自由表面流动的界面抗扩散和差网格数值处理的发展与应用

V. Gupta, Mohib Khan, H. Punekar
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引用次数: 2

摘要

流体体积法(VOF)被广泛用于模拟自由表面流动。该模型提供了各种接口跟踪和捕获方案。基于界面几何重构的显式界面跟踪方案是最精确的,但计算量较大。另一方面,有基于代数公式的界面捕获方案,相对来说更具扩张性,但计算成本较低。这些界面捕获方案可用于隐式和显式体积分数公式。对于工业强度的情况,隐式方案的使用正在增加,因为它是速度和精度之间的一个很好的折衷。在网格划分如此复杂的几何形状时,需要在单元数和网格质量之间进行权衡。在用高质量的网格解决关键区域并使网格数量保持在可接受范围内的同时,有时某些区域的网格质量会受到影响。这些区域可能包含高度倾斜的细胞,具有高纵横比或高细胞跳跃的细胞。这样的网格可能存在收敛问题,使界面扩散问题恶化,导致结果不准确。在本工作中,在ANSYS Fluent R16中开发并实现了界面反扩散和差网格数值处理两种数值处理方法。界面防扩散处理有助于减少数值扩散,使界面更加锋利。较差的网格数值处理识别质量较差的单元,并应用适当的数值处理来帮助稳定性和收敛。报告了使用和不使用这些处理的测试用例和工业强度用例的结果。结果表明,采用这些处理方法可以提高测量的稳定性和精度。对于工业强度案例,计算结果与实验数据吻合较好。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Development and Application of Interfacial Anti-Diffusion and Poor Mesh Numerics Treatments for Free Surface Flows
Volume of Fluid (VOF) method is widely used to simulate free surface flows. There are various interface tracking and capturing schemes available with this model. The explicit interface tracking scheme based on geometrical reconstruction of the interface is the most accurate but computationally expensive. On the other hand, there are interface capturing schemes based on algebraic formulation that are comparatively more diffusive but computationally less expensive. These interface capturing schemes can be used with implicit and explicit volume fraction formulations. For industrial strength cases, the use of implicit schemes is increasing as it is a good compromise between speed and accuracy. In meshing such complex geometries, there is a tradeoff between the cell count and the quality of mesh. While resolving the key areas with good quality mesh and keeping the cell count within acceptable limit, sometimes quality of mesh in certain regions suffers. Such regions may contain highly skewed cells, cells with high aspect ratio or high cell-jumps. Such mesh can have issues in convergence, worsen the issue of interfacial diffusion and lead to inaccurate results. In the present work, two numerical treatments called interfacial anti-diffusion and poor mesh numerics are developed and implemented in ANSYS Fluent R16. Interfacial anti-diffusion treatment helps reduce the numerical diffusion and sharpen the interface. Poor mesh numerics treatment identifies cells with bad quality and applies appropriate numerical treatment to help stability and convergence. Results of test cases and an industrial strength case are reported with and without these treatments. It is shown that using these treatment results in improvement of stability and accuracy. For the industrial strength case, the results are in good agreement with the experimental data.
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