期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 270, 期 -, 页码 443-450出版社
ELSEVIER
DOI: 10.1016/j.cam.2013.12.020
关键词
Particle-laden flows; Mixture model; Boussinesq approximation; Effective viscosity; Finite elements; Flux-corrected transport
资金
- National Science Foundation [DMS-1016531]
- German Research Association DFG [SFB 708]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1016531] Funding Source: National Science Foundation
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.
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