Shema usrednjenja prijenosa za zakone sačuvanja

Budiša, Ana

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master's thesis

Shema usrednjenja prijenosa za zakone sačuvanja

Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:187592

Budiša, Ana

University of Zagreb
Faculty of Science
Department of Mathematics

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APA 6th Edition

Budiša, A. (2016). Shema usrednjenja prijenosa za zakone sačuvanja (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:187592

MLA 8th Edition

Budiša, Ana. "Shema usrednjenja prijenosa za zakone sačuvanja." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:187592

Chicago 17th Edition

Budiša, Ana. "Shema usrednjenja prijenosa za zakone sačuvanja." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:187592

Harvard

Budiša, A. (2016). 'Shema usrednjenja prijenosa za zakone sačuvanja', Master's thesis, University of Zagreb, Faculty of Science, accessed 05 May 2024, https://urn.nsk.hr/urn:nbn:hr:217:187592

Vancouver

Budiša A. Shema usrednjenja prijenosa za zakone sačuvanja [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 May 05] Available at: https://urn.nsk.hr/urn:nbn:hr:217:187592

IEEE

A. Budiša, "Shema usrednjenja prijenosa za zakone sačuvanja", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:187592

Cite this item: https://urn.nsk.hr/urn:nbn:hr:217:187592

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Metadata

Title	Shema usrednjenja prijenosa za zakone sačuvanja
Author	Ana Budiša
Mentor	Boris Muha (mentor)
Committee member	Boris Muha (predsjednik povjerenstva)
Committee member	Dijana Ilišević (član povjerenstva)
Committee member	Filip Najman (član povjerenstva)
Committee member	Ljiljana Arambašić (član povjerenstva)
Granter	University of Zagreb Faculty of Science (Department of Mathematics) Zagreb
Defense date and country	2016-07-18, Croatia
Scientific / art field, discipline and subdiscipline	NATURAL SCIENCES Mathematics
Abstract	Zakoni sačuvanja opisuju brojne prirodne pojave, između ostalog tok u poroznoj sredini (Buckley-Leverettove jednadžbe). U ovom diplomskom radu opisat ćemo nedavno uvedenu numeričku metodu za zakone sačuvanja te dokazati konvergenciju metode prema entropijskom rješenju. Metoda povezuje suvremene s poznatim tehnikama iz tog područja, poput kinetičke formulacije i entropijskih uvjeta. Opisno govoreći, osnova metode je pretvaranje nelinearne jednadžbe skalarnog zakona sačuvanja u linearnu (kinetičku) jednadžbu. Usrednjavanjem rješenja linearne jednadžbe dobiva se dopustivo entropijsko rješenje inicijalnog problema. Na kraju dajemo numeričku implementaciju metode na poznatim problemima Burgersove i Buckley-Leverettove jednadžbe.
Abstract (english)	Scalar conservation laws are key in modelling different natural phenomena, for example two-phase flow in porous media (Buckley-Leverett equations). In this thesis a new numerical method for conservation laws is described and it is proven that the solution given by this method converges to the entropy solution. This method includes both modern and classic methods for solving conservation laws, such as entropy conditions in method of characteristics and kinetic formulation. Basic idea is to make a linear (kinetic) equation from a nonlinear homogeneous conservation law and then average out the solution to get the entropy admissible solution of the initial problem. We also provide numerical examples of implementing the described method on Burgers’ equation and Buckley-Leverett equation.
Keywords
Keywords (english)
Language	croatian
URN:NBN	urn:nbn:hr:217:187592
Study programme	Title: Applied Mathematics Study programme type: university Study level: graduate Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Repository	Repository of the Faculty of Science
Created on	2017-06-09 11:40:24

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