标题： 统计和概率建模的粒子云与湍流流体耦合 显示英文标题

标题： Statistical and probabilistic modeling of a cloud of particles coupled with a turbulent fluid

摘要： 本文提出了一种新颖的探索性形式主义，其最终目标是数值模拟与湍流流体弱耦合或强耦合的粒子云的动力学。 鉴于作者名单中广泛的专业知识，本文内容涵盖了从湍流物理到随机过程严格定义的一系列相关概念。 我们的方法是为承载相和被承载相的动力学开发降阶模型，这些模型在该形式主义内保持一致，并建立一种数值过程来验证这些模型。 本文的新颖之处在于在共同框架和一致术语下汇集了大量数学和物理定义及结果（第1和第2节），以及在此背景下的一些初步结果和成果，第3节。 虽然前三个部分简化为气体场的背景，其中分散相仅通过曳力获取能量，但第四节将此研究扩展到更复杂的情况，即分散相与连续相相互作用，且以能量守恒的方式进行。 这将使我们能够阐述项目的前景并得出结论。 显示英文摘要

摘要： This paper exposes a novel exploratory formalism, which end goal is the numerical simulation of the dynamics of a cloud of particles weakly or strongly coupled with a turbulent fluid. Giventhe large panel of expertise of the list of authors, the content of this paper scans a wide range of connexnotions, from the physics of turbulence to the rigorous definition of stochastic processes. Our approachis to develop reduced-order models for the dynamics of both carrying and carried phases which remainconsistant within this formalism, and to set up a numerical process to validate these models. Thenovelties of this paper lie in the gathering of a large panel of mathematical and physical definitionsand results within a common framework and an agreed vocabulary (sections 1 and 2), and in somepreliminary results and achievements within this context, section 3. While the first three sections havebeen simplified to the context of a gas field providing that the disperse phase only retrieves energythrough drag, the fourth section opens this study to the more complex situation when the dispersephase interacts with the continuous phase as well, in an energy conservative manner. This will allowus to expose the perspectives of the project and to conclude.