Academic Journal
Fractional four-step finite element method for analysis of thermally coupled fluid-solid interaction problems.
| Τίτλος: | Fractional four-step finite element method for analysis of thermally coupled fluid-solid interaction problems. |
|---|---|
| Συγγραφείς: | Malatip, A., Wansophark, N., Dechaumphai, P. |
| Πηγή: | Applied Mathematics & Mechanics; Jan2012, Vol. 33 Issue 1, p99-116, 18p |
| Θεματικοί όροι: | Finite element method, Thermal stresses, Fluids, Fractional calculus, Viscous flow, Galerkin methods, Nonlinear equations |
| Περίληψη: | An integrated fluid-thermal-structural analysis approach is presented. In this approach, the heat conduction in a solid is coupled with the heat convection in the viscous flow of the fluid resulting in the thermal stress in the solid. The fractional four-step finite element method and the streamline upwind Petrov-Galerkin (SUPG) method are used to analyze the viscous thermal flow in the fluid. Analyses of the heat transfer and the thermal stress in the solid are performed by the Galerkin method. The second-order semiimplicit Crank-Nicolson scheme is used for the time integration. The resulting nonlinear equations are linearized to improve the computational efficiency. The integrated analysis method uses a three-node triangular element with equal-order interpolation functions for the fluid velocity components, the pressure, the temperature, and the solid displacements to simplify the overall finite element formulation. The main advantage of the present method is to consistently couple the heat transfer along the fluid-solid interface. Results of several tested problems show effectiveness of the present finite element method, which provides insight into the integrated fluid-thermal-structural interaction phenomena. [ABSTRACT FROM AUTHOR] |
| Copyright of Applied Mathematics & Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Βάση Δεδομένων: | Complementary Index |
| FullText | Links: – Type: other Text: Availability: 0 CustomLinks: – Url: https://dx.doi.org/doi:10.1007/s10483-012-1536-9 Name: EDS - Springer Nature Journals (s7799221) Category: fullText Text: View record at Springer |
|---|---|
| Header | DbId: edb DbLabel: Complementary Index An: 99376297 RelevancyScore: 834 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 834.323059082031 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Fractional four-step finite element method for analysis of thermally coupled fluid-solid interaction problems. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Malatip%2C+A%2E%22">Malatip, A.</searchLink><br /><searchLink fieldCode="AR" term="%22Wansophark%2C+N%2E%22">Wansophark, N.</searchLink><br /><searchLink fieldCode="AR" term="%22Dechaumphai%2C+P%2E%22">Dechaumphai, P.</searchLink> – Name: TitleSource Label: Source Group: Src Data: Applied Mathematics & Mechanics; Jan2012, Vol. 33 Issue 1, p99-116, 18p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Thermal+stresses%22">Thermal stresses</searchLink><br /><searchLink fieldCode="DE" term="%22Fluids%22">Fluids</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Viscous+flow%22">Viscous flow</searchLink><br /><searchLink fieldCode="DE" term="%22Galerkin+methods%22">Galerkin methods</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+equations%22">Nonlinear equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: An integrated fluid-thermal-structural analysis approach is presented. In this approach, the heat conduction in a solid is coupled with the heat convection in the viscous flow of the fluid resulting in the thermal stress in the solid. The fractional four-step finite element method and the streamline upwind Petrov-Galerkin (SUPG) method are used to analyze the viscous thermal flow in the fluid. Analyses of the heat transfer and the thermal stress in the solid are performed by the Galerkin method. The second-order semiimplicit Crank-Nicolson scheme is used for the time integration. The resulting nonlinear equations are linearized to improve the computational efficiency. The integrated analysis method uses a three-node triangular element with equal-order interpolation functions for the fluid velocity components, the pressure, the temperature, and the solid displacements to simplify the overall finite element formulation. The main advantage of the present method is to consistently couple the heat transfer along the fluid-solid interface. Results of several tested problems show effectiveness of the present finite element method, which provides insight into the integrated fluid-thermal-structural interaction phenomena. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Applied Mathematics & Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edb&AN=99376297 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10483-012-1536-9 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 18 StartPage: 99 Subjects: – SubjectFull: Finite element method Type: general – SubjectFull: Thermal stresses Type: general – SubjectFull: Fluids Type: general – SubjectFull: Fractional calculus Type: general – SubjectFull: Viscous flow Type: general – SubjectFull: Galerkin methods Type: general – SubjectFull: Nonlinear equations Type: general Titles: – TitleFull: Fractional four-step finite element method for analysis of thermally coupled fluid-solid interaction problems. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Malatip, A. – PersonEntity: Name: NameFull: Wansophark, N. – PersonEntity: Name: NameFull: Dechaumphai, P. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2012 Type: published Y: 2012 Identifiers: – Type: issn-print Value: 02534827 Numbering: – Type: volume Value: 33 – Type: issue Value: 1 Titles: – TitleFull: Applied Mathematics & Mechanics Type: main |
| ResultId | 1 |