J
Jostein R. Natvig
Researcher at SINTEF
Publications - 41
Citations - 1778
Jostein R. Natvig is an academic researcher from SINTEF. The author has contributed to research in topics: Grid & Nonlinear system. The author has an hindex of 18, co-authored 39 publications receiving 1637 citations. Previous affiliations of Jostein R. Natvig include Schlumberger.
Papers
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Journal ArticleDOI
Open-source MATLAB implementation of consistent discretisations on complex grids
Knut-Andreas Lie,Knut-Andreas Lie,Stein Krogstad,Ingeborg Skjelkvåle Ligaarden,Jostein R. Natvig,Halvor Møll Nilsen,Bård Skaflestad +6 more
TL;DR: An open-source Matlab® toolkit that can be used as an efficient test platform for (new) discretisation and solution methods in reservoir simulation is presented and examples of multiscale methods and adjoint methods for use in optimisation of rates and placement of wells are shown.
Journal ArticleDOI
Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
TL;DR: A class of schemes of any desired order of accuracy which preserve the lake at rest perfectly are presented, which should have an impact for studying important classes of lake and ocean flows.
Journal ArticleDOI
Fast computation of multiphase flow in porous media by implicit discontinuous Galerkin schemes with optimal ordering of elements
TL;DR: A family of implicit discontinuous Galerkin schemes for purely advective multiphase flow in porous media in the absence of gravity and capillary forces may be at least as efficient as modern streamline methods when accuracy requirements or the dynamics of the flow allow for large implicit time steps.
Book ChapterDOI
Solving the euler equations on graphics processing units
TL;DR: This paper describes how one can use commodity graphics cards (GPUs) as a high-performance parallel computer to simulate the dynamics of ideal gases in two and three spatial dimensions.
Journal ArticleDOI
Operator spltting methods for systems of convection-diffusion equations: Nonlinear error mechanisms and correction strategies
K. Hvistendahl Karlsen,Knut-Andreas Lie,Knut-Andreas Lie,Jostein R. Natvig,Hans Fredrik Nordhaug,Helge K. Dahle +5 more
TL;DR: The authors proposed a corrected operator splitting (COS) method for general systems of convection-diffusion equations with the ability of correctly resolving the nonlinear balance between the convective and diffusive forces.