Tetrahedral adaptive mesh refinement for two‐phase flows using conservative level‐set method
Tetrahedral adaptive mesh refinement for two‐phase flows using conservative level‐set method
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DOI：
10.1002/fld.4893
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发表时间：
2020-08
影响因子：
1.8
通讯作者：
O. Antepara;N. Balcázar;A. Oliva
中科院分区：
文献类型：
--
作者：
O. Antepara;N. Balcázar;A. Oliva
在本文中，我们描述了使用四面体网格的两相流的并行自适应网格细化策略。所提出的方法包括将保守的水平集方法与有限体积框架内的四面体自适应网格相结合。我们的自适应算法应用基于单元的细化技术，并根据两阶段应用程序定义的基于物理的细化标准来调整网格。新的适应四面体网格是通过输入网格的网格操作获得的：细化和粗化操作，直到达到最大细化水平。对于四面体单元的细化方法，考虑几何特征以保持细分单元的形状质量。本方法用于模拟具有表面张力的两相流，以展示 3D 自适应四面体网格的能力和精度，从而在这方面带来新的数值研究。最后，这种方法的适用性在对规则和复杂域上静态粘性液体中单个气泡/液滴的重力驱动运动的研究中得到了证明。
In this article, we describe a parallel adaptive mesh refinement strategy for two‐phase flows using tetrahedral meshes. The proposed methodology consists of combining a conservative level‐set method with tetrahedral adaptive meshes within a finite volume framework. Our adaptive algorithm applies a cell‐based refinement technique and adapts the mesh according to physics‐based refinement criteria defined by the two‐phase application. The new adapted tetrahedral mesh is obtained from mesh manipulations of an input mesh: operations of refinement and coarsening until a maximum level of refinement is achieved. For the refinement method of tetrahedral elements, geometrical characteristics are taking into consideration to preserve the shape quality of the subdivided elements. The present method is used for the simulation of two‐phase flows, with surface tension, to show the capability and accuracy of 3D adapted tetrahedral grids to bring new numerical research in this context. Finally, the applicability of this approach is shown in the study of the gravity‐driven motion of a single bubble/droplet in a quiescent viscous liquid on regular and complex domains.