TY - JOUR
T1 - Implicit-Explicit Methods for the Efficient Simulation of the Settling of Dispersions of Droplets  and Colloidal Particles
AU - Bürger , Raimund
AU - Mulet , Pep
AU - Rubio , Lihki
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 445
EP - 467
PY - 2018
DA - 2018/10
SN - 10
DO - http://doi.org/10.4208/aamm.OA-2017-0029
UR - https://global-sci.org/intro/article_detail/aamm/12220.html
KW - Sedimentation of droplets, convection-diffusion system, polynomial viscosity matrix, implicit-explicit method.
AB - <p style="text-align: justify;">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.</p>