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Fully implicit WENO schemes on stratigraphic and fully unstructured grids

Abstract

Higher-order spatial discretization has been used by many authors to reduce numerical diffusion and mitigate grid-orientation effects. EOR processes are particularly susceptible to numerical diffusion, since the active chemical substances are often transported by linear or weakly nonlinear waves. Most high-resolution methods reported in the literature are based on explicit temporal discretization, which imposes severe time-step restrictions. Herein, we investigate fully-implicit, second-order WENO schemes on unstructured grids. Accuracy and computational efficiency is compared to a standard first-order scheme for Voronoi and corner-point grids in 2D and 3D for black-oil type and compositional flow models.

Category

Academic chapter/article/Conference paper

Client

  • VISTA / 6366
  • Research Council of Norway (RCN) / 230303
  • Research Council of Norway (RCN) / 244361

Language

English

Author(s)

Affiliation

  • SINTEF Digital / Mathematics and Cybernetics
  • NORCE Norwegian Research Centre AS

Year

2018

Publisher

European Association of Geoscientists and Engineers (EAGE)

Book

ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain

ISBN

978-94-6282-260-3

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