Implicit-Explicit Methods for the Efficient Simulation of the Settling of Dispersions of Droplets and Colloidal Particles

被引：2

作者：

Buerger, Raimund ^{[1
,2
]}

Mulet, Pep ^{[3
]}

Rubio, Lihki ^{[1
,2
]}

机构：

[1] Univ Concepcion, Fac Ciencias Fis & Matemat, CI2MA, Casilla 160-C, Concepcion, Chile

[2] Univ Concepcion, Fac Ciencias Fis & Matemat, Dept Ingn Matemat, Casilla 160-C, Concepcion, Chile

[3] Univ Valencia, Dept Matemat, Av Vicent Andres Estelles, E-46100 Burjassot, Spain

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2018年 / 10卷 / 02期

关键词：

Sedimentation of droplets; convection-diffusion system; polynomial viscosity matrix; implicit-explicit method; RUNGE-KUTTA METHODS; SECULAR EQUATION; SCHEMES; IMPLEMENTATION; SEDIMENTATION; SOLVERS; MATRIX; MODELS;

D O I：

10.4208/aamm.OA-2017-0029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：445 / 467

页数：23

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