Incomplete sensitivities in design and control of fluidic channels

  • Bijan Mohammadi Montpellier University
  • Juan Santiago Stanford University

Abstract

We would like to show how to perform shape optimization and state control at a cost comparable to the one of analysis. To this end, we propose to only use informations available for cost function evaluation and incomplete sensitivities not requiring the solution of the linearized state equation. The application of the method is presented for microfluidic MEMs design and control.

Keywords

References

[1] H. Attouch, R. Cominetti. A dynamical approach to convex minimization coupling approximation with the steepest descent method. J. Differential Equations, 128(2): 519- 540, 1996.
[2] H. Attouch, A. Cabot, M. Masmoudi, B. Mohammadi, P. Redont. Coupling Dynamic Approaches for Global Minimization, ACSIOM preprint. Montpellier, 2000.
[3] A. Cabot. Etude Mathematiques de Systèmes Dynamiques pour Minimisation Globale, PhD Thesis. University of Montpellier, 2001.
[4] C.T. Culbeston, S.C. Jacobson, J . Ramsey. Dispersion sources for compact geometries on microchips, Analytical Chemistry, 70: 3781- 3789, 1998.
[5] B. Mohammadi. Practical Applications to Fluid Flows of Automatic Differentiation for Design Problems. VKI lecture series, 1997-05, 1997.
Published
Jan 27, 2023
How to Cite
MOHAMMADI, Bijan; SANTIAGO, Juan. Incomplete sensitivities in design and control of fluidic channels. Computer Assisted Methods in Engineering and Science, [S.l.], v. 10, n. 2, p. 201-210, jan. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1087>. Date accessed: 13 nov. 2024.
Citation Formats
Issue
Vol 10 No 2 (2003)
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.