A remedy for numerical oscillations in weakly compressible smoothed particle hydrodynamics
A remedy for numerical oscillations in weakly compressible smoothed particle hydrodynamics
复制标题
DOI：
10.1002/fld.2406
复制
发表时间：
2011-11-30
影响因子：
1.8
通讯作者：
Manzari, M. T.
中科院分区：
文献类型：
--
作者：
Fatehi, R.;Manzari, M. T.
弱可压缩光滑粒子流体力学（WCSPH）在模拟不可压缩流动问题时会导致压力场和密度场的非物理振荡。这反过来可能导致张力不稳定，有时还会出现发散。本文指出，这种困难源于求解质量守恒方程时压力项的空间离散化的特殊形式。在描述了与所谓的配位网格方法相关的压力-速度解耦问题之后，提出了一种改进的方法，该方法使用不同的压力二阶导数离散化方案来克服这一问题。采用改进的方案解决了包括单相和两阶段测试用例在内的一系列基准问题。版权所有John Wiley & Sons， Ltd。
Weakly Compressible Smoothed Particle Hydrodynamics (WCSPH) can lead to non-physical oscillations in the pressure and density fields when simulating incompressible flow problems. This in turn may result in tensile instability and sometimes divergence. In this paper, it is shown that this difficulty originates from the specific form of spatial discretization used for the pressure term when solving the mass conservation equation. After describing the pressure-velocity decoupling problem associated with the so-called colocated grid methods, a modified approach is presented that overcomes this problem using a different discretization scheme for the second derivative of pressure. The modified scheme is employed for solving a number of benchmark problems including both single-phase and two-phase test cases. Copyright (C) 2010 John Wiley & Sons, Ltd.