Multimodal method in sloshing
The multimodal method reduces the free-surface sloshing problem to a (modal) system of nonlinear ordinary differential equations. The method was originally proposed for nonimpulsive hydrodynamic loads but, recently, it was successfully extended to the sloshing-induced slamming. In the 50 – 60’s, the...
Збережено в:
| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Нелінійні коливання |
| Теги: |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Multimodal method in sloshing / I.O. Lukovsky, O.M. Tymokha // Нелінійні коливання. — 2015. — Т. 18, № 3. — С. 295-312 — Бібліогр.: 228 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | The multimodal method reduces the free-surface sloshing problem to a (modal) system of nonlinear ordinary differential equations. The method was originally proposed for nonimpulsive hydrodynamic loads but, recently, it was successfully extended to the sloshing-induced slamming. In the 50 – 60’s, the method was employed in the Computational Fluid Dynamics (CFD) but has lost the contest the algorithms of the 90-00’s. Nowadays, the method plays the dual role: firstly, as a unique analytical tool for studying nonlinear sloshing regimes, their stability, and chaos as well as for simulations when traditional CFD fails (e.g., containers with a perforated screen) and, secondly, as a source of the modal systems which are analogies of the Kordeweg – de Vries, Boussinesq etc. equations but for the contained liquid. The paper surveys the state-of-the-art and existing modal systems, specifies open problems. |
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