SPH energy conservation for fluid–solid interactions
SPH energy conservation for fluid–solid interactions
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DOI：
10.1016/j.cma.2016.12.037
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发表时间：
2017-04
影响因子：
7.2
通讯作者：
J. Cercos-Pita;M. Antuono;A. Colagrossi;A. Souto-Iglesias
中科院分区：
文献类型：
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作者：
J. Cercos-Pita;M. Antuono;A. Colagrossi;A. Souto-Iglesias
本文研究了流固相互作用下光滑粒子流体动力学（SPH）的能量守恒性质。与流体相类似，固体通过固体颗粒来建模，使得整个固体-流体域可以被描述为唯一的颗粒系统。的压力和速度场，然后，以不同的方式扩展到固体颗粒，考虑到与SPH微分算子的一致性问题，并使用固体边界上的Navier-Stokes方程的投影。结果表明，当固体颗粒被认为是，粒子系统的能量方程包含一些额外的条款，取决于压力-速度场的扩展。这些额外项的存在并不影响SPH模型的一致性，因为当空间分辨率增加时，它们趋于消失。三个典型的数值测试案例被认为是为了提供一个定量的角度来看的问题，并确认的理论发展的文件。这些测试案例表明，这些项的性质是全局耗散的，因此符合热力学第二定律。特别是，粘性额外项显示了一个非常慢的收敛速度，这是一个相关的结果，为那些SPH从业者处理这些类型的流。
In the present work, the energy conservation properties of the Smoothed Particle Hydrodynamics (SPH) are investigated in the presence of fluid–solid interactions. Similarly to the fluid phase, the solid bodies are modeled through solid particles so that the whole solid–fluid domain can be described as a unique particle system. The pressure and velocity fields are, then, extended over the solid particles in different ways, taking into account consistency issues related to the SPH differential operators and using the projection of the Navier–Stokes equations on the solid boundary. It is shown that, when solid particles are considered, the energy equation of the particle system contains some extra terms that depend on the pressure–velocity field extensions. The presence of these extra terms does not affect the consistency of the SPH model, since they tend to vanish when the spatial resolution is increased. Three prototypical numerical test cases are considered in order to provide a quantitative perspective of the matter and confirm the theoretical developments of the paper. These test cases show that the nature of these terms is globally dissipative, being thus in accordance with the Second Law of Thermodynamics. In particular, the viscous extra term displays a remarkably slow rate of convergence, this being a relevant outcome for those SPH practitioners that deal with these types of flows.