A numerical method for two-phase flows of dense granular mixtures

作者：Varsakelis Christos; Papalexandris Miltiadis V^*

来源：Journal of Computational Physics, 2014, 257: 737-756.

DOI：10.1016/j.jcp.2013.10.023

• Granular materials
• Complex fluids
• Projection methods
• Predictor-corrector methods
• Collocated grids

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.

• 出版日期2014-1-15