Cristin-resultat-ID: 1803030
Sist endret: 31. januar 2021 15:36
NVI-rapporteringsår: 2020
Resultat
Vitenskapelig artikkel
2020

An implicit local time-stepping method based on cell reordering for multiphase flow in porous media

Bidragsytere:
  • Gaute Linga
  • Olav Møyner
  • Halvor Møll Nilsen
  • Moncorgé Arthur og
  • Knut-Andreas Lie

Tidsskrift

Journal of Computational Physics: X
ISSN 2590-0552
e-ISSN 2590-0552
NVI-nivå 2

Om resultatet

Vitenskapelig artikkel
Publiseringsår: 2020
Publisert online: 2020
Volum: 6
Artikkelnummer: 100051
Open Access

Importkilder

Scopus-ID: 2-s2.0-85081966083

Klassifisering

Vitenskapsdisipliner

Matematisk modellering og numeriske metoder

Beskrivelse Beskrivelse

Tittel

An implicit local time-stepping method based on cell reordering for multiphase flow in porous media

Sammendrag

We discuss how to introduce local time-step refinements in a sequential implicit method for multiphase flow in porous media. Our approach relies heavily on causality-based optimal ordering, which implies that cells can be ordered according to total fluxes after the pressure field has been computed, leaving the transport problem as a sequence of ordinary differential equations, which can be solved cell-by-cell or block-by-block. The method is suitable for arbitrary local time steps and grids, is mass-conservative, and reduces to the standard implicit upwind finite-volume method in the case of equal time steps in adjacent cells. The method is validated by a series of numerical simulations. We discuss various strategies for selecting local time steps and demonstrate the efficiency of the method and several of these strategies by through a series of numerical examples.

Bidragsytere

Gaute Linga

  • Tilknyttet:
    Forfatter
    ved Mathematics and Cybernetics ved SINTEF AS

Olav Møyner

  • Tilknyttet:
    Forfatter
    ved Mathematics and Cybernetics ved SINTEF AS

Halvor Møll Nilsen

  • Tilknyttet:
    Forfatter
    ved Mathematics and Cybernetics ved SINTEF AS

Moncorgé Arthur

  • Tilknyttet:
    Forfatter
    ved TOTAL
Aktiv cristin-person

Knut-Andreas Lie

  • Tilknyttet:
    Forfatter
    ved Mathematics and Cybernetics ved SINTEF AS
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