dc.contributor.author | Hafver, Jørn | eng |
dc.date.accessioned | 2008-10-09T08:55:42Z | |
dc.date.available | 2008-10-09T08:55:42Z | |
dc.date.issued | 2008 | eng |
dc.identifier.uri | https://hdl.handle.net/1956/2791 | |
dc.description.abstract | Parabolic advection-diffusion equations arise when modelling flow in porous media. We will in this thesis discuss two different problem set-ups from which these types of equations arise. - Groundwater contamination with diffusion/dispersion. - Fractional-flow formulation of immiscible two-phase flow. Streamline methods equipped with time-off-light coordinates are attractive alternatives or supplements to traditional solution methods of advection diffusion equations. This is particulary the case when cross-streamline diffusive effects can be neglected. In this case the possibly 3-dimensional equations can be reduced to 1-dimensional equations along the streamlines . If cross-streamline effects need to be taken into account, these effects can be simulated on background grids through mappings which introduce significant numerical diffusion. We propose a method to take care of the cross-streamline diffusive effects along normallines in 2D. It is based on operator splitting, reducing the 2D equations to 1-dimensional equations along streamlines and normallines. | en_US |
dc.language.iso | eng | eng |
dc.publisher | The University of Bergen | en_US |
dc.title | Streamline methods for parabolic differential equations. | en_US |
dc.type | Master thesis | |
dc.rights.holder | The author | en_US |
dc.rights.holder | Copyright the author. All rights reserved | en_US |
dc.subject.nsi | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410 | nob |