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

Autores: Yuliya Gorb, Otto Mierka, Liudmila Rivkind, Dmitri Kuzmin
Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 270, Nº 1, 2014, págs. 443-450
Idioma: inglés
DOI: 10.1016/j.cam.2013.12.020
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Resumen
- 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.