A study on periodic boundary condition in direct numerical simulation for gas-solid flow

doi:10.1016/j.cjche.2019.04.025

Chinese Journal of Chemical Engineering ›› 2020, Vol. 28 ›› Issue (1): 236-241.DOI: 10.1016/j.cjche.2019.04.025

• Chemical Engineering Thermodynamics • Previous Articles Next Articles

A study on periodic boundary condition in direct numerical simulation for gas-solid flow

Shiwen Liu^1,2, Xiaowen Liu^1,2, Feiguo Chen¹, Limin Wang¹, Wei Ge^1,2

1 State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Chemical Engineering, University of Chinese Academy of Sciences, Beijing 100049, China

Received:2019-03-11 Revised:2019-04-23 Online:2020-03-31 Published:2020-01-28
Contact: Feiguo Chen, Wei Ge
Supported by:
Supported by the National Natural Science Foundation of China (21821005, 91834303), Science Challenge Project (TZ2016001), the Key Research Program of Frontier Science of the Chinese Academy of Sciences (QYZDJ-SSW-JSC029) and the Strategic Priority Research Program of the CAS (XDA21030700).

A study on periodic boundary condition in direct numerical simulation for gas-solid flow

Shiwen Liu^1,2, Xiaowen Liu^1,2, Feiguo Chen¹, Limin Wang¹, Wei Ge^1,2

1 State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Chemical Engineering, University of Chinese Academy of Sciences, Beijing 100049, China

通讯作者: Feiguo Chen, Wei Ge
基金资助:
Supported by the National Natural Science Foundation of China (21821005, 91834303), Science Challenge Project (TZ2016001), the Key Research Program of Frontier Science of the Chinese Academy of Sciences (QYZDJ-SSW-JSC029) and the Strategic Priority Research Program of the CAS (XDA21030700).

Abstract

Abstract: Direct numerical simulation (DNS) of gas-solid flow at high resolution has been carried out by coupling the lattice Boltzmann method (LBM) for gas flow and the discrete element method (DEM) for solid particles. However, the body force periodic boundary condition (FPBC) commonly used to cut down the huge computational cost of such simulation has faced accuracy concerns. In this study, a novel two-region periodic boundary condition (TPBC) is presented to remedy this problem, with the flow driven in the region with body force and freely evolving in the other region. With simulation cases for simple circulating fluidized bed risers, the validity and advantages of TPBC are demonstrated with more reasonable heterogeneity of the particle distribution as compared to the corresponding case with FPBC.

Key words: Direct numerical simulation, Periodic boundary condition, Two-region periodic boundary condition, Gas-solid flow, Heterogeneity

摘要： Direct numerical simulation (DNS) of gas-solid flow at high resolution has been carried out by coupling the lattice Boltzmann method (LBM) for gas flow and the discrete element method (DEM) for solid particles. However, the body force periodic boundary condition (FPBC) commonly used to cut down the huge computational cost of such simulation has faced accuracy concerns. In this study, a novel two-region periodic boundary condition (TPBC) is presented to remedy this problem, with the flow driven in the region with body force and freely evolving in the other region. With simulation cases for simple circulating fluidized bed risers, the validity and advantages of TPBC are demonstrated with more reasonable heterogeneity of the particle distribution as compared to the corresponding case with FPBC.

关键词: Direct numerical simulation, Periodic boundary condition, Two-region periodic boundary condition, Gas-solid flow, Heterogeneity

Shiwen Liu, Xiaowen Liu, Feiguo Chen, Limin Wang, Wei Ge. A study on periodic boundary condition in direct numerical simulation for gas-solid flow[J]. Chinese Journal of Chemical Engineering, 2020, 28(1): 236-241.

Shiwen Liu, Xiaowen Liu, Feiguo Chen, Limin Wang, Wei Ge. A study on periodic boundary condition in direct numerical simulation for gas-solid flow[J]. 中国化学工程学报, 2020, 28(1): 236-241.

References

[1] R.J. Hill, D.L. Koch, A.J.C. Ladd, Moderate-Reynolds-number flows in ordered and random arrays of spheres, J. Fluid Mech. 448(2001) 243-278.
[2] R.J. Hill, D.L. Koch, A.J.C. Ladd, The first effects of fluid inertia on flows in ordered and random arrays of spheres, J. Fluid Mech. 448(2001) 213-241.
[3] G.R. McNamara, G. Zanetti, Use of the Boltzmann equation to simulate lattice-gas automata, Phys. Rev. Lett. 61(1988) 2332.
[4] P.A. Cundall, O.D.L. Strack, A discrete numerical model for granular assemblies, Geotechnique. 29(1979) 47-65.
[5] S.S. Kriebitzsch, V.D.M.M. Hoef, J.H. Kuipers, Fully resolved simulation of a gasfluidized bed:A critical test of DEM models, Chem. Eng. Sci. 91(2013) 1-4.
[6] J. Capecelatro, O. Desjardins, R.O. Fox, On fluid-particle dynamics in fully developed cluster-induced turbulence, J. Fluid Mech. 780(2015) 578-635.
[7] K. Luo, J. Tan, Z. Wang, J. Fan, Particle-resolved direct numerical simulation of gassolid dynamics in experimental fluidized beds, AIChE J. 62(2016) 1917-1932.
[8] J.R. Third, Y. Chen, C.R. Muller, Comparison between finite volume and latticeBoltzmann method simulations of gas-fluidised beds:bed expansion and particle-fluid interaction force, Comput. Part. Mech. 3(2016) 373-381.
[9] A. Esteghamatian, M. Bernard, M. Lance, A. Hammouti, A. Wachs, Micro/meso simulation of a fluidized bed in a homogeneous bubbling regime, Int. J. Multiph. Flow. 92(2017) 93-111.
[10] P.A. Skordos, Initial and boundary conditions for the lattice Boltzmann method, Phys. Rev. E 48(1993) 4823-4842.
[11] M. Wang, Y.T. Feng, Y. Wang, T. Zhao, Periodic boundary conditions of discrete element method-lattice Boltzmann method for fluid-particle coupling, Granul. Matter 19(2017) 43.
[12] C. Thornton, Numerical simulations of deviatoric shear deformation of granular media, Geotechnique. 50(2000) 43-53.
[13] L. Cui, C. Osullivan, S. Oneill, An analysis of the triaxial apparatus using a mixed boundary three-dimensional discrete element model, Geotechnique. 57(2007) 831-844.
[14] W. Yang, Z. Zhou, D. Pinson, A. Yu, Periodic boundary conditions for discrete element method simulation of particle flow in cylindrical vessels, Ind. Eng. Chem. Res. 53(2014) 8245-8256.
[15] F. Radjai, F. Dubois, Element Modeling of Granular Materials, 425P, Wiley-Iste, France, 2011978-1-84821-260-2. .
[16] J. Zhang, D.Y. Kwok, Pressure boundary condition of the lattice Boltzmann method for fully developed periodic flows, Phys. Rev. E 73(2006), 47702.
[17] S.H. Kim, H. Pitsch, A generalized periodic boundary condition for lattice Boltzmann method simulation of a pressure driven flow in a periodic geometry, Phys. Fluids 19(2007), 108101.
[18] O. Graser, A. Grimm, Adaptive generalized periodic boundary conditions for lattice Boltzmann simulations of pressure-driven flows through confined repetitive geometries, Phys. Rev. E 82(2010), 16702.
[19] H.E.A. Van Den Akker, Toward a truly multiscale computational strategy for simulating turbulent wwo-phase flow processes, Ind. Eng. Chem. Res. 49(2010) 10780-10797.
[20] Q. Xiong, B. Li, G. Zhou, X. Fang, J. Xu, J. Wang, X. He, X. Wang, L. Wang, W. Ge, Largescale DNS of gas-solid flows on Mole-8.5, Chem. Eng. Sci. 71(2012) 422-430.
[21] S. Tenneti, S. Subramaniam, Particle-resolved direct numerical simulation for gassolid flow model development, Annu. Rev. Fluid Mech. 46(2014) 199-230.
[22] G. Zhou, Q. Xiong, L. Wang, X. Wang, X. Ren, W. Ge, Structure-dependent drag in gas-solid flows studied with direct numerical simulation, Chem. Eng. Sci. 116(2014) 9-22.
[23] M.J. Cernick, S.W. Tullis, M.F. Lightstone, Particle subgrid scale modelling in largeeddy simulations of particle-laden turbulence, J. Turbul. 16(2015) 101-135.
[24] X. Liu, L. Wang, W. Ge, Meso-scale statistical properties of gas-solid flow a direct numerical simulation (DNS) study, AIChE J. 63(2017) 3-14.
[25] L. Reh, The circulating fluid bed reactor:its main features and applications, Chem. Eng. Process. 20(1986) 117-127.
[26] C.S. Peskin, Flow patterns around heart valves:a numerical method, J. Comput. Phys. 10(1972) 252-271.
[27] C.S. Peskin, The immersed boundary method, Acta Numer. 11(2002) 479-517.
[28] V.A. Luchnikov, N.N. Medvedev, L. Oger, J.P. Troadec, Voronoi-Delaunay analysis of voids in systems of nonspherical particles, Phys. Rev. E 59(1999) 7205-7212.
[29] S.S. Kriebitzsch, V.D.M.M. Hoef, J.H. Kuipers, Drag force in discrete particle models-Continuum scale or single particle scale? AIChE J. 59(2013) 316-324.

A study on periodic boundary condition in direct numerical simulation for gas-solid flow

A study on periodic boundary condition in direct numerical simulation for gas-solid flow

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[2]	Jiawei Liao, Litao Zhu, Zhenghong Luo. Heterogeneity analysis of gas-solid flow hydrodynamics in a pilot-scale fluidized bed reactor [J]. Chinese Journal of Chemical Engineering, 2022, 50(10): 117-129.
[3]	Dailin Chen, Xuejiao Liu, Ziwen Sun, Wenqi Zhong, Baosheng Jin. Experiments on particle cluster behaviors in a fast fluidized bed [J]. , 2017, 25(9): 1153-1162.
[4]	Xuejiao Sun, Jinpeng Miao, Jing Xiao, Qibin Xia, Zhenxia Zhao. Heterogeneity of Adsorption Sites and Adsorption Kinetics of n-Hexane on Metal-Organic Framework MIL-101(Cr) [J]. , 2014, 22(9): 962-967.
[5]	LIU Suyu, RONG Gang . Analysis on Refinery System as a Complex Task-resource Network [J]. Chin.J.Chem.Eng., 2013, 21(3): 253-262.
[6]	WANG Fang, XU Chunxiao, ZHOU Lixing. Validation of the RANS-SOM Combustion Model Using Direct Numerical Simulation of Incompressible Turbulent Reacting Flows [J]. , 2008, 16(5): 679-685.
[7]	LIU Chunrong, GUO Yincheng. Mechanisms for particle clustering in upward gas-solid flows [J]. , 2006, 14(2): 141-148.
[8]	HUANG Weixing, ZHU Jingxu. An Experimental Investigation on Solid Acceleration Length in the Riser of a Long Circulating Fluidized Bed [J]. , 2001, 9(1): 70-76.
[9]	Gao Jinsen, Xu Chunming, Yang Guanghua, Guo Yincheng, Lin Wenyi. Numerical Simulation on Gas-Solid Two-Phase Turbulent Flow in FCC Riser Reactors (I) Turbulent Gas-Solid Flow-Reaction Model [J]. , 1998, 6(1): 12-20.