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...
| Main Authors: | , , , |
|---|---|
| 其他作者: | |
| 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 |