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dc.contributor.authorWilhelm, Dirk-
dc.contributor.authorMeiburg, Eckart-
dc.date.accessioned2018-12-11T15:36:57Z-
dc.date.available2018-12-11T15:36:57Z-
dc.date.issued2004-03-
dc.identifier.issn0045-7930de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/13737-
dc.description.abstractA 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.de_CH
dc.language.isoende_CH
dc.publisherElsevierde_CH
dc.relation.ispartofComputers & Fluidsde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectCylindrical coordinate systemde_CH
dc.subjectCoordinate singularityde_CH
dc.subjectMiscible interfacesde_CH
dc.subjectVariable density and viscosityde_CH
dc.subjectSpectral element methodde_CH
dc.subject.ddc530: Physikde_CH
dc.titleThree-dimensional spectral element simulations of variable density and viscosity, miscible displacements in a capillary tubede_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
dc.identifier.doi10.1016/S0045-7930(03)00059-8de_CH
zhaw.funding.euNode_CH
zhaw.issue3de_CH
zhaw.originated.zhawNode_CH
zhaw.pages.end508de_CH
zhaw.pages.start485de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume33de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
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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.


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