1. A numerical method for two-phase flows of dense granular mixtures.
- Author
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Varsakelis, Christos and Papalexandris, Miltiadis V.
- Subjects
- *
NUMERICAL analysis , *TWO-phase flow , *GRANULAR materials , *ALGORITHMS , *SHEAR flow , *COMPUTER simulation - Abstract
Abstract: In this paper, a novel algorithm for incompressible flows of two-phase granular mixtures is proposed. The algorithm constitutes a generalization of projection-type methods to multi-phase flows and employs a predictor–corrector time-marching scheme. For the computation of the phasial pressures, a Poisson equation and a second-order elliptic PDE with variable coefficients are solved at both the prediction and the correction stage. Further, the algorithm is combined with a regularization scheme for the numerical treatment of material interfaces which are a common characteristic of the flows of interest. The efficiency and robustness of the proposed algorithm are illustrated via numerical simulations of unsteady two-dimensional shear flows for a reference mixture of beach sand and water. [Copyright &y& Elsevier]
- Published
- 2014
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