两相流体流动中表面活性剂的扩散界面建模与模拟
On diffuse interface modeling and simulation of surfactants in two-phase fluid flow
AI总结：
本文详细讨论了一种含单一可溶性表面活性剂的两相不相溶流体的相场模型，分析其适定性并指出在大量物理相关参数下模型数学上不适定，提出关键修改以扩大适用范围，并通过数值模拟验证理论结果和物理模型特性。
摘要：
详细讨论了现有的含单一可溶性表面活性剂的两相不相溶流体的相场模型。我们分析了该模型的适定性，并提供了强有力的证据表明，对于大量物理相关参数，该模型在数学上是不适定的。因此，提出了对模型的关键修改，显著增加了其有效域。精心设计的数值模拟为我们的理论结果的尖锐性和物理模型的特性提供了信息丰富的演示。一个完全耦合的流体动力学测试案例展示了捕捉对整体流动的非平凡效应的潜力。
英文摘要：
An existing phase-field model of two immiscible fluids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-posed for a large set of physically relevant parameters. As a consequence, critical modifications to the model are suggested that substantially increase the domain of validity. Carefully designed numerical simulations offer informative demonstrations as to the sharpness of our theoretical results and the qualities of the physical model. A fully coupled hydrodynamic test-case demonstrates the potential to capture also non-trivial effects on the overall flow.
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