Modelling of surface tension force for free surface flows in ISPH method
Modelling of surface tension force for free surface flows in ISPH method
复制标题
ISPH 方法中自由表面流的表面张力建模
DOI：
10.1108/09615531311301263
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发表时间：
2013
影响因子：
4.2
通讯作者：
Y. Sonoda
中科院分区：
文献类型：
--
作者：
A. M. Aly;M. Asai;Y. Sonoda
目的-本文的目的是展示如何将基于Smagorinsky亚网格尺度模型的表面张力模型和涡粘性模型（属于湍流大涡模拟（LES）理论）引入ISPH（不可压缩光滑粒子流体动力学）方法。此外，压力泊松方程的源项的一个小的修改已被引入作为稳定器的鲁棒模拟。这种稳定产生一个平滑的压力分布，并保持流体的总体积，它是类似于最近的修改MPS。设计/方法/方法，在自由表面流的表面张力进行评估，而不直接建模周围的空气，以减少计算成本。通过计算无重力下立方液滴自由表面界面的表面张力和不同分辨率模型下的牛奶冠问题，验证了所提出的模型。最后，涡粘性的影响进行了讨论与流体-流体相互作用simulation.Findings-From数值试验，表面张力模型可以处理自由表面张力问题，包括高曲率，而无需特殊处理。涡粘性对飞溅有明显的调节作用，减小了相互作用中自由表面的变形。最后，在压力Poisson方程的源项中所提出的稳定化方法对保持流体的总体积在模拟中具有重要的作用。独创性/价值-一个不可压缩的光滑粒子流体动力学被开发来模拟牛奶冠问题，使用表面张力模型和涡粘性。
Purpose–The purpose of this paper is to show how a surface tension model and an eddy viscosity based on the Smagorinsky sub‐grid scale model, which belongs to the Large‐Eddy Simulation (LES) theory for turbulent flow, have been introduced into ISPH (Incompressible smoothed particle hydrodynamics) method. In addition, a small modification in the source term of pressure Poisson equation has been introduced as a stabilizer for robust simulations. This stabilization generates a smoothed pressure distribution and keeps the total volume of fluid, and it is analogous to the recent modification in MPS.Design/methodology/approach–The surface tension force in free surface flow is evaluated without a direct modeling of surrounding air for decreasing computational costs. The proposed model was validated by calculating the surface tension force in the free surface interface for a cubic‐droplet under null‐gravity and the milk crown problem with different resolution models. Finally, effects of the eddy viscosity have been discussed with a fluid‐fluid interaction simulation.Findings–From the numerical tests, the surface tension model can handle free surface tension problems including high curvature without special treatments. The eddy viscosity has clear effects in adjusting the splashes and reduces the deformation of free surface in the interaction. Finally, the proposed stabilization appeared in the source term of pressure Poisson equation has an important role in the simulation to keep the total volume of fluid.Originality/value–An incompressible smoothed particle hydrodynamics is developed to simulate milk crown problem using a surface tension model and the eddy viscosity.