a,b,c  

^a UNIVERSITY OF WYOMING   (United States)

^b Department of Mechanical Engineering ^*

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE ADJOINT METHODS; DRAG REDUCTION PROBLEM; MESH MOTION EQUATIONS; MINIMAL MEMORY;

CONVERGENCE OF NUMERICAL METHODS; EQUATIONS OF MOTION; LINEARIZATION; NAVIER STOKES EQUATIONS; OPTIMIZATION; PROBLEM SOLVING; SENSITIVITY ANALYSIS;

AERODYNAMICS;

EID: 34247324726     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.22743     Document Type: Article

References (27)

1. Jameson, A., "Aerodynamic Shape Optimization Using the Adjoint Method," VKI Lecture Series on Aerodynamic Drag Prediction and Reduction, von Karman Institute of Fluid Dynamics, Rhode St. Genese, Belgium.
2. Jameson, A., Alonso, J. J., Reuther, J. J., Martinelli, L., and Vassberg, J. C., "Aerodynamic Shape Optimization Techniques Based on Control Theory," AIAA Paper 98-2538, 1998.
3. Nielsen, E. J., and Anderson, W. K., "Recent Improvements in Aerodynamic Optimization on Unstructured Meshes," AIAA Journal, Vol. 40, No. 6, June 2002, pp. 1155-1163.
4. Elliot, J., and Peraire, J., "Practical Three-Dimensional Aerodynamic Design by Optimization," AIAA Journal, Vol. 35, No. 9, 1997. pp. 1479-1485.
5. Soto, R. L. O., and Yang, C., "An Adjoint-Based Design Methodology for CFD Optimization Problems," AIAA Paper 2003-0299, 2003.
6. Giles, M. B., Duta, M. C., Muller, J. D., and Pierce, N. A., "Algorithm Developments for Discrete Adjoint Methods," AIAA Journal, Vol. 41, No. 2, Feb. 2003, pp. 198-205.
7. Li, S., and Petzold, L., "Adjoint Sensitivity Analysis for Time-Dependent Partial Differential Equations with Adaptive Mesh Refinement," Journal of Computational Physics, Vol. 198, No. 1, 2004, pp. 310-325.
8. Thomas, J. P., Hall, K. C., and Dowell, E. H., "Discrete Adjoint Approach for Modeling Unsteady Aerodynamic Design Sensitivities," AIAA Journal, Vol. 43, No. 9, 2005, pp. 1931-1936.
9. Nielsen, E. J., and Park, M., "Using an Adjoint Approach to Eliminate Mesh Sensitivities in Computational Design," AIAA Journal, Vol. 44, No. 5, May 2006, pp. 948-953.
10. Mavriplis, D. J., "Formulation and Solution of the Discrete Adjoint for Optimization Problems on Unstructured Meshes," AIAA Journal, Vol. 44, No. 1, Jan. 2006, pp. 42-50.
11. Mavriplis, D. J., "Directional Agglomeration Multigrid Techniques for High-Reynolds Number Viscous Flow Solvers," AIAA Journal, Vol. 37, No. 10, Oct. 1999, pp. 1222-1230.
12. Mavriplis, D. J., and Pirzadeh, S., "Large-Scale Parallel Unstructured Mesh Computations for 3D High-Lift Analysis," Journal of Aircraft, Vol. 36, No. 6, Dec. 1999, pp. 987-998.
13. Bischof, C., Carle, A., Khademi, P., and Mauer, A., "The ADIFOR 2.0 System for the Automatic Differentiation of Fortran 77 Programs," Rice University, TR CRPC-TR94491, Center for Research on Parallel Computation, 1994.
14. Batina, J. T., "Unsteady Euler Airfoil Solutions Using Unstructured Dynamic Meshes," AIM Journal, Vol. 28, No. 8, 1990, pp. 1381-1288.
15. Venkatakrishnan, V., and Mavriplis, D. J., "Implicit Method for the Computation of Unsteady Flows on Unstructured Grids," Journal of Computational Physics, Vol. 127, No. 2, Sept. 1996, pp. 380-397.
16. Degand, C., and Farhat, C., "A Three-Dimensional Torsional Spring Analogy Method for Unstructured Dynamic Meshes," Computers and Structures, Vol. 80, Nos. 3-4, Feb. 2002, pp. 305-316.
17. Baker, T. J., "Mesh Movement and Metamorphosis," Engineering with Computers, Vol. 18, No. 3, 2002, pp. 188-198.
18. Yang, Z., and Mavriplis, D. J., "Unstructured Dynamic Meshes with Higher-Order Time Integration Schemes for the Unsteady Navier-Stokes Equations," AIAA Paper 2005-1222, 2005.
19. Nielsen, E. J., Lu, J., Park, M. A., and Darmofal, D. L., "An Implicit Exact Dual Adjoint Solution Method for Turbulent Flows on Unstructured Grids," Computers and Fluids, Vol. 33, No. 9, Nov. 2004, pp. 1131-1155.
20. Mavriplis, D. J., "An Assessment of Linear Versus Non-Linear Multigrid Methods for Unstructured Mesh Solvers," Journal of Computational Physics, Vol. 175, Jan. 2002, pp. 302-325.
21. Mavriplis, D. J., "Multigrid Strategies for Viscous Flow Solvers on Anisotropic Unstructured Meshes," Journal of Computational Physics, Vol. 145, No. 1, Sept. 1998, pp. 141-165.
22. Hirsch, C., Numerical Computation of Internal and External Flows, Volume II: Computational Methods for Inviscid and Viscous Flows, Wiley, New York, 1988.
23. Nielsen, E. J., and Kleb, W., "Efficient Construction of Discrete Adjoint Operators on Unstructured Grids Using Complex Variables," AIAA Journal, Vol. 44, No. 4, April 2006, pp. 827-836.
24. Spalart, P. R., and Allmaras, S. R., "A One-Equation Turbulence Model for Aerodynamic Flows," La Recherche Áerospatiale, Vol. 1, 1994, pp. 5-21.
25. Laflin, K., Brodersen, O., Rakowitz, M., Vassberg, J., Wahls, R., and Morrison, J., "Summary of Data from the Second AIAA CFD Drag Prediction Workshop," AIAA Paper 2004-0555, 2004.
26. Laflin, K. R., Klausmeyer, S. M., Zickuhr, T., Vassberg, J. C., Wahls, R. A., Morrison, J. H., Brodersen, O. P., Rakowitz, M. E., Tinoco, E. N., and Godard, J.-L., "Data Summary from the Second AIAA Computational Fluid Dynamics Drag Prediction Workshop," Journal of Aircraft, Vol. 42, No. 5, 2005, pp. 1165-1178.
27. Pirzadeh, S., "Three-Dimensional Unstructured Viscous Grids by the Advancing-Layers Method," AIAA Journal, Vol. 34, No. 1, 1996, pp. 43-49.