Lagrangeovské metody pro dynamiku kontinua

Hlavním cílem této práce bylo vyvinout novou cell-centered numerickou metodu pro hydrodynamiku v 1D, 2D kartézské a 2D rz cylindrické geometrii a pro problémy elastoplas- ticity v 1D a 2D kartézské geometrii.

This thesis deals with a novel cell-centered numerical scheme for calculating hydrodynamics and elastic-plastic flows in Lagrangian coordinates. The physical fluxes are discretized using the Richtmyer two-step predictor-corrector finite volume formulation of the Lax-Wendroff scheme. To mitigate non-physical oscillations due to LW dispersivity, HLL based artificial dissipation is added to momentum and energy equations. The numerical performance of the method is illustrated on several convergence rate analyses and typical benchmark tests.

Keywords

Lagrangeovská hydrodynamika, elasto-plasticita, Lax–Wendroff, umělá vazkost, zachování symetrie, Lagrangian hydrodynamics, Elasto-plastic flow, Lax–Wendroff, Artificial viscosity, Symmetry preservation

Permanent link

http://hdl.handle.net/10467/106789

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A university thesis is a work protected by the Copyright Act of the Czech Republic. Extracts, copies and transcripts of the thesis are allowed for personal use only and at one`s own expense. The use of thesis should be in compliance with the Copyright Act.

Vysokoškolská závěrečná práce je dílo chráněné autorským zákonem. Je možné pořizovat z něj na své náklady a pro svoji osobní potřebu výpisy, opisy a rozmnoženiny. Jeho využití musí být v souladu s autorským zákonem v platném znění.

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Doctoral Theses - 14000

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Lagrangian methods for continuum dynamics