Computation of viscous flows due to an oscillating cylinder of rectangular cross section.
| Thesis title in Czech: | Výpočet proudění vazké tekutiny okolo oscilujícího válce obdélníkového průřezu. |
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| Thesis title in English: | Computation of viscous flows due to an oscillating cylinder of rectangular cross section. |
| Key words: | vazké proudění; metoda fiktivní hranice; |
| English key words: | viscous flows; fictitious boundary method; |
| Academic year of topic announcement: | 2017/2018 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | angličtina |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | RNDr. Jaroslav Hron, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 03.11.2017 |
| Date of assignment: | 03.11.2017 |
| Confirmed by Study dept. on: | 16.01.2018 |
| Date and time of defence: | 26.06.2018 09:00 |
| Date of electronic submission: | 16.05.2018 |
| Date of submission of printed version: | 16.05.2018 |
| Date of proceeded defence: | 26.06.2018 |
| Opponents: | RNDr. Karel Tůma, Ph.D. |
| Advisors: | doc. Dr. Marco La Mantia, Ph.D. |
| Guidelines |
| Student za pomoci existujících softwarových prostředků [3] a metod [2] pro řešení Navier-Stokesových rovnic provede paramterickou studii proudění okolo pohybujícího se válce. V práci budou popsany existující varianty metody fiktivní hranice [4,5], která bude použita pro simulaci pohybujícího objektu v tekutině. Výsledky výpočtů budou porovnány s experimentem provedeným v publikaci [1]. |
| References |
| [1] D. Duda, P. Švančara, M. La Mantia, et al. (2015) Visualization of viscous and quantum flows of liquid 4He due to an oscillating cylinder of rectangular cross section, Physical Review B. 92,.
[2] K. Eriksson, D. Estep, P. Hansbo, C. Johnson: Computational Differential Equations, Cambridge University Press, 1996 [3] Logg, Anders; Mardal, Kent-Andre; Wells, Garth: Automated Solution of Differential Equations by the Finite Element Method (Series: Lecture Notes in Computational Science and Engineering)(Eds.) [4] S. Turek, D. Wan, and L.S. Rivkind (2003) The Fictitious Boundary Method for the Implicit Treatment of Dirichlet Boundary Conditions with Applications to Incompressible Flow Simulations, Challenges in Scientific Computing - CISC 2002. 37–68. [5] D. Shirokoff and J.-C. Nave (2014) A Sharp-Interface Active Penalty Method for the Incompressible Navier–Stokes Equations, Journal of Scientific Computing. 62, 53–77. |