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 |
|---|---|
| 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 |
| ResultId |
1 |
|---|---|
| Header |
edsbas BASE edsbas.C2EB7EC0 855 3 Academic Journal academicJournal 854.518249511719 |
| PLink |
https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsbas&AN=edsbas.C2EB7EC0&custid=s6537998&authtype=sso |
| FullText |
Array
(
[Availability] => 0
)
Array ( [0] => Array ( [Url] => https://doi.org/10.1186/s40323-014-0015-3# [Name] => EDS - BASE [Category] => fullText [Text] => View record in BASE [MouseOverText] => View record in BASE ) ) |
| Items |
Array
(
[Name] => Title
[Label] => Title
[Group] => Ti
[Data] => Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems
)
Array ( [Name] => Author [Label] => Authors [Group] => Au [Data] => <searchLink fieldCode="AR" term="%22Garg%2C+Vikram+V%2E%22">Garg, Vikram V.</searchLink><br /><searchLink fieldCode="AR" term="%22Prudhomme%2C+Serge%22">Prudhomme, Serge</searchLink><br /><searchLink fieldCode="AR" term="%22van+der+Zee%2C+Kris+G%2E%22">van der Zee, Kris G.</searchLink><br /><searchLink fieldCode="AR" term="%22Carey%2C+Graham+F%2E%22">Carey, Graham F.</searchLink> ) Array ( [Name] => Publisher [Label] => Publisher Information [Group] => PubInfo [Data] => Springer ) Array ( [Name] => DatePubCY [Label] => Publication Year [Group] => Date [Data] => 2014 ) Array ( [Name] => Subset [Label] => Collection [Group] => HoldingsInfo [Data] => École Polytechnique de Montréal: PolyPublie ) Array ( [Name] => Subject [Label] => Subject Terms [Group] => Su [Data] => <searchLink fieldCode="DE" term="%222107+Modélisation%22">2107 Modélisation</searchLink><br /><searchLink fieldCode="DE" term="%22simulation+et+méthodes+des+éléments+finis%22">simulation et méthodes des éléments finis</searchLink><br /><searchLink fieldCode="DE" term="%222203+Modélisation+et+simulation%22">2203 Modélisation et simulation</searchLink><br /><searchLink fieldCode="DE" term="%222951+Mécanique+des+milieux+continus%22">2951 Mécanique des milieux continus</searchLink><br /><searchLink fieldCode="DE" term="%222955+Analyse+numérique%22">2955 Analyse numérique</searchLink><br /><searchLink fieldCode="DE" term="%222960+Modélisation+mathématique%22">2960 Modélisation mathématique</searchLink> ) Array ( [Name] => Abstract [Label] => Description [Group] => Ab [Data] => 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. ) Array ( [Name] => TypeDocument [Label] => Document Type [Group] => TypDoc [Data] => article in journal/newspaper ) Array ( [Name] => Format [Label] => File Description [Group] => SrcInfo [Data] => text ) Array ( [Name] => Language [Label] => Language [Group] => Lang [Data] => English ) Array ( [Name] => NoteTitleSource [Label] => Relation [Group] => SrcInfo [Data] => https://publications.polymtl.ca/4878/1/2014_Garg_Adjoint-Consistent_formulations_slip_models_coupled.pdf; 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). ) Array ( [Name] => DOI [Label] => DOI [Group] => ID [Data] => 10.1186/s40323-014-0015-3 ) Array ( [Name] => URL [Label] => Availability [Group] => URL [Data] => https://doi.org/10.1186/s40323-014-0015-3<br />https://publications.polymtl.ca/4878/<br />https://publications.polymtl.ca/4878/1/2014_Garg_Adjoint-Consistent_formulations_slip_models_coupled.pdf ) Array ( [Name] => Copyright [Label] => Rights [Group] => Cpyrght [Data] => cc_by ) Array ( [Name] => AN [Label] => Accession Number [Group] => ID [Data] => edsbas.C2EB7EC0 ) |
| RecordInfo |
Array
(
[BibEntity] => Array
(
[Identifiers] => Array
(
[0] => Array
(
[Type] => doi
[Value] => 10.1186/s40323-014-0015-3
)
)
[Languages] => Array
(
[0] => Array
(
[Text] => English
)
)
[Subjects] => Array
(
[0] => Array
(
[SubjectFull] => 2107 Modélisation
[Type] => general
)
[1] => Array
(
[SubjectFull] => simulation et méthodes des éléments finis
[Type] => general
)
[2] => Array
(
[SubjectFull] => 2203 Modélisation et simulation
[Type] => general
)
[3] => Array
(
[SubjectFull] => 2951 Mécanique des milieux continus
[Type] => general
)
[4] => Array
(
[SubjectFull] => 2955 Analyse numérique
[Type] => general
)
[5] => Array
(
[SubjectFull] => 2960 Modélisation mathématique
[Type] => general
)
)
[Titles] => Array
(
[0] => Array
(
[TitleFull] => Adjoint-consistent formulations of slip models for coupled electroosmotic flow systems
[Type] => main
)
)
)
[BibRelationships] => Array
(
[HasContributorRelationships] => Array
(
[0] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Garg, Vikram V.
)
)
)
[1] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Prudhomme, Serge
)
)
)
[2] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => van der Zee, Kris G.
)
)
)
[3] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Carey, Graham F.
)
)
)
)
[IsPartOfRelationships] => Array
(
[0] => Array
(
[BibEntity] => Array
(
[Dates] => Array
(
[0] => Array
(
[D] => 01
[M] => 01
[Type] => published
[Y] => 2014
)
)
[Identifiers] => Array
(
[0] => Array
(
[Type] => issn-locals
[Value] => edsbas
)
[1] => Array
(
[Type] => issn-locals
[Value] => edsbas.oa
)
)
)
)
)
)
)
|
| IllustrationInfo |