Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 356, Issue -, Pages 199-219Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2019.07.019
Keywords
MPS; Meshless method; Accuracy; Laplacian model; Free surface
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We present a stable and accurate moving particle semi-implicit (MPS) for free-surface flows. For simulating free-surface flows, previous formulations using renormalized procedure is only applicable to interior particles. Poor accuracy of the free-surface particle in turn contaminate the overall solution accuracy. In this study, dummy particle is introduced to stabilize the renormalized Laplacian model on free surface and to enforce the free-surface condition. The proposed renormalized Laplacian model enables accurate pressure calculation for both internal and free-surface particles. Modification also includes a modified gradient model in which linear consistency is guaranteed and stability is enhanced by introducing dummy particle. The proposed MPS scheme provides a more accurate and stable simulation of incompressible free surface flows. Several two-dimensional numerical simulations are presented to demonstrate the enhanced performance of the proposed MPS method. (C) 2019 Elsevier B.V. All rights reserved.
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