Proračun podzemnog toka metodom konačnih zapremina

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Proračun podzemnog toka metodom konačnih zapremina

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dc.contributor.advisor Jovanović, Boško
dc.contributor.author Dotlić, Milan
dc.date.accessioned 2016-07-01T11:36:25Z
dc.date.available 2016-07-01T11:36:25Z
dc.date.issued 2015
dc.identifier.uri http://hdl.handle.net/123456789/4236
dc.description.abstract The thesis considers numerical methods for the computation of subsurface flow and transport of mass and energy in an anisotropic piecewise continuous medium. This kind of problems arises in hidrology, petroleum engineering, ecology and other fields. Subsurface flow in a saturated medium is described by a linear partial differential equation, while in an unsaturated medium it is described by the Richards nonlinear partial differential equation. Transport of mass and energy is described by advectiondiffusion equations. The thesis considers several finite volume methods for the discretization of diffusive and advective terms. An interpolation method for discretization of diffusion through discontinuous media is presented. This method is applicable to several nonlinear finite volume schemes. The presence of a well in the reservoir determines the subsurface flow to a large extent. Standard numerical methods produce a completely wrong flux and an inaccurate hydraulic head distribution in the well viscinity. Two methods for the well flux correction are introduced in this thesis. One of these methods gives second-order accuracy for the hydraulic head and first-order accuracy for the flux. Explicit and implicit time discretizations are presented. Preservation of the maximum and minimum principles in all considered schemes is analyzed. All considered schemes are tested using numerical examples that confirm teoretical results. en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2016-07-01T11:36:25Z No. of bitstreams: 1 phdDotlic_Milan.pdf: 5137193 bytes, checksum: 598848e1489cde396b38b86875844dbd (MD5) en
dc.description.provenance Made available in DSpace on 2016-07-01T11:36:25Z (GMT). No. of bitstreams: 1 phdDotlic_Milan.pdf: 5137193 bytes, checksum: 598848e1489cde396b38b86875844dbd (MD5) Previous issue date: 2015 en
dc.language.iso sr en_US
dc.publisher Beograd en_US
dc.title Proračun podzemnog toka metodom konačnih zapremina en_US
mf.author.birth-date 1984
mf.author.birth-place Kraljevo en_US
mf.author.birth-country Srbija en_US
mf.author.residence-state Srbija en_US
mf.author.citizenship Srpsko en_US
mf.author.nationality Srbin en_US
mf.subject.area Mathematics en_US
mf.subject.keywords finite volume methods, partial differential equations, Richards equation, mass transport, energy transport, maximum and minimum principle, unstructured mesh en_US
mf.subject.subarea numerical mathematics en_US
mf.contributor.committee Jovanović, Boško
mf.contributor.committee Radunović, Desanka
mf.contributor.committee Vidović, Dragan
mf.university.faculty Mathematical Faculty en_US
mf.document.references 70 en_US
mf.document.pages 124 en_US
mf.document.location Beograd en_US
mf.document.genealogy-project No en_US
mf.university Belgrade University en_US

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