|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|
|Published in:||Computers & Fluids|
|Publisher / Ed. Institution:||Elsevier|
|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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