Three-dimensional spectral element simulations of variable density and viscosity, miscible displacements in a capillary tube

Wilhelm, Dirk; Meiburg, Eckart

doi:10.1016/S0045-7930(03)00059-8

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
Page(s):	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.
URI:	https://digitalcollection.zhaw.ch/handle/11475/13737
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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Wilhelm, D., & Meiburg, E. (2004). Three-dimensional spectral element simulations of variable density and viscosity, miscible displacements in a capillary tube. Computers & Fluids, 33(3), 485–508. https://doi.org/10.1016/S0045-7930(03)00059-8

Wilhelm, D. and Meiburg, E. (2004) ‘Three-dimensional spectral element simulations of variable density and viscosity, miscible displacements in a capillary tube’, Computers & Fluids, 33(3), pp. 485–508. Available at: https://doi.org/10.1016/S0045-7930(03)00059-8.

D. Wilhelm and E. Meiburg, “Three-dimensional spectral element simulations of variable density and viscosity, miscible displacements in a capillary tube,” Computers & Fluids, vol. 33, no. 3, pp. 485–508, Mar. 2004, doi: 10.1016/S0045-7930(03)00059-8.

WILHELM, Dirk und Eckart MEIBURG, 2004. Three-dimensional spectral element simulations of variable density and viscosity, miscible displacements in a capillary tube. Computers & Fluids. März 2004. Bd. 33, Nr. 3, S. 485–508. DOI 10.1016/S0045-7930(03)00059-8

Wilhelm, Dirk, and Eckart Meiburg. 2004. “Three-Dimensional Spectral Element Simulations of Variable Density and Viscosity, Miscible Displacements in a Capillary Tube.” Computers & Fluids 33 (3): 485–508. https://doi.org/10.1016/S0045-7930(03)00059-8.

Wilhelm, Dirk, and Eckart Meiburg. “Three-Dimensional Spectral Element Simulations of Variable Density and Viscosity, Miscible Displacements in a Capillary Tube.” Computers & Fluids, vol. 33, no. 3, Mar. 2004, pp. 485–508, https://doi.org/10.1016/S0045-7930(03)00059-8.