Mass-corrections for the conservative coupling of flow and transport on collocated meshes

Journal article


Publication Details

Author(s): Waluga C, Wohlmuth BI, Rüde U
Journal: Journal of Computational Physics
Publisher: Elsevier
Publication year: 2016
Volume: 305
Pages range: 319-332
ISSN: 0021-9991
Language: English


Abstract


Buoyancy-driven flow models demand a careful treatment of the mass-balance equation to avoid spurious source and sink terms in the non-linear coupling between flow and transport. In the context of finite-elements, it is therefore commonly proposed to employ sufficiently rich pressure spaces, containing piecewise constant shape functions to obtain local or even strong mass-conservation. In three-dimensional computations, this usually requires nonconforming approaches, special meshes or higher order velocities, which make these schemes prohibitively expensive for some applications and complicate the implementation into legacy code. In this paper, we therefore propose a lean and conservatively coupled scheme based on standard stabilized linear equal-order finite elements for the Stokes part and vertex-centered finite volumes for the energy equation. We show that in a weak mass-balance it is possible to recover exact conservation properties by a local flux-correction which can be computed efficiently on the control volume boundaries of the transport mesh. We discuss implementation aspects and demonstrate the effectiveness of the flux-correction by different two-and three-dimensional examples which are motivated by geophysical applications. (C) 2015 Elsevier Inc. All rights reserved.


FAU Authors / FAU Editors

Rüde, Ulrich Prof. Dr.
Lehrstuhl für Informatik 10 (Systemsimulation)


External institutions with authors

Technische Universität München (TUM)


How to cite

APA:
Waluga, C., Wohlmuth, B.I., & Rüde, U. (2016). Mass-corrections for the conservative coupling of flow and transport on collocated meshes. Journal of Computational Physics, 305, 319-332. https://dx.doi.org/10.1016/j.jcp.2015.10.044

MLA:
Waluga, Christian, B. I. Wohlmuth, and Ulrich Rüde. "Mass-corrections for the conservative coupling of flow and transport on collocated meshes." Journal of Computational Physics 305 (2016): 319-332.

BibTeX: 

Last updated on 2018-17-08 at 13:38