Comparison of kinetic theory and discrete element schemes for modelling granular Couette flows

• Discrete element based simulations of granular flow in a 2d velocity space are compared with a particle code that solves kinetic granular flow equations in two and three dimensions. The binary collisions of the latter are governed by the same forces as for the discrete elements. Both methods are applied to a granular shear flow of equally sized discs and spheres. The two dimensional implementation of the kinetic approach shows excellent agreement with the results of the discrete element simulations. When changing to a three dimensional velocity space, the qualitative features of the flow are maintained. However, some flow properties change quantitatively.

Author: Lars Popken, Paul W. Cleary urn:nbn:de:hbz:386-kluedo-6048 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (198) Preprint English 1999 1999 Technische Universität Kaiserslautern 2000/04/03 Kinetic theory ; discrete element method ; granular flow ; shear flow This work has been submitted to Academic Press, Journal of Computational Physics for possible publication. Copyright may be transferred without notice, after which this version may no longer be accessible. Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik 65-XX NUMERICAL ANALYSIS / 65Cxx Probabilistic methods, simulation and stochastic differential equations (For theoretical aspects, see 68U20 and 60H35) / 65C05 Monte Carlo methods 76-XX FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX) / 76Fxx Turbulence [See also 37-XX, 60Gxx, 60Jxx] / 76F10 Shear flows 82-XX STATISTICAL MECHANICS, STRUCTURE OF MATTER / 82Bxx Equilibrium statistical mechanics / 82B40 Kinetic theory of gases 82-XX STATISTICAL MECHANICS, STRUCTURE OF MATTER / 82Bxx Equilibrium statistical mechanics / 82B80 Numerical methods (Monte Carlo, series resummation, etc.) [See also 65-XX, 81T80] Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011
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