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

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...

全面介紹

書目詳細資料
Main Authors: Prudhomme, Serge, van der Zee, Kris G, Carey, Graham F, Garg, Vikram V.
其他作者: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
格式: Article
語言:English
出版: Springer 2014
在線閱讀:http://hdl.handle.net/1721.1/91145
_version_ 1826195487086084096
author Prudhomme, Serge
van der Zee, Kris G
Carey, Graham F
Garg, Vikram V.
author2 Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
author_facet Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Prudhomme, Serge
van der Zee, Kris G
Carey, Graham F
Garg, Vikram V.
author_sort Prudhomme, Serge
collection MIT
description 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.
first_indexed 2024-09-23T10:13:46Z
format Article
id mit-1721.1/91145
institution Massachusetts Institute of Technology
language English
last_indexed 2024-09-23T10:13:46Z
publishDate 2014
publisher Springer
record_format dspace
spelling mit-1721.1/911452022-09-30T19:44:16Z Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems Prudhomme, Serge van der Zee, Kris G Carey, Graham F Garg, Vikram V. Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Garg, Vikram V. 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. University of Texas at Austin (University Continuing Fellowship) 2014-10-21T19:50:20Z 2014-10-21T19:50:20Z 2014-09 2014-02 2014-10-18T03:03:54Z Article http://purl.org/eprint/type/JournalArticle 2213-7467 http://hdl.handle.net/1721.1/91145 Garg, Vikram V et al. “Adjoint-Consistent Formulations of Slip Models for Coupled Electroosmotic Flow Systems.” Advanced Modeling and Simulation in Engineering Sciences 1.1 (2014): 15. en http://dx.doi.org/10.1186/s40323-014-0015-3 Advanced Modeling and Simulation in Engineering Sciences http://creativecommons.org/licenses/by/4.0 Vikram V Garg et al.; licensee BioMed Central Ltd. application/pdf Springer
spellingShingle Prudhomme, Serge
van der Zee, Kris G
Carey, Graham F
Garg, Vikram V.
Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems
title Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems
title_full Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems
title_fullStr Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems
title_full_unstemmed Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems
title_short Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems
title_sort adjoint consistent formulations of slip models for coupled electroosmotic flow systems
url http://hdl.handle.net/1721.1/91145
work_keys_str_mv AT prudhommeserge adjointconsistentformulationsofslipmodelsforcoupledelectroosmoticflowsystems
AT vanderzeekrisg adjointconsistentformulationsofslipmodelsforcoupledelectroosmoticflowsystems
AT careygrahamf adjointconsistentformulationsofslipmodelsforcoupledelectroosmoticflowsystems
AT gargvikramv adjointconsistentformulationsofslipmodelsforcoupledelectroosmoticflowsystems