Particle flow simulations with homogenised lattice Boltzmann methods--颗粒学报PARTICUOLOGY

Krause, M. J., Klemens, F., Henn, T., Trunk, R., & Nirschl, H. (2017). Particle flow simulations with homogenised lattice Boltzmann methods. Particuology, 34, 1-13. https://doi.org/10.1016/j.partic.2016.11.001

Particle flow simulations with homogenised lattice Boltzmann methods

Mathias J. Krause ^{a b}, Fabian Klemens ^a *, Thomas Henn ^a, Robin Trunk ^b, Hermann Nirschl ^b

a Institute for Applied and Numerical Mathematics, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany
b Institute for Mechanical Process Engineering and Mechanics, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany

10.1016/j.partic.2016.11.001

Volume 34, October 2017, Pages 1-13

Received 9 June 2016, Revised 30 September 2016, Accepted 20 November 2016, Available online 11 March 2017, Version of Record 12 August 2017.

E-mail: fabian.klemens@kit.edu

Highlights

• Computational method was proposed to simulate arbitrarily shaped particles submersed in fluid.

• Advantages of LBM were retained, e.g. simple structure of the algorithm, parallel efficiency.

• Compared to immersed boundary method, the proposed method can avoid cost-intensive interpolations.

• The scheme was validated by grid independence studies and simulation of particle sedimentation.

Abstract

An alternative approach to simulating arbitrarily shaped particles submersed in viscous fluid in two dimensions is proposed, obtained by adapting the velocity parameter of the equilibrium distribution function of a standard lattice Boltzmann method (LBM). Comparisons of exemplifying simulations to results in the literature validate the approach as well as the convergence analysis. Pressure fluctuations occurring in Ladd's approach are greatly reduced. In comparison with the immersed boundary method, this approach does not require cost intensive interpolations. The parallel efficiency of LBM is retained. An intrinsic momentum transfer is observed during particle–particle collisions. To demonstrate the capabilities of the approach, sedimentation of particles of several shapes is simulated despite omitting an explicit particle collision model.

Graphical abstract

Keywords

Particulate flow simulations; Arbitrarily shaped particles; Lattice Boltzmann methods; Validation; Sedimentation processes

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