A moving eulerian-lagrangian particle method for thin film and foam simulation

College, USA Fig. 1. The dynamic formation of a double-bubble with intricate flow patterns, simulated by our proposed method. With the appropriate treatment of surface tension near the junction, two bubbles spontaneously settle into meeting angles of ≈ 120 • , recovering what is known as the Plateau border.

We present the Moving Eulerian-Lagrangian Particles (MELP), a novel meshfree method for simulating incompressible fluid on thin films and foams. Employing a bi-layer particle structure, MELP jointly simulates detailed, vigorous flow and large surface deformation at high stability and efficiency. In addition, we design multi-MELP: a mechanism that facilitates the physicallybased interaction between multiple MELP systems, to simulate bubble clusters and foams with non-manifold topological evolution. We showcase the efficacy of our method with a broad range of challenging thin film phenomena, including the Rayleigh-Taylor instability across double-bubbles, foam fragmentation with rim surface tension, recovery of the Plateau borders, Newton black films, as well as cyclones on bubble clusters.