3D topology optimization of fluids by the lattice Boltzmann method

Collection of Technical Papers - 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference

Volumn 4, Issue , 2006, Pages 2365-2377

  Pingen, Georg ^a,b,c   Evgrafov, Anton ^a,b   Maute, Kurt ^a,c,d  

^a UNIVERSITY OF COLORADO   (United States)

^b Aerospace Engineering Sciences   (United States)

^c AIAA   (United States)

^d Department of Aerospace Engineering Sciences ^*

Author keywords

[No Author keywords available]

Indexed keywords

NAVIER STOKES EQUATIONS; NUMERICAL METHODS; OPTIMIZATION; POROSITY; REYNOLDS NUMBER;

LATTICE BOLTZMANN METHODS; MACH NUMBERS; TOPOLOGY OPTIMIZATION;

FLUID DYNAMICS;

EID: 33846483759     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2006-7108     Document Type: Conference Paper

References (20)

1. Bendsoe, M. P. and Sigmund, O., Topology Optimization: Theory, Methods, and Applications, Springer-Verlag, Berlin, 2003.
2. Jameson, A., "Aerodynamic Design via Control Theory," Journal of Scientific Computing, Vol. 3, 1988, pp. 233-260.
3. Gunzburger, M. D., Perspectives in Flow Control and Optimization, Advances in Design and Control, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2003.
4. Mohammadi, B. and Pironneau, O., Applied Shape Optimization for Fluids, Numerical Mathematics and Scientific Computation, Oxford University Press, New York, 2001.
5. Borrvall, T. and Petersson, J., "Topology Optimization of Fluids in Stokes Flow," Internat. J. Numer. Methods Fluids, Vol. 41, No. 1, 2003, pp. 77-107.
6. Gersborg-Hansen, A., Sigmund, O., and Haber, R., "Topology Optimization of Channel Flow Problems," Struct. and Multidisc. Optim., 2005, Online, DOI: 10.1007/s00158-004-0508-7.
7. Moos, O., Klimetzek, F. R., and Rossmann, R., "Bionic Optimization of Air-Guiding-Systems," Tech. Rep. SAE International 2004-01-1377, DaimlerChrysler AG, 2004.
8. Evgrafov, A., Pingen, G., and Maute, K., "Topology Optimization of Fluid Problems by the Lattice Boltzmann Method," IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives, edited by M. P. Bendsøe, N. Olhoff, and O. Sigmund, Springer, Netherlands, 2006, pp. 559-568.
9. Pingen, G., Evgrafov, A., and Maute, K., "Topology Optimization of Flow Domains using the Lattice Boltzmann Method," Submitted for publication to: Structural and Multidisciplinary Optimization, 2006.
10. McNamara, G. R. and Zanetti, G., "Use of the Boltzmann Equation to Simulate Lattice-Gas Automata," Phys. Rev. Lett., Vol. 61, No. 20, 1988, pp. 2332-2335.
11. Succi, S., The Lattice Boltzmann Equation: for Fluid Dynamics and Beyond, Numerical Mathematics and Scientific Computation, Oxford University Press, 2001.
12. Chen, S. and Doolen, G. D., "Lattice Boltzmann Method for Fluid Flows," Annu. Rev. Fluid Mech., Vol. 30, 1098, pp. 329-364.
13. He, X. and Lou, L.-S., "A Priori Derivation of the Lattice Boltzmann Equation," Phys. Rev. E, Vol. 55, No. 6, 1997, pp. 6333-6336.
14. Wolf-Gladrow, D. A., Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction, Lecture Notes in Mathematics, Springer, 2000.
15. Spaid, M. A. A. and Phelan, F. R., "Lattice Boltzmann Methods for Modelling Microscale Flow in Fibrous Forous Media," Physics of Fluids, Vol. 9, No. 9, September 1997, pp. 2468-2474.
16. Gill, P. E., Murray, W., and Saunders, M. A., "SNOPT: an SQP Algorithm for Large-Scale Constrained Optimization," SIAM J. Optim., Vol. 12, No. 4, 2002, pp. 979-1006.
17. Svanberg, K., "The Method of Moving Asymptotes - a new Method for Structural Optimization," Internat. J. Numer. Methods Engrg., Vol. 24, No. 2, 1987, pp. 359-373.
18. Mel, R., Yu, D., Shyy, W., and Luo, L.-S., "Force Evaluation in the Lattice Boltzmann Method Involving Curved Geometry," Phys. Rev. E, Vol. 65, No. 4, 2002, pp. 041203:1-041203:14.
19. Li, X. S. and Demmel, J. W., "SuperLU_DIST: A Scalable Distributed-Memory Sparse Direct Solver for Unsymmetric Linear Systems," ACM Trans. Mathematical Software, Vol. 29, No. 2, June 2003, pp. 110-140.
20. Bernaschi, M. and Succi, S., "Accelerated Lattice Boltzmann Scheme for Steady-State Flows," Int. J. Mod, Phys. B, Vol. 17, No. 1-2, 2003, pp. 1-7.