Phase field modelling in phase transition problems

在德法合作的框架内，我们计划发展和研究一个能够描述离散通道的相场模型（在连续介质方法的极限下）的临界点--从单相超临界态到临界点附近的两相亚临界态--以及二元流体从连续不混溶态到混溶态的法拉第不稳定性。基础和微重力环境。这两个问题与大的工业应用无法找到一个合适的理论描述，直到现在。我们计划使用相场方法来解决这两个问题。德国团队在不同情况下的相场建模方面拥有丰富的经验（超过10年），例如倾斜固体表面上初始薄膜的接触线问题（液滴的形成），液滴的聚结或Marangoni流的发生。法国团队在不混溶/混溶流体系统的物理学和稳定性（10多年）以及近临界流物理学（近20年）方面拥有专业知识。这两个团队计划合作，以分享他们的知识，并解决两个复杂和未解决的问题。

In the frame of a German-French collaboration, we plan to develop and investigate numerically a phase field model able to describe the discrete passage (in the limit of continuum approach) of the critical point - from monophasic supercritical state to two-phase subcritical state nearby the critical point - as well as the Faraday instability from the continuous immiscible to miscible states of binary fluids in both ground-based and microgravity environments. Both problems with large industrial applications cannot find a suitable theoretical description until now. We plan to use the phase-field approach in order to solve these two subjects. The German team has a great experience on the phase-field modelling (for over 10 years) of different cases like the contact-line problems from an initial thin film on an inclined solid surface (formation of liquid drops), the coalescence of drops or the occurrence of Marangoni flows. The French team has the expertise on the physics and the stability of the immiscible/miscible fluid system (for more than 10 years) and the physics of near-critical flows (for almost 20 years). The two teams are planning to collaborate in order to share their knowledge and solve two complex and unsolved problems.