Downscaling the 2D Bénard convection equations using continuous data assimilation.
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| Title: | Downscaling the 2D Bénard convection equations using continuous data assimilation. |
|---|---|
| Authors: | Altaf, M.1, Titi, E.2, Gebrael, T.3, Knio, O.1, Zhao, L.4, McCabe, M.1, Hoteit, I.1 ibrahim.hoteit@kaust.edu.sa |
| Source: | Computational Geosciences. Jun2017, Vol. 21 Issue 3, p393-410. 18p. |
| Subjects: | Transport equation, Downscaling (Climatology), Temperature measurements, Sensitivity analysis, Numerical analysis |
| Abstract: | We consider a recently introduced continuous data assimilation (CDA) approach for downscaling a coarse resolution configuration of the 2D Bénard convection equations into a finer grid. In this CDA, a nudging term, estimated as the misfit between some interpolants of the assimilated coarse-grid measurements and the fine-grid model solution, is added to the model equations to constrain the model. The main contribution of this study is a performance analysis of CDA for downscaling measurements of temperature and velocity. These measurements are assimilated either separately or simultaneously, and the results are compared against those resulting from the standard point-to-point nudging approach (NA). Our numerical results suggest that the CDA solution outperforms that of NA, always converging to the true solution when the velocity is assimilated as has been theoretically proven. Assimilation of temperature measurements only may not always recover the true state as demonstrated in the case study. Various runs are conducted to evaluate the sensitivity of CDA to noise in the measurements, the size, and the time frequency of the measured grid, suggesting a more robust behavior of CDA compared to that of NA. [ABSTRACT FROM AUTHOR] |
| Copyright of Computational Geosciences 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.) | |
| Database: | Engineering Source |
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| Items | – Name: Title Label: Title Group: Ti Data: Downscaling the 2D Bénard convection equations using continuous data assimilation. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Altaf%2C+M%2E%22">Altaf, M.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Titi%2C+E%2E%22">Titi, E.</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Gebrael%2C+T%2E%22">Gebrael, T.</searchLink><relatesTo>3</relatesTo><br /><searchLink fieldCode="AR" term="%22Knio%2C+O%2E%22">Knio, O.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Zhao%2C+L%2E%22">Zhao, L.</searchLink><relatesTo>4</relatesTo><br /><searchLink fieldCode="AR" term="%22McCabe%2C+M%2E%22">McCabe, M.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Hoteit%2C+I%2E%22">Hoteit, I.</searchLink><relatesTo>1</relatesTo><i> ibrahim.hoteit@kaust.edu.sa</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computational+Geosciences%22">Computational Geosciences</searchLink>. Jun2017, Vol. 21 Issue 3, p393-410. 18p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Transport+equation%22">Transport equation</searchLink><br /><searchLink fieldCode="DE" term="%22Downscaling+%28Climatology%29%22">Downscaling (Climatology)</searchLink><br /><searchLink fieldCode="DE" term="%22Temperature+measurements%22">Temperature measurements</searchLink><br /><searchLink fieldCode="DE" term="%22Sensitivity+analysis%22">Sensitivity analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We consider a recently introduced continuous data assimilation (CDA) approach for downscaling a coarse resolution configuration of the 2D Bénard convection equations into a finer grid. In this CDA, a nudging term, estimated as the misfit between some interpolants of the assimilated coarse-grid measurements and the fine-grid model solution, is added to the model equations to constrain the model. The main contribution of this study is a performance analysis of CDA for downscaling measurements of temperature and velocity. These measurements are assimilated either separately or simultaneously, and the results are compared against those resulting from the standard point-to-point nudging approach (NA). Our numerical results suggest that the CDA solution outperforms that of NA, always converging to the true solution when the velocity is assimilated as has been theoretically proven. Assimilation of temperature measurements only may not always recover the true state as demonstrated in the case study. Various runs are conducted to evaluate the sensitivity of CDA to noise in the measurements, the size, and the time frequency of the measured grid, suggesting a more robust behavior of CDA compared to that of NA. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computational Geosciences 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10596-017-9619-2 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 18 StartPage: 393 Subjects: – SubjectFull: Transport equation Type: general – SubjectFull: Downscaling (Climatology) Type: general – SubjectFull: Temperature measurements Type: general – SubjectFull: Sensitivity analysis Type: general – SubjectFull: Numerical analysis Type: general Titles: – TitleFull: Downscaling the 2D Bénard convection equations using continuous data assimilation. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Altaf, M. – PersonEntity: Name: NameFull: Titi, E. – PersonEntity: Name: NameFull: Gebrael, T. – PersonEntity: Name: NameFull: Knio, O. – PersonEntity: Name: NameFull: Zhao, L. – PersonEntity: Name: NameFull: McCabe, M. – PersonEntity: Name: NameFull: Hoteit, I. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2017 Type: published Y: 2017 Identifiers: – Type: issn-print Value: 14200597 Numbering: – Type: volume Value: 21 – Type: issue Value: 3 Titles: – TitleFull: Computational Geosciences Type: main |
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