دورية أكاديمية
Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems
| العنوان: | Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems |
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| المؤلفون: | Garg, Vikram V., Prudhomme, Serge, van der Zee, Kris G., Carey, Graham F. |
| بيانات النشر: | Springer |
| سنة النشر: | 2014 |
| المجموعة: | École Polytechnique de Montréal: PolyPublie |
| مصطلحات موضوعية: | 2107 Modélisation, simulation et méthodes des éléments finis, 2203 Modélisation et simulation, 2951 Mécanique des milieux continus, 2955 Analyse numérique, 2960 Modélisation mathématique |
| الوصف: | 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. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | text |
| اللغة: | English |
| العلاقة: | https://publications.polymtl.ca/4878/1/2014_Garg_Adjoint-Consistent_formulations_slip_models_coupled.pdfTest; 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). |
| DOI: | 10.1186/s40323-014-0015-3 |
| الإتاحة: | https://doi.org/10.1186/s40323-014-0015-3Test https://publications.polymtl.ca/4878Test/ https://publications.polymtl.ca/4878/1/2014_Garg_Adjoint-Consistent_formulations_slip_models_coupled.pdfTest |
| حقوق: | cc_by |
| رقم الانضمام: | edsbas.C2EB7EC0 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1186/s40323-014-0015-3 |
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