Mass conservative finite volume discretization of the continuity equations in multi-component mixtures

K.S.C. Peerenboom, J. Dijk, van, J.H.M. Thije Boonkkamp, ten, L. Liu, W.J. Goedheer, J.J.A.M. Mullen, van der

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)
4 Downloads (Pure)

Abstract

The Stefan-Maxwell equations for multi-component diffusion result in a system of coupled continuity equations for all species in the mixture. We use a generalization of the exponential scheme to discretize this system of continuity equations with the finite volume method. The system of continuity equations in this work is obtained from a non-singular formulation of the Stefan-Maxwell equations, where the mass constraint is not applied explicitly. Instead, all mass fractions are treated as independent unknowns and the constraint is a result of the continuity equations, the boundary conditions, the diffusion algorithm and the discretization scheme. We prove that with the generalized exponential scheme, the mass constraint can be satisfied exactly, although it is not explicitly applied. A test model from the literature is used to verify the correct behavior of the scheme.
Original languageEnglish
Pages (from-to)3525-3537
JournalJournal of Computational Physics
Volume230
Issue number9
DOIs
Publication statusPublished - 2011

Fingerprint Dive into the research topics of 'Mass conservative finite volume discretization of the continuity equations in multi-component mixtures'. Together they form a unique fingerprint.

  • Cite this