Implementation and evaluation of a three-level grid method for CFD-DEM simulations of dense gas–solid flows

Zhong, 2016, CFD simulation of dense particulate reaction system: approaches, recent advances and applications, Chem. Eng. Sci., 140, 16, 10.1016/j.ces.2015.09.035 Li, 2003, A numerical study of heat transfer mechanisms in gas–solids flows through pipes using a coupled CFD and DEM model, Drying Technol., 21, 1839, 10.1081/DRT-120025511 Maio, 2009, Comparison of heat transfer models in DEM-CFD simulations of fluidized beds with an immersed probe, Powder Technol., 193, 257, 10.1016/j.powtec.2009.03.002 Zhuang, 2014, CFD–DEM modeling of gas–solid flow and catalytic MTO reaction in a fluidized bed reactor, Comput. Chem. Eng., 60, 1, 10.1016/j.compchemeng.2013.08.007 Ku, 2015, CFD–DEM simulation of biomass gasification with steam in a fluidized bed reactor, Chem. Eng. Sci., 122, 270, 10.1016/j.ces.2014.08.045 Ostermeier, 2019, Coarse-grained CFD-DEM simulation of biomass gasification in a fluidized bed reactor, Fuel, 255, 115790, 10.1016/j.fuel.2019.115790 Golshan, 2020, Review and implementation of CFD-DEM applied to chemical process systems, Chem. Eng. Sci., 221, 115646, 10.1016/j.ces.2020.115646 Cundall, 1979, A discrete numerical model for granular assemblies, Géotechnique, 29, 47, 10.1680/geot.1979.29.1.47 Tsuji, 1992, Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe, Powder Technol., 71, 239, 10.1016/0032-5910(92)88030-L Tsuji, 1993, Discrete particle simulation of two-dimensional fluidized bed, Powder Technol., 77, 79, 10.1016/0032-5910(93)85010-7 Enwald, 1996, Eulerian two-phase flow theory applied to fluidization, Int. J. Multiphase Flow, 22, 21, 10.1016/S0301-9322(96)90004-X Jackson, 1997, Locally averaged equations of motion for a mixture of identical spherical particles and a newtonian fluid, Chem. Eng. Sci., 52, 2457, 10.1016/S0009-2509(97)00065-1 Deen, 2014, Review of direct numerical simulation of fluid–particle mass, momentum and heat transfer in dense gas–solid flows, Chem. Eng. Sci., 116, 710, 10.1016/j.ces.2014.05.039 Link, 2005, Flow regimes in a spout–fluid bed: a combined experimental and simulation study, Chem. Eng. Sci., 60, 3425, 10.1016/j.ces.2005.01.027 Renzo, 2007, Homogeneous and bubbling fluidization regimes in DEM–CFD simulations: hydrodynamic stability of gas and liquid fluidized beds, Chem. Eng. Sci., 62, 116, 10.1016/j.ces.2006.08.009 Yang, 2016, Numerical investigation on the effect of draft plates on spouting stability and gas–solid characteristics in a spout-fluid bed, Chem. Eng. Sci., 148, 108, 10.1016/j.ces.2016.03.010 Geldart, 1973, Types of gas fluidization, Powder Technol., 7, 285, 10.1016/0032-5910(73)80037-3 Detamore, 2001, A kinetic-theory analysis of the scale-up of circulating fluidized beds, Powder Technol., 116, 190, 10.1016/S0032-5910(00)00397-1 Verma, 2013, Two-fluid modeling of three-dimensional cylindrical gas–solid fluidized beds using the kinetic theory of granular flow, Chem. Eng. Sci., 102, 227, 10.1016/j.ces.2013.08.002 Moliner, 2019, CFD simulation of a spouted bed: comparison between the discrete element method (DEM) and the two fluid model (TFM), Chem. Eng. J., 377, 120466, 10.1016/j.cej.2018.11.164 Sakai, 2009, Large-scale discrete element modeling in pneumatic conveying, Chem. Eng. Sci., 64, 533, 10.1016/j.ces.2008.10.003 Sakai, 2014, Verification and validation of a coarse grain model of the DEM in a bubbling fluidized bed, Chem. Eng. J., 244, 33, 10.1016/j.cej.2014.01.029 Chu, 2016, Applicability of a coarse-grained CFD–DEM model on dense medium cyclone, Minerals Eng., 90, 43, 10.1016/j.mineng.2016.01.020 Takabatake, 2018, Numerical investigation of a coarse-grain discrete element method in solid mixing in a spouted bed, Chem. Eng. J., 346, 416, 10.1016/j.cej.2018.04.015 Hilton, 2014, Comparison of non-cohesive resolved and coarse grain DEM models for gas flow through particle beds, Appl. Math. Model., 38, 4197, 10.1016/j.apm.2014.02.013 Stroh, 2018, Numerical CFD simulation of 1 MWth circulating fluidized bed using the coarse grain discrete element method with homogenous drag models and particle size distribution, Fuel Process. Technol., 169, 84, 10.1016/j.fuproc.2017.09.014 Stroh, 2019, Coarse grain 3D CFD-DEM simulation and validation with capacitance probe measurements in a circulating fluidized bed, Chem. Eng. Sci., 196, 37, 10.1016/j.ces.2018.11.052 Peng, 2014, Influence of void fraction calculation on fidelity of CFD-DEM simulation of gas-solid bubbling fluidized beds, AIChE J., 60, 2000, 10.1002/aic.14421 Alobaid, 2013, Extended CFD/DEM model for the simulation of circulating fluidized bed, Adv. Powder Technol., 24, 403, 10.1016/j.apt.2012.09.003 Su, 2015, A two-layer mesh method for discrete element simulation of gas-particle systems with arbitrarily polyhedral mesh, Int. J. Numer. Methods Eng., 103, 759, 10.1002/nme.4911 Alobaid, 2015, A particle–grid method for Euler–Lagrange approach, Powder Technol., 286, 342, 10.1016/j.powtec.2015.08.019 Deb, 2013, A novel two-grid formulation for fluid–particle systems using the discrete element method, Powder Technol., 246, 601, 10.1016/j.powtec.2013.06.014 Farzaneh, 2011, A novel multigrid technique for lagrangian modeling of fuel mixing in fluidized beds, Chem. Eng. Sci., 66, 5628, 10.1016/j.ces.2011.07.060 Sun, 2015, Diffusion-based coarse graining in hybrid continuum–discrete solvers: applications in CFD–DEM, Int. J. Multiph. Flow, 72, 233, 10.1016/j.ijmultiphaseflow.2015.02.014 Sun, 2015, Diffusion-based coarse graining in hybrid continuum–discrete solvers: theoretical formulation and a priori tests, Int. J. Multiph. Flow, 77, 142, 10.1016/j.ijmultiphaseflow.2015.08.014 Papadikis, 2008, CFD modelling of the fast pyrolysis of biomass in fluidised bed reactors, part A: Eulerian computation of momentum transport in bubbling fluidised beds, Chem. Eng. Sci., 63, 4218, 10.1016/j.ces.2008.05.045 Ding, 1990, A bubbling fluidization model using kinetic theory of granular flow, AIChE J., 36, 523, 10.1002/aic.690360404 Gidaspow, 1994 Ergun, 1952, Fluid flow through packed columns, Chem. Eng. Prog., 48, 89 Wen, 1966, Mechanics of fluidization, Chem. Eng. Prog. Symp. Ser., 62, 100 Benyahia, 2006, Extension of Hill–Koch–Ladd drag correlation over all ranges of Reynolds number and solids volume fraction, Powder Technol., 162, 166, 10.1016/j.powtec.2005.12.014 Hill, 2001, The first effects of fluid inertia on flows in ordered and random arrays of spheres, J. Fluid Mech., 448, 213, 10.1017/S0022112001005948 Hill, 2001, Moderate-Reynolds-number flows in ordered and random arrays of spheres, J. Fluid Mech., 448, 243, 10.1017/S0022112001005936 Renzo, 2004, Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes, Chem. Eng. Sci., 59, 525, 10.1016/j.ces.2003.09.037 Zhang, 1996, The calculation of contact forces between particles using spring and damping models, Powder Technol., 88, 59, 10.1016/0032-5910(96)03104-X Deen, 2007, Review of discrete particle modeling of fluidized beds, Chem. Eng. Sci., 62, 28, 10.1016/j.ces.2006.08.014 van Wachem, 2007, Derivation, simulation and validation of a cohesive particle flow CFD model, AIChE J., 54, 9, 10.1002/aic.11335 Salikov, 2015, Characterization and CFD-DEM modelling of a prismatic spouted bed, Powder Technol., 270, 622, 10.1016/j.powtec.2014.05.026 Radl, 2014, A drag model for filtered Euler–Lagrange simulations of clustered gas–particle suspensions, Chem. Eng. Sci., 117, 416, 10.1016/j.ces.2014.07.011 Courant, 1928, Über die partiellen differenzengleichungen der mathematischen physik, Math. Ann., 100, 32, 10.1007/BF01448839 Ferziger, 2002 Issa, 1986, Solution of the implicitly discretised fluid flow equations by operator-splitting, J. Comput. Phys., 62, 40, 10.1016/0021-9991(86)90099-9 Peng, 2016, A modified direct method for void fraction calculation in CFD–DEM simulations, Adv. Powder Technol., 27, 19, 10.1016/j.apt.2015.10.021 Wang, 2018, Direct calculation of voidage in the fine-grid CFD–DEM simulation of fluidized beds with large particles, Particuology, 40, 23, 10.1016/j.partic.2017.11.010 Marchelli, 2019, A CFD-DEM sensitivity analysis: the case of a pseudo-2D spouted bed, Powder Technol., 353, 409, 10.1016/j.powtec.2019.05.035 Stanly, 2018, Detailed analysis of recent drag models using multiple cases of mono-disperse fluidized beds with Geldart-B and Geldart-D particles, Chem. Eng. Sci., 188, 132, 10.1016/j.ces.2018.05.030 Grace, 1986, Contacting modes and behaviour classification of gas-solid and other two-phase suspensions, Can. J. Chem. Eng., 64, 353, 10.1002/cjce.5450640301 Kunii, 1991 Weller, 1998, A tensorial approach to computational continuum mechanics using object-oriented techniques, Comput. Phys., 12, 620, 10.1063/1.168744 Fernandes, 2018, Validation of the CFD-DPM solver DPMFoam in OpenFOAM® through analytical, numerical and experimental comparisons, Granul. Matter, 20, 10.1007/s10035-018-0834-x van Buijtenen, 2011, Numerical and experimental study on spout elevation in spout-fluidized beds, AIChE J., 58, 2524, 10.1002/aic.12765 Penn, 2018, Real-time magnetic resonance imaging of bubble behavior and particle velocity in fluidized beds, Ind. Eng. Chem. Res., 57, 9674, 10.1021/acs.iecr.8b00932 Boyce, 2019, Effect of liquid bridging on bubbles injected into a fluidized bed: a magnetic resonance imaging study, Powder Technol., 343, 813, 10.1016/j.powtec.2018.11.091