dc.contributor.author Garg, Vikram V dc.contributor.author Prudhomme, Serge dc.contributor.author van der Zee, Kris G dc.contributor.author Carey, Graham F dc.date.accessioned 2016-02-25T12:40:18Z dc.date.available 2016-02-25T12:40:18Z dc.date.issued 2014-09-27 dc.identifier.citation Garg VV, Prudhomme S, van der Zee KG, Carey GF (2014) Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems. Advanced Modeling and Simulation in Engineering Sciences 1. Available: http://dx.doi.org/10.1186/s40323-014-0015-3. dc.identifier.issn 2213-7467 dc.identifier.doi 10.1186/s40323-014-0015-3 dc.identifier.uri http://hdl.handle.net/10754/597467 dc.description.abstract 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. dc.description.sponsorship Vikram Garg is grateful for the support of the Bruton fellowship and the University Continuing fellowship from The University of Texas at Austin. Kris van der Zee is grateful for the support of this work by the 2010 NWO Innovational Research Incentives Scheme (IRIS) Grant 639.031.033. Serge Prudhomme is sponsored by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada. Serge Prudhomme is also a participant of the KAUST SRI center for Uncertainty Quantification in Computational Science and Engineering. dc.publisher Springer Nature dc.title Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems dc.type Article dc.identifier.journal Advanced Modeling and Simulation in Engineering Sciences dc.contributor.institution Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA dc.contributor.institution Ecole Polytechnique de Montréal, C.P. 6079, succ. Centre-Ville, Montréal, Canada dc.contributor.institution The University of Nottingham, Nottingham, UK dc.contributor.institution The University of Texas at Austin, 1 University Station, C0200 Austin, USA dc.date.published-online 2014-09-27 dc.date.published-print 2014-12
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