dc.creator	Březina, Jan
dc.date.accessioned	2019-05-13T05:53:28Z
dc.date.available	2019-05-13T05:53:28Z
dc.date.issued	2019-05-13
dc.description	112 stran	cs
dc.description.abstract	This habilitation thesis summarizes author's theoretical work related to development of the Flow123d simulator. This includes especially methods and algorithms for solving Darcy ow problems in saturated and unsaturated fractured porous media. A model with semi-discrete fractures called mixed dimension model is derived at the beginning. Then the abstract model for advection-di usion equation is applied to the Darcy ow. The mixed-hybrid formulation of the Darcy ow mixed dimension problem is presented followed by its discretization using Raviart-Thomas nite elements. An analytical solution to a test single fracture problem is supplied which allows veri cation of the model's implementation. Finally, the BDDC method is applied to obtain a scalable solver of the linear systems arising from the problem's discretization. Subsequently, new developments for the non-conforming mixed meshes are presented. Four methods with common strategy are used to introduce a coupling between equations living on the intersecting nite element meshes of di erent dimension. Further a family of e cient algorithms for computing mesh intersections is presented. Final chapter is devoted to the Richards' equation and modi cation of the mixed-hybrid scheme in order to satisfy discrete maximum principle. This is of particular importance for the Richards' equation where short time steps are often necessary which leads to strong oscillations for the schemes that violate DMP.	cs
dc.identifier.uri	https://dspace.tul.cz/handle/15240/152261
dc.language.iso	cs	cs
dc.publisher.abbreviation	TUL	cs
dc.rights	Vysokoškolská závěrečná práce je autorské dílo chráněné dle zákona č. 121/2000 Sb., autorský zákon, ve znění pozdějších předpisů. 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 https://www.mkcr.cz/assets/autorske-pravo/01-3982006.pdf a citační etikou https://knihovna.tul.cz/document/26	cs
dc.rights	A university thesis is a work protected by the Copyright Act. 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. https://www.mkcr.cz/assets/autorske-pravo/01-3982006.pdf and the citation ethics https://knihovna.tul.cz/document/26	en
dc.rights.uri	https://knihovna.tul.cz/document/26	cs
dc.title	Transport processes in fractured porous media	cs
local.faculty	Fakulta mechatroniky, informatiky a mezioborových studií	cs

Transport processes in fractured porous media

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