Integration schemes and damping algorithms in distinct element models

被引:50
作者
Fraige, FY [1 ]
Langston, PA [1 ]
机构
[1] Univ Nottingham, Sch Chem Environm & Min Engn, Nottingham NG7 2RD, England
关键词
distinct element method (DEM); granular flow; numerical integration; damping; mathematical modelling; particle dynamics;
D O I
10.1163/156855204773644454
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
Computational run times in distinct element method (DEM) simulations of granular flow can be large and limit the size of the system being modeled. Hence, it is important to use efficient numerical integration schemes. This paper investigates some numerical integration schemes for their accuracy, stability and computational efficiency. It also investigates the effect of different particle contact damping algorithms on the model mathematical accuracy and stability. It is shown that the half-step leapfrog Verlet algorithm is the best integration scheme, while Enter is poor in terms of accuracy. Non-linear damping has been shown in the literature to be more realistic in terms of experimental data on particle impact coefficient of restitution. This was reproduced here. This paper also shows that non-linear damping reduces the mathematical error in the integration scheme because the force change is less discontinuous. However, in particle assembly simulations, filling a hopper, the non-linear damping model was less stable, probably because less energy is dissipated at low velocities.
引用
收藏
页码:227 / 245
页数:19
相关论文
共 19 条
[1]   Energy monitoring in distinct element models of particle systems [J].
Asmar, BN ;
Langston, PA ;
Matchett, AJ ;
Walters, JK .
ADVANCED POWDER TECHNOLOGY, 2003, 14 (01) :43-69
[2]   Validation tests on a distinct element model of vibrating cohesive particle systems [J].
Asmar, BN ;
Langston, PA ;
Matchett, AJ ;
Walters, JK .
COMPUTERS & CHEMICAL ENGINEERING, 2002, 26 (06) :785-802
[3]   DEM simulation of industrial particle flows: case studies of dragline excavators, mixing in tumblers and centrifugal mills [J].
Cleary, PW .
POWDER TECHNOLOGY, 2000, 109 (1-3) :83-104
[4]   DISCRETE NUMERICAL-MODEL FOR GRANULAR ASSEMBLIES [J].
CUNDALL, PA ;
STRACK, ODL .
GEOTECHNIQUE, 1979, 29 (01) :47-65
[5]   Assessment of discrete element method for one ball bouncing in a grinding mill [J].
Dong, H ;
Moys, MH .
INTERNATIONAL JOURNAL OF MINERAL PROCESSING, 2002, 65 (3-4) :213-226
[6]   An approach to simulate the motion of spherical and non-spherical fuel particles in combustion chambers [J].
Dziugys, A ;
Peters, B .
GRANULAR MATTER, 2001, 3 (04) :231-265
[7]  
Haile J. M., 1992, MOL DYNAMICS SIMULAT
[8]   Granular dynamics simulation of segregation phenomena in bubbling gas-fluidised beds [J].
Hoomans, BPB ;
Kuipers, JAM ;
van Swaaij, WPM .
POWDER TECHNOLOGY, 2000, 109 (1-3) :41-48
[9]  
LANGSTON P, 1995, THESIS SURREY U
[10]   DISCRETE ELEMENT SIMULATION OF GRANULAR FLOW IN 2D AND 3D HOPPERS - DEPENDENCE OF DISCHARGE RATE AND WALL STRESS ON PARTICLE INTERACTIONS [J].
LANGSTON, PA ;
TUZUN, U ;
HEYES, DM .
CHEMICAL ENGINEERING SCIENCE, 1995, 50 (06) :967-987