Multi-material hydrodynamics with algebraic sharp interface capturing
Multi-material hydrodynamics with algebraic sharp interface capturing
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DOI：
10.1016/j.compfluid.2020.104804
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发表时间：
2021
影响因子：
2.8
通讯作者：
A. Pandare;J. Waltz;J. Bakosi
中科院分区：
文献类型：
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作者：
A. Pandare;J. Waltz;J. Bakosi
提出了一种具有锐界面捕捉的欧拉多物质流体动力学有限体积法。本文研究了具有有限速率压力松弛的压力-温度非平衡多物质系统的混合胞体问题。这种压力闭合有利于材料性质相关的压力松弛，而不是瞬时压力平衡，这反过来又允许使用未分裂的高阶时间积分器。在三维非结构网格上，采用改进的双曲线切线界面捕捉方法（THINC）重建多材料（> 2）界面。一个简单的修改，扩展THINC重建两种以上的材料之间的接口提出。结果表明，改进的THINC可以捕获2-4个四面体单元内的多材料界面。由于没有几何重建所需的THINC方法，所提出的多材料方法是算法简单，计算效率高。在物质界面上守恒量的一致重建确保了守恒和闭合定律在离散水平上得到满足。通过在非结构网格上求解一系列测试问题，表明该方法是一种有前途的候选准确和高效的多物质流体力学计算。
A finite volume method for Eulerian multi-material hydrodynamics with sharp interface capturing is presented. The pressure-temperature non-equilibrium multi-material system with finite-rate pressure relaxation in mixed-cells is considered here. This pressure closure facilitates material-property-dependent pressure relaxation, rather than instantaneous pressure equilibration, which in turn allows the use of unsplit high-order time-integrators. A modified tangent of hyperbola for interface capturing (THINC) method is used to reconstruct multi-material (> 2) interfaces, on three-dimensional unstructured meshes. A simple modification which extends the THINC reconstruction to interfaces between more than two materials is proposed. It is demonstrated that the modified THINC can capture multi-material interfaces within 2–4 tetrahedral cells. Since no geometric reconstructions are required by the THINC method, the presented multi-material method is algorithmically simple, and computationally efficient. Consistent reconstructions of conserved quantities at material interfaces ensure that conservation and closure laws are satisfied at the discrete level. Through a suite of test problems solved on unstructured meshes, it is demonstrated that the presented method is a promising candidate for accurate and efficient multi-material hydrodynamics computations.