This paper is concerned with the effects of numerical schemes on the simulation of dense gas-particle two-phase flows. The first-order upwind difference, the central difference, the second-order upwind difference, the central difference plus artificial dissipation, the deferred correction, the quadratic upstream interpolation (for convective kinematics) and the monotone upstream-centered schemes for conservation laws with different flux limiters were all accomplished to simulate the multi-phase flows. It was found that numerical schemes may significantly affect the solution accuracy and numerical convergence. The monotone upstream-centered schemes for conservation laws are the best choice of all, because they can effectively suppress the non-physical oscillations with the introduction of adaptive numerical dissipation into numerical solutions. © 2005 Elsevier Inc. All rights reserved.
Zhao, X., Richards, P. G., Zhang, S. J., & Liu, J. (2005). High-resolution schemes for bubbling flow computations. Applied Mathematical Modelling, 29(12), 1232–1251. https://doi.org/10.1016/j.apm.2005.03.005