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Topology optimization of fluids in Stokes flow
Abstract
We consider topology optimization of fluids in Stokes flow. The design objective is to minimize a power function, which for the absence of body fluid forces is the dissipated power in the fluid, subject to a fluid volume constraint. A generalized Stokes problem is derived that is used as a base for introducing the design parameterization. Mathematical proofs of existence of optimal solutions and convergence of discretized solutions are given and it is concluded that no regularization of the optimization problem is needed. The discretized state problem is a mixed finite element problem that is solved by a preconditioned conjugate gradient method and the design optimization problem is solved using sequential separable and convex programming. Several numerical examples are presented that illustrate this new methodology and the results are compared to results obtained in the context of shape optimization of fluids. Copyright © 2003 John Wiley & Sons, Ltd.
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Cited by
Topology optimization approaches: A comparative review
Sigmund, O., & Maute, K. (2013) · Structural and Multidisciplinary Optimization · doi:10.1007/s00158-013-0978-6 · Cited by 2,890
Topology optimization for nano‐photonics
Jensen, J. S., & Sigmund, O. (2011) · Laser & Photonics Reviews · doi:10.1002/lpor.201000014 · Cited by 767
Adjoint shape optimization applied to electromagnetic design
Lalau-Keraly, C. M., Bhargava, S., Miller, O. D., & Yablonovitch, E. (2013) · Optics Express · doi:10.1364/oe.21.021693 · Cited by 753
Design optimization of electric vehicle battery cooling plates for thermal performance
Jarrett, A., & Kim, I. Y. (2011) · Journal of Power Sources · doi:10.1016/j.jpowsour.2011.06.090 · Cited by 560
Topology optimisation of biphasic adsorbent beds for gas storage
Amigo, R. C. R., Prado, D. S., Paiva, J. L., Hewson, R. W., & Silva, E. C. N. (2018) · Structural and Multidisciplinary Optimization · doi:10.1007/s00158-018-2117-x · Cited by 13
Metadata
- Authors
- Borrvall, T., & Petersson, J.
- Venue
- International Journal for Numerical Methods in Fluids
- Publisher
- Wiley
- Published
- 2002-12-11
- Volume
- 41
- Issue
- 1
- Pages
- 77-107
- ISSN
- 0271-2091 (ISSN-L)
- 1097-0363
- OpenAlex
- W2143163345
- Cited by
- 1,234
- References
- 0
- FWCI
- 19.78
- Type
- journal article
- Language
- en
- Open access
- closed
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