Smoothed Particles Hydrodynamics pro interakci mezi tekutinou a pevnými tělesy
| Název práce v češtině: | Smoothed Particles Hydrodynamics pro interakci mezi tekutinou a pevnými tělesy |
|---|---|
| Název v anglickém jazyce: | Smoothed Particle Hydrodynamics for fluid-structure interactions |
| Klíčová slova: | SPH|FSI|numerické simulace|mechanika tekutin |
| Klíčová slova anglicky: | SPH|FSI|numerical simulations|fluid mechanics |
| Akademický rok vypsání: | 2024/2025 |
| Typ práce: | diplomová práce |
| Jazyk práce: | |
| Ústav: | Matematický ústav UK (32-MUUK) |
| Vedoucí / školitel: | doc. RNDr. Michal Pavelka, Ph.D. |
| Řešitel: | |
| Konzultanti: | RNDr. Jaroslav Hron, Ph.D. |
| Zásady pro vypracování |
| The thesis should consist of the following steps:
1) Review of the SPH method and simple numerical tests using SmoothedParticles.jl framework [2]. 2) Review of paper [1], where an SPH method for both fluids and solids was developed. 3) Review of fluid-structure interaction (FSI) problems in continuum mechanics, for instance the Turek-Hron benchmark. 4) An attempt to simulate an FSI problem using SPH. |
| Seznam odborné literatury |
| [1] O. Kincl, I. Peshkov, M. Pavelka, V. Klika, Unified description of fluids and solids in Smoothed Particle Hydrodynamics, Applied Mathematics and Computation 439(15), 1275792022, 2023.
[2] https://github.com/OndrejKincl/SmoothedParticles.jl |
| Předběžná náplň práce v anglickém jazyce |
| Smoothed Particle Hydrodynamics (SPH) is a mesh-less numerical method that discretizes fluids and solids by seeing them as a collection of macroscopic quasi-particles. The quasi-particles then interact in such a way that they reconstruct behavior of continuous fluids and solids. The method is especially useful for problems with a free boundary, where other numerical methods based on meshes (finite elements and volumes) become complicated.
Recently, we have developed an SPH method suitable for both solids and fluids. A question remains open, however, whether the method could be useful in simulations of fluid-structure interactions. The goal of this thesis is to approach that questions. |