Numerical investigation of the breakdown of continuum descriptions in fluid flow

该研究计划的重点是加深我们对复杂流体流动的潜在机制的理解。这项研究的一个主要目标是开发能够结合广泛的流体颗粒相互作用的理论和数值工具，这些工具也可以用于估计连续介质流动模型中的输运系数，以及检测连续介质假设的崩溃。为了实现这一目标，将发展一种随机相空间描述和相应的基于粒子的数值模型。

The research program focuses on furthering our understanding of the underlying mechanisms responsible for complex fluid flow. A major goal of the research is to develop theoretical and numerical tools capable of incorporating a broad range of fluid particle interactions, that can also be used to estimate transport coefficients in continuum flow models, as well as to detect the breakdown of the continuum assumption. To achieve this goal, a stochastic phase-space description and a corresponding particle-based numerical model will be developed.