Publication type: Article in scientific journal
Type of review: Peer review (publication)
Title: Three-dimensional spectral element simulations of variable density and viscosity, miscible displacements in a capillary tube
Authors: Wilhelm, Dirk
Meiburg, Eckart
DOI: 10.1016/S0045-7930(03)00059-8
Published in: Computers & Fluids
Volume(Issue): 33
Issue: 3
Pages: 485
Pages to: 508
Issue Date: Mar-2004
Publisher / Ed. Institution: Elsevier
ISSN: 0045-7930
Language: English
Subjects: Cylindrical coordinate system; Coordinate singularity; Miscible interfaces; Variable density and viscosity; Spectral element method
Subject (DDC): 530: Physics
Abstract: A high-accuracy numerical approach is introduced for three-dimensional, time-dependent simulations of variable density and viscosity, miscible flows in a circular tube. Towards this end, the conservation equations are treated in cylindrical coordinates. The spatial discretization is based on a mixed spectral element/Fourier spectral scheme, with careful treatment of the singularity at the axis. For the temporal discretization, an efficient semi-implicit method is applied to the variable viscosity momentum equation. This approach results in a constant coefficient Helmholtz equation, which is solved by a fast diagonalization method. Numerical validation data are presented, and simulations are conducted for the three-dimensionally evolving instability resulting from an unstable density stratification in a vertical tube. Some preliminary comparisons with corresponding experiments are undertaken.
Fulltext version: Published version
License (according to publishing contract): Licence according to publishing contract
Departement: School of Engineering
Appears in Collections:Publikationen School of Engineering

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