This paper introduces the advanced MP-PIC-VOF model tailored for dense particle-laden flows with free surface,which has been developed and extensively tested across a set of validation cases found in literature and or...This paper introduces the advanced MP-PIC-VOF model tailored for dense particle-laden flows with free surface,which has been developed and extensively tested across a set of validation cases found in literature and original bulk particle water entry case.A distinctive feature of the MP-PIC method is its demonstrated ability to accurately capture the behavior of closely packed particles in a fluid,even in the absence of direct pairwise particle-particle interactions.At a closed packed limit,the MP-PIC method achieves the accurate representation of the state through the resolved mean particle velocity field and implementation of the velocity limiter in the inter-particle stress force.The new model integrates a trilinear interpolation technique,specifically adapted for unstructured hexahedral meshes,and a weighted least squares method for efficient gradient computation that operates at a sub-cell level,enabling more accurate calculation of inter-particle stress gradients.Other key contributions include the integration of hydrostatic pressure adaptation in the momentum equation and a volume-conservative alpha transport equation that ensures mass conservation during the transfer of the solid phase between distinct fluid phases.The coupling framework includes a range of coupled fluid-particle forces important for particles immersed in liquid,including a dense virtual mass force.The model's validation against experimental data and CFD-DEM-VOF results focuses on key flow parameters,specifically particle velocity,dispersion profile,and cavity evolution during bulk particle water entry.The model is shown to accurately simulate complex solid-liquid-gas interactions,demonstrating its potential for optimizing a wide range of complex industrial processes such as liquid fluidized beds,solid-liquid stirred tanks,and clarifiers.展开更多
基金supported by Sepro Mineral Systems through the Mitacs Accelerate project No:IT12396.
文摘This paper introduces the advanced MP-PIC-VOF model tailored for dense particle-laden flows with free surface,which has been developed and extensively tested across a set of validation cases found in literature and original bulk particle water entry case.A distinctive feature of the MP-PIC method is its demonstrated ability to accurately capture the behavior of closely packed particles in a fluid,even in the absence of direct pairwise particle-particle interactions.At a closed packed limit,the MP-PIC method achieves the accurate representation of the state through the resolved mean particle velocity field and implementation of the velocity limiter in the inter-particle stress force.The new model integrates a trilinear interpolation technique,specifically adapted for unstructured hexahedral meshes,and a weighted least squares method for efficient gradient computation that operates at a sub-cell level,enabling more accurate calculation of inter-particle stress gradients.Other key contributions include the integration of hydrostatic pressure adaptation in the momentum equation and a volume-conservative alpha transport equation that ensures mass conservation during the transfer of the solid phase between distinct fluid phases.The coupling framework includes a range of coupled fluid-particle forces important for particles immersed in liquid,including a dense virtual mass force.The model's validation against experimental data and CFD-DEM-VOF results focuses on key flow parameters,specifically particle velocity,dispersion profile,and cavity evolution during bulk particle water entry.The model is shown to accurately simulate complex solid-liquid-gas interactions,demonstrating its potential for optimizing a wide range of complex industrial processes such as liquid fluidized beds,solid-liquid stirred tanks,and clarifiers.