Self-similar diffuse boundary method for phase boundary driven flow
Self-similar diffuse boundary method for phase boundary driven flow
复制标题
相边界驱动流动的自相似扩散边界法
DOI：
10.1063/5.0107739
复制
发表时间：
2022-05
影响因子：
4.6
通讯作者：
E. Schmidt;J. M. Quinlan;B. Runnels
中科院分区：
文献类型：
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作者：
E. Schmidt;J. M. Quinlan;B. Runnels
发展中的固体和无粘流之间的相互作用会导致计算的复杂性，特别是在涉及固体和流体相之间的不同边界条件的情况下。这种相互作用的例子包括熔化、升华和爆燃，所有这些都表现出双向耦合、质量/热传递和固体-流体界面的拓扑变化。扩散界面法是一种强有力的技术，已被用来描述广泛的固相界面驱动的现象。界面的隐式处理消除了繁琐的界面跟踪的需要，并且自适应网格细化的进步提供了一种在没有过多计算成本的情况下充分解决扩散界面的方法。然而，这些技术与流解算器的一般尺度不变耦合相对未被探索。在这项工作中，一个强大的方法来处理扩散的固体-流体界面的任意边界条件。源项定义在扩散区域模仿边界条件在固-流界面，它表明，扩散长度尺度没有不利影响。为了显示该方法的有效性，一维的实施和测试三种类型的边界：通过边界的质量通量，移动边界，和被动相互作用的边界与入射声波。这些在所有情况下都证明了预期的行为。收敛性分析也进行了比较，对尖锐的界面解决方案，并观察到线性收敛。该方法为粘性流的推广和涉及时变质量通量边界的问题的解决奠定了基础。
Interactions between an evolving solid and inviscid flow can result insubstantial computational complexity, particularly in circumstances involving varied boundary conditions between the solid and fluid phases. Examples of such interactions include melting, sublimation, and deflagration, all of which exhibit bidirectional coupling, mass/heat transfer, and topological change of the solid-fluid interface. The diffuse interface method is a powerful technique that has been used to describe a wide range of solid-phase interface-driven phenomena. The implicit treatment of the interface eliminates the need for cumbersome interface tracking, and advances in adaptive mesh refinement have provided a way to sufficiently resolve diffuse interfaces without excessive computational cost. However, the general scale-invariant coupling of these techniques to flow solvers has been relatively unexplored. In this work, a robust method is presented for treating diffuse solid-fluid interfaces with arbitrary boundary conditions. Source terms defined over the diffuse region mimic boundary conditions at the solid-fluid interface, and it is demonstrated that the diffuse length scale has no adverse effects. To show the efficacy of the method, a one-dimensional implementation is introduced and tested for three types of boundaries: mass flux through the boundary, a moving boundary, and passive interaction of the boundary with an incident acoustic wave. These demonstrate expected behavior in all cases. Convergence analysis is also performed and compared against the sharp-interface solution, and linear convergence is observed. This method lays the groundwork for the extension to viscous flow, and the solution of problems involving time-varying mass-flux boundaries.