Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow
In turbulent flow, the normal procedure has been seeking means u¯ of the fluid velocity u rather than the velocity itself. In large eddy simulation, we use an averaging operator which allows for the separation of large- and small-length scales in the flow field. The filtered field u¯ denotes the edd...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X03301111 |
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| _version_ | 1850209964175392768 |
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| author | Meryem Kaya |
| author_facet | Meryem Kaya |
| author_sort | Meryem Kaya |
| collection | DOAJ |
| description | In turbulent flow, the normal procedure has been seeking means u¯ of the fluid velocity u rather than the velocity itself. In large eddy simulation, we use an averaging operator which allows for the separation of large- and small-length scales in the flow field. The filtered field u¯ denotes the eddies of size O(δ) and larger. Applying local spatial averaging operator with averaging radius δ to the Navier-Stokes equations gives a new system of equations governing the large scales. However, it has the well-known problem of closure. One approach to the closure problem which arises from averaging the nonlinear term is the use of a scale similarity hypothesis. We consider one such scale similarity model. We prove the existence of weak solutions for the resulting system. |
| format | Article |
| id | doaj-art-9791a46bb3004786866d817b4a7504e9 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9791a46bb3004786866d817b4a7504e92025-08-20T02:09:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422003-01-012003942944610.1155/S1110757X03301111Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flowMeryem Kaya0Department of Mathematics, Faculty of Arts and Sciences, Gazi University, Teknikokullar, Ankara 06500, TurkeyIn turbulent flow, the normal procedure has been seeking means u¯ of the fluid velocity u rather than the velocity itself. In large eddy simulation, we use an averaging operator which allows for the separation of large- and small-length scales in the flow field. The filtered field u¯ denotes the eddies of size O(δ) and larger. Applying local spatial averaging operator with averaging radius δ to the Navier-Stokes equations gives a new system of equations governing the large scales. However, it has the well-known problem of closure. One approach to the closure problem which arises from averaging the nonlinear term is the use of a scale similarity hypothesis. We consider one such scale similarity model. We prove the existence of weak solutions for the resulting system.http://dx.doi.org/10.1155/S1110757X03301111 |
| spellingShingle | Meryem Kaya Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow Journal of Applied Mathematics |
| title | Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow |
| title_full | Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow |
| title_fullStr | Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow |
| title_full_unstemmed | Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow |
| title_short | Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow |
| title_sort | existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow |
| url | http://dx.doi.org/10.1155/S1110757X03301111 |
| work_keys_str_mv | AT meryemkaya existenceofweaksolutionsforascalesimilaritymodelofthemotionoflargeeddiesinturbulentflow |