dc.contributor.advisor | Holden, Helge | nb_NO |
dc.contributor.advisor | Natvig, Jostein | nb_NO |
dc.contributor.advisor | Lie, Knut-Andreas | nb_NO |
dc.contributor.author | Røe, Ola Iver | nb_NO |
dc.date.accessioned | 2014-12-19T13:57:22Z | |
dc.date.available | 2014-12-19T13:57:22Z | |
dc.date.created | 2010-09-02 | nb_NO |
dc.date.issued | 2006 | nb_NO |
dc.identifier | 346793 | nb_NO |
dc.identifier | ntnudaim:1359 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/258192 | |
dc.description.abstract | This thesis presents a fast solution strategy for a class of hyperbolic transport equations modelling flow in porous media. The basis of the strategy is discontinuous Galerkin schemes which combined with a numerical flux function creates a one-sided dependency between the elements of the spatial discretisation. We take advantage of the one-sided dependency by viewing the elements and the inter-element fluxes as vertices and edges in a directed graph. With a topological sort of the graph we produce an optimal ordering of the elements, allowing for the discrete global system to be decoupled in a sequence of (non)-linear problems. This way, assembly of the full global system is avoided, reducing implementational complexity, computational costs and memory requirements. The procedure is demonstrated on the time-of-flight equation, a stationary tracer equation, and the saturation equation on triangular and tetrahedral grids. | nb_NO |
dc.language | eng | nb_NO |
dc.publisher | Institutt for matematiske fag | nb_NO |
dc.subject | ntnudaim | no_NO |
dc.subject | SIF3 fysikk og matematikk | no_NO |
dc.subject | Industriell matematikk | no_NO |
dc.title | Discontinuous Galerkin Methods with Optimal Ordering for Fast Reservoir Simulation on General Grids | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 51 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag | nb_NO |