Multi-scale modeling of dispersed gas-liquid two-phase flow

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A New Drag Correlation from Fully Resolved Simulations of Flow Past Monodisperse Static Arrays of Spheres (2015, methodology): “To this end, a regularized delta function suggested by Deen et al.(50) is employed, which is a cheap clipped fourth-order polynomial function with a finite support of three times the grid size.”
On the drag force of bubbles in bubble swarms at intermediate and high Reynolds numbers (2011, methodology): “Therefore, we have adopted the multi-scale modeling technique (Deen et al., 2004; van Sint Annaland et al., 2003), where large-scale models are provided with accurate, yet easy to compute, closure correlations derived from more-detailed smaller-scale models.”