Abstract
As a meshfree particle method, the Moving Particle Semi-implicit (MPS) method is ideally suited for simulating the complicated behaviour of water surface with fragmentation. In this paper, the original formulations of MPS method are revisited from the view point of momentum conservation. Modifications and corrections are made to ensure the momentum conservation in a particle-based calculation of viscous incompressible free-surface flows. The excellent performance of Corrected MPS (CMPS) method in the exact (and nearly exact) conservation of linear (and angular) momentum is shown by a simple numerical test. The CMPS method is then applied to the simulation of wave breaking and post-breaking. Refined simulation of a solitary plunging breaker and resultant splash-up is demonstrated through comparisons with experiment. A tensor-type strain-based viscosity is also proposed for further enhanced CMPS reproduction of splash-up.
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