Finite element simulation of three-dimensional particulate flows using mixture models

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:270

Article; Proceedings Paper

Gorb, Yuliya¹  Mierka, Otto²  Rivkind, Liudmila²  Kuzmin, Dmitri² 

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

[2] Dortmund Univ Technol, Inst Appl Math 3, D-44227 Dortmund, Germany

关键词: Particle-laden flows;    Mixture model;    Boussinesq approximation;    Effective viscosity;    Finite elements;    Flux-corrected transport;   

DOI  :  10.1016/j.cam.2013.12.020

来源: Elsevier

【 摘 要 】

In this paper, we discuss the numerical treatment of three-dimensional mixture models for (semi-)dilute and concentrated suspensions of particles in incompressible fluids. The generalized Navier-Stokes system and the continuity equation for the volume fraction of the disperse phase are discretized using an implicit high-resolution finite element scheme, and maximum principles are enforced using algebraic flux correction. To prevent the volume fractions from exceeding the maximum packing limit, a conservative overshoot limiter is applied to the converged convective fluxes at the end of each time step. A numerical study of the proposed approach is performed for 3D particulate flows over a backward-facing step and in a lid-driven cavity. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free