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A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: High-order computations of viscous fingering instabilities in complex geometry

Publication ,  Journal Article
Scovazzi, G; Huang, H; Collis, SS; Yin, J
Published in: Journal of Computational Physics
November 1, 2013

We present a new approach to the simulation of viscous fingering instabilities in incompressible, miscible displacement flows in porous media. In the past, high resolution computational simulations of viscous fingering instabilities have always been performed using high-order finite difference or Fourier-spectral methods which do not posses the flexibility to compute very complex subsurface geometries. Our approach, instead, by means of a fully-coupled nonlinear implementation of the discontinuous Galerkin method, possesses a fundamental differentiating feature, in that it maintains high-order accuracy on fully unstructured meshes. In addition, the proposed method shows very low sensitivity to mesh orientation, in contrast with classical finite volume approximation used in porous media flow simulations. The robustness and accuracy of the method are demonstrated in a number of challenging computational problems. © 2013 Elsevier Inc.

Duke Scholars

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

November 1, 2013

Volume

252

Start / End Page

86 / 108

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Scovazzi, G., Huang, H., Collis, S. S., & Yin, J. (2013). A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: High-order computations of viscous fingering instabilities in complex geometry. Journal of Computational Physics, 252, 86–108. https://doi.org/10.1016/j.jcp.2013.06.012
Scovazzi, G., H. Huang, S. S. Collis, and J. Yin. “A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: High-order computations of viscous fingering instabilities in complex geometry.” Journal of Computational Physics 252 (November 1, 2013): 86–108. https://doi.org/10.1016/j.jcp.2013.06.012.
Scovazzi, G., et al. “A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: High-order computations of viscous fingering instabilities in complex geometry.” Journal of Computational Physics, vol. 252, Nov. 2013, pp. 86–108. Scopus, doi:10.1016/j.jcp.2013.06.012.
Journal cover image

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

November 1, 2013

Volume

252

Start / End Page

86 / 108

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences