论文标题
一种统一的算法，用于与不可压缩流体的界面流
A unified algorithm for interfacial flows with incompressible and compressible fluids
论文作者
论文摘要
界面两相流的大多数可用数值算法要么将两个流体相视为不可压缩的（恒定密度），要么将两个相视为可压缩的（可变密度）。这对预测许多两相流量（例如亚音速燃料注入）的预测有一个限制，因为由于液体的压力密度非常温度耦合，因此将这两个阶段视为可压缩的阶段在计算上是昂贵的。因此，具有处理一个相可压缩和另一个相不可压缩的能力的框架具有改善计算性能的重要潜力，并且仍然捕获所有重要的物理机制。我们提出了一种数值算法，该算法可以模拟所有马赫数制度中的界面流，范围从$ m = 0 $到$ m> 1 $，包括界面流，其中可压缩和不可压缩的流体在相同的基于压力的框架和保守的有限范围内置化中相互作用。对于仅具有不可压缩流体或仅具有可压缩流体的界面流，提出的基于压力的算法和有限体积的离散化降低到文献中已经呈现的数值框架。代表性的测试用例用于验证所提出的算法，包括与声波，冲击波和稀疏风扇的混合压缩不可压缩的界面流。
The majority of available numerical algorithms for interfacial two-phase flows either treat both fluid phases as incompressible (constant density) or treat both phases as compressible (variable density). This presents a limitation for the prediction of many two-phase flows, such as subsonic fuel injection, as treating both phases as compressible is computationally expensive due to the very stiff pressure-density-temperature coupling of liquids. A framework with the capability of treating one phase compressible and the other phase incompressible, therefore, has a significant potential to improve the computational performance and still capture all important physical mechanisms. We propose a numerical algorithm that can simulate interfacial flows in all Mach number regimes, ranging from $M=0$ to $M > 1$, including interfacial flows in which compressible and incompressible fluids interact, within the same pressure-based framework and conservative finite-volume discretisation. For interfacial flows with only incompressible fluids or with only compressible fluids, the proposed pressure-based algorithm and finite-volume discretisation reduce to numerical frameworks that have already been presented in the literature. Representative test cases are used to validate the proposed algorithm, including mixed compressible-incompressible interfacial flows with acoustic waves, shock waves and rarefaction fans.
