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Postprocessing of non-conservative flux for compatibility with transport in heterogeneous media
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2017 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 315, p. 799-830Article in journal (Refereed) Published
Abstract [en]

A conservative flux postprocessing algorithm is presented for both steady-state and dynamic flow models. The postprocessed flux is shown to have the same convergence order as the original flux. An arbitrary flux approximation is projected into a conservative subspace by adding a piecewise constant correction that is minimized in a weighted L-2 norm. The application of a weighted norm appears to yield better results for heterogeneous media than the standard L-2 norm which has been considered in earlier works. We also study the effect of different flux calculations on the domain boundary. In particular we consider the continuous Galerkin finite element method for solving Darcy flow and couple it with a discontinuous Galerkin finite element method for an advective transport problem.

Place, publisher, year, edition, pages
2017. Vol. 315, p. 799-830
Keywords [en]
Postprocessing, Local conservation, Galerkin FEM, Darcy flow, Advective transport
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-132294DOI: 10.1016/j.cma.2016.11.018ISI: 000393243900035OAI: oai:DiVA.org:umu-132294DiVA, id: diva2:1089080
Available from: 2017-04-18 Created: 2017-04-18 Last updated: 2018-06-09Bibliographically approved

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Larson, Mats G.

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