dc.contributor.author Tveit, Svenn eng dc.date.accessioned 2011-11-10T10:23:10Z dc.date.available 2011-11-10T10:23:10Z dc.date.issued 2011-06-01 eng dc.date.submitted 2011-06-01 eng dc.identifier.uri https://hdl.handle.net/1956/5176 dc.description.abstract When simulating two-phase flow in a porous medium, numerical methods are used to solve the equations of flow, called conservation laws. In the industry, this is done by a reservoir simulator, and the most widely used method is the Upstream Mobility scheme. It is useful to compare how this scheme solves the flow problem against academically accepted schemes, like Godunov's method and Engquist-Osher's method. To gain knowledge on the numerical approximations, the theory behind must be known, especially when dealing with spatial discontinuities. Only then will a comparision between numerical results be applicable for physical models. In this thesis we have investigated the theory of conservation laws with discontinuous flux functions, introduced a new scheme for this problem, Local Lax-Friedrichs, and compared the Upstream Mobility scheme against the Godunov, Engquist-Osher and Local Lax-Friedrichs scheme. en_US dc.format.extent 1970305 bytes eng dc.format.mimetype application/pdf eng dc.language.iso eng eng dc.publisher The University of Bergen en_US dc.title Numerical Methods for Conservation Laws with a Discontinuous Flux Function en_US dc.type Master thesis dc.rights.holder Copyright the author. All rights reserved en_US dc.description.localcode MAMN-PETR dc.description.localcode PTEK399 dc.subject.nus 752223 eng dc.subject.nsi VDP::Technology: 500::Rock and petroleum disciplines: 510 en_US dc.subject.nsi VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413 en_US fs.subjectcode PTEK399
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