A resolved CFD-DEM coupling model for modeling two-phase fluids interaction with irregularly shaped particles

Abstract In this paper, we develop a resolved coupling model to simulate interaction between two-phase fluids and irregularly shaped particles by using Computational Fluid Dynamics (CFD) and Discrete Element Method (DEM). The Volume of Fluid (VoF) method is introduced to solve two-phase fluids, and irregularly shaped particles are represented by multi-sphere clumps in DEM. The resolved CFD-DEM coupling approach calculates meso-scale flow around particles, and an integration scheme is proposed to directly calculate the fluid forces on multi-sphere particles without resorting to empirical drag force models. A number of benchmark cases are conducted, including a single particle settling in a two-phase fluid, settling of two particles, disk-shaped particles and irregularly shaped particles. The numerical simulations compare well with experimental works and previous studies, showing the accuracy of this model. Finally, a case study of dambreak wave impact on a rock pile demonstrates great potential to apply this model in coastal engineering.

[1]  Neelesh A. Patankar,et al.  A new mathematical formulation and fast algorithm for fully resolved simulation of self-propulsion , 2009, J. Comput. Phys..

[2]  A. Yu,et al.  Discrete particle simulation of particle–fluid flow: model formulations and their applicability , 2010, Journal of Fluid Mechanics.

[3]  D. Joseph,et al.  Nonlinear mechanics of fluidization of beds of spherical particles , 1987, Journal of Fluid Mechanics.

[4]  John S. Shrimpton,et al.  On the application of immersed boundary, fictitious domain and body-conformal mesh methods to many particle multiphase flows , 2012 .

[5]  Yutaka Tsuji,et al.  DISCRETE PARTICLE SIMULATION OF FLOW PATTERNS IN TWO-DIMENSIONAL GAS FLUIDIZED BEDS , 1993 .

[6]  C. Bonadonna,et al.  On the drag of freely falling non-spherical particles , 2016, 1810.08787.

[7]  Frédéric Risso,et al.  Oscillatory motion and wake instability of freely rising axisymmetric bodies , 2007, Journal of Fluid Mechanics.

[8]  Anthony Wachs,et al.  A fictitious domain method for dynamic simulation of particle sedimentation in Bingham fluids , 2007 .

[9]  Christoph Goniva,et al.  LIGGGHTS – Open Source Discrete Element Simulations of Granular Materials Based on Lammps , 2011 .

[10]  Chung Yee Kwok,et al.  Extended CFD–DEM for free‐surface flow with multi‐size granules , 2016 .

[11]  C. Thornton,et al.  A comparison of discrete element simulations and experiments for ‘sandpiles’ composed of spherical particles , 2005 .

[12]  Xueming Shao,et al.  Direct numerical simulation of particulate flows with a fictitious domain method , 2010 .

[13]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[14]  N. Patankar,et al.  A fast computation technique for the direct numerical simulation of rigid particulate flows , 2005 .

[15]  C. Kloss,et al.  Models, algorithms and validation for opensource DEM and CFD-DEM , 2012 .

[16]  Franco Nori,et al.  Chaotic dynamics of falling disks , 1997, Nature.

[17]  M. Zastawny,et al.  Derivation of drag and lift force and torque coefficients for non-spherical particles in flows , 2012 .

[18]  Edin Berberović,et al.  Investigation of Free-surface Flow Associated with Drop Impact: Numerical Simulations and Theoretical Modeling , 2010 .

[19]  C. Kloss,et al.  Parallel Resolved Open Source CFD-DEM: Method, Validation and Application , 2014 .

[20]  R. Glowinski,et al.  A distributed Lagrange multiplier/fictitious domain method for particulate flows , 1999 .

[21]  P. Lin,et al.  Numerical simulation of wave overtopping above perforated caisson breakwaters , 2021 .

[22]  R. Glowinski,et al.  A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow , 2001 .

[23]  Qing Yang,et al.  A semi-resolved CFD-DEM model for seepage-induced fine particle migration in gap-graded soils , 2018, Computers and Geotechnics.

[24]  Jidong Zhao,et al.  Coupled CFD–DEM simulation of fluid–particle interaction in geomechanics , 2013 .

[25]  R. Glowinski,et al.  A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows , 2000 .

[26]  B. Mutlu Sumer,et al.  Sinking of armour layer around a vertical cylinder exposed to waves and current , 2015 .

[27]  Yuqing Feng,et al.  Assessment of model formulations in the discrete particle simulation of gas-solid flow , 2004 .

[28]  Marcel R.A. van Gent,et al.  Influence of oblique wave attack on wave overtopping and forces on rubble mound breakwater crest walls , 2019, Coastal Engineering.

[29]  Mathieu Martin,et al.  A numerical method for fully resolved simulation (FRS) of rigid particle-flow interactions in complex flows , 2009, J. Comput. Phys..

[30]  P. P. Brown,et al.  Sphere Drag and Settling Velocity Revisited , 2003 .

[31]  Hrvoje Jasak,et al.  Error analysis and estimation for the finite volume method with applications to fluid flows , 1996 .

[32]  C. Wen,et al.  A generalized method for predicting the minimum fluidization velocity , 1966 .

[33]  Jam Hans Kuipers,et al.  Flow regimes in a spout-fluid bed : A combined experimental and simulation study , 2005 .

[34]  François Peters,et al.  A fictitious domain approach for the simulation of dense suspensions , 2014, J. Comput. Phys..

[35]  A. Skempton,et al.  Experiments on piping in sandy gravels , 1994 .

[36]  A. Yu,et al.  Discrete particle simulation of particulate systems: Theoretical developments , 2007 .

[37]  L. Luo,et al.  Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation , 1997 .

[38]  Heng Xiao,et al.  Algorithms in a Robust Hybrid CFD-DEM Solver for Particle-Laden Flows , 2011, Communications in Computational Physics.

[39]  Chi-Wang Shu,et al.  High order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD , 2001 .

[40]  Barry Koren,et al.  Quasi-DNS capabilities of OpenFOAM for different mesh types , 2014 .

[41]  R. D. Felice,et al.  The voidage function for fluid-particle interaction systems , 1994 .

[42]  D. R. J. Owen,et al.  Numerical Simulations of Irregular Particle Transport in Turbulent Flows Using Coupled LBM-DEM , 2007 .

[43]  Christoph Goniva,et al.  APPROXIMATION OF OBJECTS BY SPHERES FOR MULTISPHERE SIMULATIONS IN DEM , 2012 .

[44]  Ruchi Guo,et al.  An immersed finite element method for elliptic interface problems in three dimensions , 2019, J. Comput. Phys..

[45]  Chi-Wang Shu High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD , 2003 .

[46]  Norman E. Hawk,et al.  Steady and Unsteady Motions and Wakes of Freely Falling Disks , 1964 .

[47]  M. Trujillo,et al.  Evaluating the performance of the two-phase flow solver interFoam , 2012 .

[48]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[49]  Ng Niels Deen,et al.  Influence of rolling friction on single spout fluidized bed simulation , 2012 .

[50]  Luc Sibille,et al.  Modeling of fluid–solid interaction in granular media with coupled lattice Boltzmann/discrete element methods: application to piping erosion , 2013 .

[51]  Eajf Frank Peters,et al.  A coupled Volume of Fluid and Immersed Boundary Method for simulating 3D multiphase flows with contact line dynamics in complex geometries , 2017 .

[52]  Jørgen Fredsøe,et al.  Edge scour at scour protections around piles in the marine environment - Laboratory and field investigation , 2015 .

[53]  Jidong Zhao,et al.  A coupled CFD-DEM analysis of granular flow impacting on a water reservoir , 2014 .

[54]  N. Zuber,et al.  Drag coefficient and relative velocity in bubbly, droplet or particulate flows , 1979 .

[55]  Lu Jing,et al.  A comprehensive parametric study of LBM-DEM for immersed granular flows , 2019, Computers and Geotechnics.

[56]  Chunning Ji,et al.  A novel iterative direct-forcing immersed boundary method and its finite volume applications , 2012, J. Comput. Phys..

[57]  R. Fell,et al.  The statistics of embankment dam failures and accidents , 2000 .

[58]  A. Skempton,et al.  Discussion: Experiments on piping in sandy gravels , 1995 .

[59]  A. Gosman,et al.  Solution of the implicitly discretised reacting flow equations by operator-splitting , 1986 .