Incomplete sensitivities in design and control of fluidic channels

• Autorzy: Mohammadi B. , Santiago J.
• Konferencja: Optimal design of materials and structures OPTY-2001 (August 27-29, 2001 ; Poznań ; Polska)
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fluidic channels; control; design

PL

kontrola; konstrukcja

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2003
• Tom: Vol. 10, No. 2
• Strony: 201--210
• Opis fizyczny: Bibliogr. 11 poz., rys., wykr.

Twórcy

autor

Mohammadi B.

• Montpellier University, Math. Dept., 34090 Montpellier, France

autor

Santiago J.

• Stanford University. Mechanical Engineering Dept. CS 94305-3032, USA

Bibliografia

• [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 Mathématiques de Systémes 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.
• [6] B. Mohammadi. Flow control and shape optimization in aeroelastic configurations. American Inst. Aero. Astro., 99-0182, 1999.
• [7] B. Mohammadi. Dynamical approaches and incomplete gradients for shape optimization and flow control. American Inst. Aero. Astro., 99-3374, 1999.
• [8] B. Mohammadi, O. Pironneau. Applied Shape Design for Fluids. Oxford Univ. Press, 2001.
• [9] B. Mohammadi, J. Santiago. Simulation and design of extraction and separation fluidic devices, M2AN, 35(3): 513-523, 2001.
• [10] J. Molho, A. Herr, J. Santiago, T. Kenny, R. Brennen, G. Gordon, B. Mohammadi. Optimization of turn geometries for on-chip electrophoresis. Analytical Chemistry, 73(6), 2001.
• [11] R.F. Probstein. Physicochemical Hydrodynamics. Wiley, 1995.