An efficient discontinuous Galerkin method for advective transport in porous media |
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| Authors: | Jostein R. Natvig, Knut&#x Andreas Lie, Birgitte Eikemo,Inga Berre |
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| Affiliation: | aSINTEF ICT, Department of Applied Mathematics, P.O. Box 124 Blindern, NO–0314 Oslo, Norway;bCentre of Mathematics for Applications, University of Oslo, P.O. Box 1053 Blindern, NO–0316 Oslo, Norway;cUniversity of Bergen, Department of Mathematics, Johs. Brunsgt. 12, NO-5008 Bergen, Norway |
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| Abstract: | 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 priori knowledge of the direction of flow. By arranging the elements in a suitable sequence, one does not need to assemble the full system and may compute the solution in an element-by-element fashion. We demonstrate this procedure on boundary-value problems for tracer transport and time-of-flight. |
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| Keywords: | Transport in porous media Time-of-flight Discontinuous Galerkin discretization Linear solvers Directed acyclic graphs |
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