Eirik Keilegavlen
Position: Post doc in Applied Mathematics at
Department of Mathematics
E-mail: |
Eirik.Keilegavlen@uib.no |
Research interests
- Numerical methods for reservoir simulation:
- Linear solvers for heterogeneous problems (Multiscale methods, domain decomposition, multigrid)
- Non-linear solvers for two-phase problems (Newton-type methods)
- Discretization of fractured porous media (Gridding, discretization, linear solvers)
- Control volume methods for elliptic and hyperbolic equations equations (MPFA, multi-dimensional upwinding)
Publications (Peer reviewed)
A. Sandvin, E. Keilegavlen, J.M. Nordbotten:
Auxiliary Variables for Multiscale Simulation in Heterogeneous Porous Media
Submitted to Journal of Computational Physics
J.O. Skogestad, E. Keilegavlen, J.M. Nordbotten:
Domain Decomposition Strategies for Non-linear Flow Problems in Porous Media
Submitted to Journal of Computational Physics
E. Keilegavlen, J. Kozdon and B. Mallison:
Multi-dimensional upstream weighting for multi-phase flow on general grids
,
Computational Geosciences, to appear
E. Keilegavlen, J.M. Nordbotten, A. Stephansen:
Tensor Relative Permeabilities: Origins, Modeling and Numerical Discretization
,
International Journal of Numerical Analysis and Modeling 9 (3) 701-724
E. Keilegavlen and I. Aavatsmark :
Monotonicity of MPFA methods on triangular grids ,
Computational Geosciences 15 (1) 3-16
S. Mundal, E. Keilegavlen and I. Aavatsmark :
Simulation of Anisotropic Heterogeneous Near-well Flow using MPFA Methods on Flexible Grids
Computational Geosciences 14 (4) 509-525
E. Keilegavlen, J. M. Nordbotten and I. Aavatsmark:
Sufficient monotonicity criteria are necessary for control volume methods,
Applied Mathematics Letters 22 (8) 1178-1180
E. Keilegavlen and J. Berntsen:
Non-hydrostatic pressure in sigma-coordinate ocean models,
Ocean Modelling 28 (4), 240-249
Book chapters
J.M. Nordbotten, E.Keilegavlen and A. Sandvin
Mass Conservative Domain Decomposition for Porous Media Flow
In: Finite Volume Method - Powerful Means of Engineering Design, PhD. Radostina Petrova (Ed.), ISBN: 978-953-51-0445-2, InTech.
Conference proceedings (not reviewed)
E. Keilegavlen, J.M. Nordbotten, A.Stephansen
Simulating two-phase flow in porous media with anisotropic relative
permeabilities
,
Proceedings of SPE Reservoir Simulation Symposium 2011, SPE 141552
E. Keilegavlen, J. Kozdon, B.T. Mallison
Monotone Multi-dimensional Upstream Weighting on General Grids
,
Proceeding of ECMOR XII, 2010
A. Sandvin, J.O. Skogestad, E. Keilegavlen, J.M. Nordbotten
A Multiscale Framework for Simulating Multi-phase Flow on Flexible Grids,
Proceedings of ECMOR XII, 2010
P.A. Herrera , J.M. Nordbotten B.F. El-Faour, E. Keilegavlen and H.K. Dahle:
The
impact of natural heterogeneity on CO2 migration in deep saline aquifers
Proceedings of British Hydrological Society International Symposium, 2010
H.M. Nilsen, P.A. Herrera, M. Ashraf, I. Ligaarden, M. Iding, C. Hermanrud, K.-A. Lie, J.M.
Nordbotten, H.K. Dahle and E. Keilegavlen:
Field-case simulation of CO2-plume
migration using vertical-equilibrium models
Proceedings of GHGT 10, 2010
E.Keilegavlen, I.Aavatsmark:
Monotonicity for control volume methods on triangular grids,
Proceedings of ECMOR XI, 2008
S.Mundal, E.Keilegavlen, I.Aavatsmark:
Discretisation schemes for anisotropic heterogeneous problems on near-well grids ,
Proceedings of ECMOR XI, 2008
PhD Thesis
Robust Control Volume Methods for Reservoir Simulation on Challenging Grids
Master's Thesis
Modelling the non-Hydrostatic pressure in sigma-coordinate ocean models