A variational multiscale stabilized finite element method for the solution of the Euler equations of nonhydrostatic stratified flows
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| Title: | A variational multiscale stabilized finite element method for the solution of the Euler equations of nonhydrostatic stratified flows |
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| Authors: | Marras, Simone1 simone.marras@bsc.es, Moragues, Margarida1, Vázquez, Mariano1,2 mariano.vazquez@bsc.es, Jorba, Oriol1, Houzeaux, Guillaume1 |
| Source: | Journal of Computational Physics. Mar2013, Vol. 236, p380-407. 28p. |
| Subjects: | Finite element method, Euler equations, Hydrostatics, Algorithms, Computational fluid dynamics, Buoyancy |
| Abstract: | Abstract: We present a compressible version of the variational multiscale stabilization (VMS) method applied to the finite element (FE) solution of the Euler equations for nonhydrostatic stratified flows. This paper is meant to verify how the algorithm performs when solving problems in the framework of nonhydrostatic atmospheric dynamics. This effort is justified by the previously observed good performance of VMS and by the advantages that a compact Galerkin formulation offers on massively parallel architectures – a paradigm for both computational fluid dynamics (CFD) and numerical weather prediction (NWP) practitioners. We also propose a simple technique to construct a well-balanced approximation of the dominant hydrostatics that, if not properly discretized, may cause unacceptable vertical oscillations. This is a relevant problem in NWP, especially in the proximity of steep topography. To evaluate the performance of the method for stratified environments, six standard 2D and two 3D test cases are selected. Of these, two admit a semi-analytic solution, while the remaining six are non-steady and non-linear thermal problems with dominant buoyancy effects that challenge the algorithm in terms of stability. [Copyright &y& Elsevier] |
| Copyright of Journal of Computational Physics is the property of Academic Press Inc. 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.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 85278751 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A variational multiscale stabilized finite element method for the solution of the Euler equations of nonhydrostatic stratified flows – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Marras%2C+Simone%22">Marras, Simone</searchLink><relatesTo>1</relatesTo><i> simone.marras@bsc.es</i><br /><searchLink fieldCode="AR" term="%22Moragues%2C+Margarida%22">Moragues, Margarida</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Vázquez%2C+Mariano%22">Vázquez, Mariano</searchLink><relatesTo>1,2</relatesTo><i> mariano.vazquez@bsc.es</i><br /><searchLink fieldCode="AR" term="%22Jorba%2C+Oriol%22">Jorba, Oriol</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Houzeaux%2C+Guillaume%22">Houzeaux, Guillaume</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+Physics%22">Journal of Computational Physics</searchLink>. Mar2013, Vol. 236, p380-407. 28p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Euler+equations%22">Euler equations</searchLink><br /><searchLink fieldCode="DE" term="%22Hydrostatics%22">Hydrostatics</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+fluid+dynamics%22">Computational fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Buoyancy%22">Buoyancy</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: We present a compressible version of the variational multiscale stabilization (VMS) method applied to the finite element (FE) solution of the Euler equations for nonhydrostatic stratified flows. This paper is meant to verify how the algorithm performs when solving problems in the framework of nonhydrostatic atmospheric dynamics. This effort is justified by the previously observed good performance of VMS and by the advantages that a compact Galerkin formulation offers on massively parallel architectures – a paradigm for both computational fluid dynamics (CFD) and numerical weather prediction (NWP) practitioners. We also propose a simple technique to construct a well-balanced approximation of the dominant hydrostatics that, if not properly discretized, may cause unacceptable vertical oscillations. This is a relevant problem in NWP, especially in the proximity of steep topography. To evaluate the performance of the method for stratified environments, six standard 2D and two 3D test cases are selected. Of these, two admit a semi-analytic solution, while the remaining six are non-steady and non-linear thermal problems with dominant buoyancy effects that challenge the algorithm in terms of stability. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Computational Physics is the property of Academic Press Inc. 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.jcp.2012.10.056 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 28 StartPage: 380 Subjects: – SubjectFull: Finite element method Type: general – SubjectFull: Euler equations Type: general – SubjectFull: Hydrostatics Type: general – SubjectFull: Algorithms Type: general – SubjectFull: Computational fluid dynamics Type: general – SubjectFull: Buoyancy Type: general Titles: – TitleFull: A variational multiscale stabilized finite element method for the solution of the Euler equations of nonhydrostatic stratified flows Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Marras, Simone – PersonEntity: Name: NameFull: Moragues, Margarida – PersonEntity: Name: NameFull: Vázquez, Mariano – PersonEntity: Name: NameFull: Jorba, Oriol – PersonEntity: Name: NameFull: Houzeaux, Guillaume IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2013 Type: published Y: 2013 Identifiers: – Type: issn-print Value: 00219991 Numbering: – Type: volume Value: 236 Titles: – TitleFull: Journal of Computational Physics Type: main |
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