• norsk
    • English
  • norsk 
    • norsk
    • English
  • Logg inn
Vis innførsel 
  •   Hjem
  • Fakultet for informasjonsteknologi og elektroteknikk (IE)
  • Institutt for matematiske fag
  • Vis innførsel
  •   Hjem
  • Fakultet for informasjonsteknologi og elektroteknikk (IE)
  • Institutt for matematiske fag
  • Vis innførsel
JavaScript is disabled for your browser. Some features of this site may not work without it.

Discontinuous Galerkin Methods with Optimal Ordering for Fast Reservoir Simulation on General Grids

Røe, Ola Iver
Master thesis
Åpne
346793_FULLTEXT01.pdf (Låst)
346793_COVER01.pdf (Låst)
Permanent lenke
http://hdl.handle.net/11250/258192
Utgivelsesdato
2006
Metadata
Vis full innførsel
Samlinger
  • Institutt for matematiske fag [1394]
Sammendrag
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.
Utgiver
Institutt for matematiske fag

Kontakt oss | Gi tilbakemelding

Personvernerklæring
DSpace software copyright © 2002-2019  DuraSpace

Levert av  Unit
 

 

Bla i

Hele arkivetDelarkiv og samlingerUtgivelsesdatoForfattereTitlerEmneordDokumenttyperTidsskrifterDenne samlingenUtgivelsesdatoForfattereTitlerEmneordDokumenttyperTidsskrifter

Min side

Logg inn

Statistikk

Besøksstatistikk

Kontakt oss | Gi tilbakemelding

Personvernerklæring
DSpace software copyright © 2002-2019  DuraSpace

Levert av  Unit