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Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems

Vikram V. Garg, Serge Prudhomme, Kris G. van der Zee and Graham F. Carey

Article (2014)

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Background: Models based on the Helmholtz ‘slip’ approximation are often used for the simulation of electroosmotic flows. The objectives of this paper are to construct adjoint-consistent formulations of such models, and to develop adjoint-based numerical tools for adaptive mesh refinement and parameter sensitivity analysis.

Methods: We show that the direct formulation of the ‘slip’ model is adjoint inconsistent, and leads to an ill-posed adjoint problem. We propose a modified formulation of the coupled ‘slip’ model, which is shown to be well-posed, and therefore automatically adjoint-consistent.

Results: Numerical examples are presented to illustrate the computation and use of the adjoint solution in two-dimensional microfluidics problems.

Conclusions: An adjoint-consistent formulation for Helmholtz ‘slip’ models of electroosmotic flows has been proposed. This formulation provides adjoint solutions that can be reliably used for mesh refinement and sensitivity analysis.

Uncontrolled Keywords

Adjoint techniques; Electroosmosis; Microfluidics; Slip boundary conditions

Subjects: 2100 Mechanical engineering > 2107 Modelling, simulation and finite element methods
2200 Fluid mechanics > 2203 Modelling, simulation
2950 Applied mathematics > 2951 Continuum mechanics
2950 Applied mathematics > 2955 Numerical analysis
2950 Applied mathematics > 2960 Mathematical modelling
Department: Department of Mathematics and Industrial Engineering
Funders: 2010 NWO Innovational Research Incentives Scheme (IRIS) Grant, CRSNG - Découverte
Grant number: 639.031.033
PolyPublie URL: https://publications.polymtl.ca/4878/
Journal Title: Advanced Modeling and Simulation in Engineering Sciences (vol. 1, no. 1)
Publisher: Springer
DOI: 10.1186/s40323-014-0015-3
Official URL: https://doi.org/10.1186/s40323-014-0015-3
Date Deposited: 19 Dec 2022 13:58
Last Modified: 04 Nov 2023 12:43
Cite in APA 7: Garg, V. V., Prudhomme, S., van der Zee, K. G., & Carey, G. F. (2014). Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems. Advanced Modeling and Simulation in Engineering Sciences, 1(1), 15 (29 pages). https://doi.org/10.1186/s40323-014-0015-3


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