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Volume 10, Issue 2
Implicit-Explicit Methods for the Efficient Simulation of the Settling of Dispersions of Droplets and Colloidal Particles

Raimund Bürger, Pep Mulet & Lihki Rubio

DOI: 10.4208/aamm.OA-2017-0029

Adv. Appl. Math. Mech., 10 (2018), pp. 445-467.

Published online: 2018-10

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  • 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.

  • Keywords

Sedimentation of droplets, convection-diffusion system, polynomial viscosity matrix, implicit-explicit method.

  • AMS Subject Headings

35K59, 35L65, 65L06, 65M06, 65M08, 76T20

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{AAMM-10-445, author = {Bürger , RaimundMulet , Pep and Rubio , Lihki}, title = {Implicit-Explicit Methods for the Efficient Simulation of the Settling of Dispersions of Droplets and Colloidal Particles}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {10}, number = {2}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2017-0029}, url = {http://global-sci.org/intro/article_detail/aamm/12220.html} }
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 -

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.

Bürger , RaimundMulet , Pep and Rubio , Lihki. (2018). Implicit-Explicit Methods for the Efficient Simulation of the Settling of Dispersions of Droplets and Colloidal Particles. Advances in Applied Mathematics and Mechanics. 10 (2). 445-467. doi:10.4208/aamm.OA-2017-0029
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