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- Sebastian Noelle, Normann Pankratz, Gabriella Puppo, Jostein R. Natvig
- J. Comput. Physics
- 2006

Many geophysical flows are merely perturbations of some fundamental equilibrium state. If a numerical scheme shall capture such flows efficiently, it should be able to preserve the unperturbed… (More)

- Jostein R. Natvig, Knut-Andreas Lie
- J. Comput. Physics
- 2008

We present a family of implicit discontinuous Galerkin schemes for purely advective multiphase flow in porous media in the absence of gravity and capillary forces. To advance the solution one time… (More)

- André Rigland Brodtkorb, Trond Runar Hagen, Knut-Andreas Lie, Jostein R. Natvig
- Computat. and Visualiz. in Science
- 2010

We consider three high-resolution schemes for computing shallow-water waves as described by the Saint-Venant system and discuss how to develop highly efficient implementations using graphical… (More)

- Trond Runar Hagen, Jon Mikkelsen Hjelmervik, Knut-Andreas Lie, Jostein R. Natvig, M. Ofstad Henriksen
- Simulation Modelling Practice and Theory
- 2005

A commodity-type graphics card (GPU) is used to simulate nonlinear water waves described by a system of balance laws called the shallow-water system. To solve this hyperbolic system we use explicit… (More)

Geological models are becoming increasingly large and detailed to account for heterogeneous structures on different spatial scales. To obtain simulation models that are computationally tractable, it… (More)

- Trond Runar Hagen, Knut-Andreas Lie, Jostein R. Natvig
- International Conference on Computational Science
- 2006

The 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. The dynamics… (More)

Many numerical methods for systems of convection-diffusion equations are based upon an operator splitting formulation, where convective and diffusive forces are accounted for in separate substeps. We… (More)

Previous research has shown that multiscale methods are robust and capable of providing more accurate solutions than traditional upscaling methods. Multiscale methods solve the pressure equation on a… (More)

We consider a discontinuous Galerkin scheme for computing transport in heterogeneous media. An efficient solution of the resulting linear system of equations is possible by taking advantage of a… (More)

We present a family of efficient solvers for hyperbolic transport equations modelling flow in porous media. The solvers are based on discontinuous Galerkin spatial discretisations and implicit… (More)