Direct-forcing immersed boundary lattice Boltzmann simulation of particle/fluid interactions for spherical and non-spherical particles--颗粒学报PARTICUOLOGY

Eshghinejadfard, A., Abdelsamie, A., Janiga, G., & Thévenin, D. (2016). Direct-forcing immersed boundary lattice Boltzmann simulation of particle/fluid interactions for spherical and non-spherical particles. Particuology, 25, 93-103. https://doi.org/10.1016/j.partic.2015.05.004

Direct-forcing immersed boundary lattice Boltzmann simulation of particle/fluid interactions for spherical and non-spherical particles

A. Eshghinejadfard ^*, A. Abdelsamie, G. Janiga, D. Thévenin

Laboratory of Fluid Dynamics and Technical Flows, University of Magdeburg “Otto von Guericke”, Universitätsplatz 2, 39106 Magdeburg, Germany

10.1016/j.partic.2015.05.004

Volume 25, April 2016, Pages 93-103

Received 15 November 2014, Accepted 22 May 2015, Available online 20 August 2015, Version of Record 18 February 2016.

E-mail: amir.eshghinejadfard@ovgu.de

Highlights

• Particle flows were simulated using an immersed boundary lattice Boltzmann method (IB-LBM).

• Excellent results were obtained for simulating different 2D and 3D particle flows.

• A version of IB-LBM has been developed for non-spherical particles.

• Added mass and corrected radius impact the accuracy of the results and should be included.

• Forcing scheme has a noticeable effect when considering several particles.

Abstract

The lattice Boltzmann method (LBM) is a useful technique for simulating multiphase flows and modeling complex physics. Specifically, we use LBM combined with a direct-forcing (DF) immersed boundary (IB) method to simulate fluid–particle interactions in two-phase particulate flows. Two grids are used in the simulation: a fixed uniform Eulerian grid for the fluid phase and a Lagrangian grid that is attached to and moves with the immersed particles. Forces are calculated at each Lagrangian point. To exchange numerical information between the two grids, discrete delta functions are used. The resulting DF IB-LBM approach is then successfully applied to a variety of reference flows, namely the sedimentation of one and two circular particles in a vertical channel, the sedimentation of one or two spheres in an enclosure, and a neutrally buoyant prolate spheroid in a Couette flow. This last application proves that the developed approach can be used also for non-spherical particles. The three forcing schemes and the different factors affecting the simulation (added mass effect, corrected radius) are also discussed.

Graphical abstract

Keywords

Immersed boundary method; Lattice Boltzmann; Particulate flow; Forcing method

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