NOTE ON THE PROBLEM OF MOTION OF VISCOUS FLUID AROUND A ROTATING AND TRANSLATING RIGID BODY
We consider the linearized and nonlinear systems describing the motion of incompressible flow around a rotating and translating rigid body Ɗ in the exterior domain Ω = ℝ3 \ Ɗ, where Ɗ ⊂ ℝ3 is open and bounded, with Lipschitz boundary. We derive the L∞-estimates for the pressure and investigate the l...
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| Format: | Article |
| Language: | English |
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CTU Central Library
2021-02-01
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| Series: | Acta Polytechnica |
| Subjects: | |
| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/6284 |
| _version_ | 1819315679631769600 |
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| author | Paul Deuring Stanislav Kračmar Šárka Nečasová |
| author_facet | Paul Deuring Stanislav Kračmar Šárka Nečasová |
| author_sort | Paul Deuring |
| collection | DOAJ |
| description | We consider the linearized and nonlinear systems describing the motion of incompressible flow around a rotating and translating rigid body Ɗ in the exterior domain Ω = ℝ3 \ Ɗ, where Ɗ ⊂ ℝ3 is open and bounded, with Lipschitz boundary. We derive the L∞-estimates for the pressure and investigate the leading term for the velocity and its gradient. Moreover, we show that the velocity essentially behaves near the infinity as a constant times the first column of the fundamental solution of the Oseen system. Finally, we consider the Oseen problem in a bounded domain ΩR := BR ∩ Ω under certain artificial boundary conditions on the truncating boundary ∂BR, and then we compare this solution with the solution in the exterior domain Ω to get the truncation error estimate. |
| first_indexed | 2024-12-24T10:03:57Z |
| format | Article |
| id | doaj.art-f1ecd6c82f1f4275ac912776ddab15ba |
| institution | Directory Open Access Journal |
| issn | 1210-2709 1805-2363 |
| language | English |
| last_indexed | 2024-12-24T10:03:57Z |
| publishDate | 2021-02-01 |
| publisher | CTU Central Library |
| record_format | Article |
| series | Acta Polytechnica |
| spelling | doaj.art-f1ecd6c82f1f4275ac912776ddab15ba2022-12-21T17:00:56ZengCTU Central LibraryActa Polytechnica1210-27091805-23632021-02-0161SI51310.14311/AP.2021.61.00053421NOTE ON THE PROBLEM OF MOTION OF VISCOUS FLUID AROUND A ROTATING AND TRANSLATING RIGID BODYPaul Deuring0Stanislav Kračmar1Šárka Nečasová2Université du Littoral Côte d’Opale, Centre Universitaire de la Mi-Voix 50, rue F.Buisson CS 80699, 62228 Calais Cedex, FranceCzech Technical University in Prague, Faculty of Mechanical Engineering, Department of Technical Mathematics, Karlovo nám. 13, 121 35 Praha 2, Czech Republic; Czech Academy of Sciences, Institute of Mathematics, Žitná 25, 11567 Praha 1, Czech RepublicCzech Academy of Sciences, Institute of Mathematics, Žitná 25, 11567 Praha 1, Czech RepublicWe consider the linearized and nonlinear systems describing the motion of incompressible flow around a rotating and translating rigid body Ɗ in the exterior domain Ω = ℝ3 \ Ɗ, where Ɗ ⊂ ℝ3 is open and bounded, with Lipschitz boundary. We derive the L∞-estimates for the pressure and investigate the leading term for the velocity and its gradient. Moreover, we show that the velocity essentially behaves near the infinity as a constant times the first column of the fundamental solution of the Oseen system. Finally, we consider the Oseen problem in a bounded domain ΩR := BR ∩ Ω under certain artificial boundary conditions on the truncating boundary ∂BR, and then we compare this solution with the solution in the exterior domain Ω to get the truncation error estimate.https://ojs.cvut.cz/ojs/index.php/ap/article/view/6284incompressible fluid rigid bodyexterior domainestimates of pressureleading termsartificial boundary conditions |
| spellingShingle | Paul Deuring Stanislav Kračmar Šárka Nečasová NOTE ON THE PROBLEM OF MOTION OF VISCOUS FLUID AROUND A ROTATING AND TRANSLATING RIGID BODY Acta Polytechnica incompressible fluid rigid body exterior domain estimates of pressure leading terms artificial boundary conditions |
| title | NOTE ON THE PROBLEM OF MOTION OF VISCOUS FLUID AROUND A ROTATING AND TRANSLATING RIGID BODY |
| title_full | NOTE ON THE PROBLEM OF MOTION OF VISCOUS FLUID AROUND A ROTATING AND TRANSLATING RIGID BODY |
| title_fullStr | NOTE ON THE PROBLEM OF MOTION OF VISCOUS FLUID AROUND A ROTATING AND TRANSLATING RIGID BODY |
| title_full_unstemmed | NOTE ON THE PROBLEM OF MOTION OF VISCOUS FLUID AROUND A ROTATING AND TRANSLATING RIGID BODY |
| title_short | NOTE ON THE PROBLEM OF MOTION OF VISCOUS FLUID AROUND A ROTATING AND TRANSLATING RIGID BODY |
| title_sort | note on the problem of motion of viscous fluid around a rotating and translating rigid body |
| topic | incompressible fluid rigid body exterior domain estimates of pressure leading terms artificial boundary conditions |
| url | https://ojs.cvut.cz/ojs/index.php/ap/article/view/6284 |
| work_keys_str_mv | AT pauldeuring noteontheproblemofmotionofviscousfluidaroundarotatingandtranslatingrigidbody AT stanislavkracmar noteontheproblemofmotionofviscousfluidaroundarotatingandtranslatingrigidbody AT sarkanecasova noteontheproblemofmotionofviscousfluidaroundarotatingandtranslatingrigidbody |