Implicit-Explicit Methods for the Efficient Simulation of the Settling of Dispersions of Droplets and Colloidal Particles
Year: 2018
Author: Raimund Bürger, Pep Mulet, Lihki Rubio
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 2 : pp. 445–467
Abstract
Techniques for the efficient approximate solution of systems of convection-diffusion partial differential equations modelling the sedimentation of droplets of different sizes in a viscous fluid are introduced. These techniques comprise the use of Polynomial Viscosity Matrix (PVM) methods for the convective numerical fluxes and implicit treatment of the nonlinear diffusion terms. Numerical examples based on [A. Abeynaike et al., Chem. Eng. Sci., 79 (2012), pp. 125–137] are presented.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2017-0029
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 2 : pp. 445–467
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Sedimentation of droplets convection-diffusion system polynomial viscosity matrix implicit-explicit method.
Author Details
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On entropy stable schemes for degenerate parabolic multispecies kinematic flow models
Bürger, Raimund
Méndez, Paul E.
Parés, Carlos
Numerical Methods for Partial Differential Equations, Vol. 35 (2019), Iss. 5 P.1847
https://doi.org/10.1002/num.22381 [Citations: 2]