Publications

Simulation of capillary-driven kinetics with multi-phase-field and lattice Boltzmann method

R. Schiedung, M. Tegeler, D. Medvedev, F. Varnik.

Modelling and Simulation in Materials Science and Engineering, 28, 065008, (2020)

In the first row, the distance (left) and the velocity (right) of two spherical particles are shown which have the radius R = 30 and are connected by a capillary bridge. The amounts of liquid are chosen in such a way that at t = 0 three different liquid to solid volume fractions are investigated, c = 0.2, c = 0.3, and c = 0.5. As inset picture, we show the configurations of the liquid and the solid particles at t = 0 and t = 5000 for a liquid fraction c = 0.2. Likewise, the second row shows the average distance and velocity of three particles forming an equilateral triangle. In the third raw the results of four-particles forming a tetrahedron are shown.

Abstract
We propose a combined computational approach based on the multi-phase-field and the lattice Boltzmann method for the motion of solid particles under the action of capillary forces. The accuracy of the method is analyzed by comparison with the analytic solutions for the motion of two parallel plates of finite extension connected by a capillary bridge. The method is then used to investigate the dynamics of multiple spherical solid bodies connected via capillary bridges. The amount of liquid connecting the spheres is varied, and the influence of the resulting liquid-morphology on their dynamics is investigated. It is shown that the method is suitable for a study of liquid-phase sintering which includes both phase transformation and capillary driven rigid body motion.

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