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An advanced moving particle semi-implicit method for accurate and stable simulation of incompressible flows

机译:一种先进的运动粒子半隐式方法,用于精确,稳定地模拟不可压缩流

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An advanced moving particle semi-implicit (MPS) method for the simulation of incompressible flows that provides enhanced accuracy and stability is proposed. Up to now, existing high-order accurate MPS pressure gradient schemes suffer from instability produced by attractive pressure gradient while some stabilized pressure gradient schemes have the shortcomings of large discretization error. We propose a high-order stabilized gradient model in which first-order Taylor-series consistency is ensured and stability is guaranteed by purely repulsive pressure gradient. Laplacian model and divergence model are modified and enable accurate and stable solution for the pressure Poisson equation (PPE). The proposed MPS scheme provides a more accurate and stable simulation of incompressible flows. Several two-dimensional numerical simulations are presented to demonstrate the enhanced performance of the proposed MPS method. (C) 2018 Elsevier B.V. All rights reserved.
机译:提出了一种先进的运动粒子半隐式(MPS)方法,用于模拟不可压缩流,它提供了增强的准确性和稳定性。迄今为止,现有的高阶精确MPS压力梯度方案存在着由有吸引力的压力梯度产生的不稳定性,而一些稳定的压力梯度方案具有离散误差大的缺点。我们提出了一个高阶稳定梯度模型,该模型可确保一阶泰勒级数一致性,并通过纯斥力压力梯度来保证稳定性。修改了拉普拉斯模型和散度模型,并为压力泊松方程(PPE)提供了准确而稳定的解决方案。所提出的MPS方案为不可压缩流提供了更准确和稳定的模拟。提出了几个二维数值模拟,以证明所提出的MPS方法的增强性能。 (C)2018 Elsevier B.V.保留所有权利。

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