Collaborative Research: Models, Algorithms, Simulations, and Applications for Three-Phase Systems with Solidification and Moving Contact Lines

协作研究：具有凝固和移动接触线的三相系统的模型、算法、仿真和应用

• 批准号: 2012480
• 负责人: Pengtao Yue
• 金额: $ 16.5万
• 依托单位: Virginia Polytechnic Institute and State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2020
• 资助国家: 美国
• 起止时间: 2020-09-01 至 2024-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2012480&HistoricalAwards=false
• 关键词: Collaborative; Research; Models; Algorithms; Simulations

This project will develop mathematical models and numerical algorithms to address challenges in modeling fluids with multiple phases such as liquid, solid and ice. Phenomena with multiple fluid phases play an important role in many natural phenomena and industrial applications, such as atmospheric icing, additive manufacturing, and thermal spraying. For example, when a rain drop impacts onto a cold solid surface, it spreads on the solid and at the same time freezes due to the low temperature. The physical problem involves three phases (liquid, solid of the same material, and air) and the interfaces are governed by different physics. The numerical models to be developed will advance the understanding of the underlying physics and provide guidance to the design of icephobic surfaces for aircrafts, 3D printers, and thermal spraying devices. Students will be involved and trained in the computational mathematics and interdisciplinary aspects of this project.This project has the following goals: (i) to derive a variational phase-field model to describe the evolution of the solidification front as well as the liquid-air interface, with the consideration of contact line dynamics, non-equilibrium solidification, and variable density/viscosity; (ii) to develop efficient, easy-to-implement, and energy-stable numerical schemes with discrete energy laws for the proposed models; and (iii) to perform numerical simulations to validate the models and numerical schemes, and further study physically motivated problems. The model satisfies a physically consistent energy law, which is a necessary condition for a faithful description of real physics. The developed numerical schemes are energy-stable with the advantage of allowing large time steps, which is particularly important to this multi-physics problem with disparate time scales. The developed codes will allow us to simulate the solidification of flowing drops made of different materials in a wide variety of applications.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该项目将开发数学模型和数值算法，以解决多相流体（如液体、固体和冰）建模的挑战。多流体相现象在许多自然现象和工业应用中发挥着重要作用，如大气结冰、增材制造和热喷涂。例如，当雨滴落在冰冷的固体表面时，它会在固体上扩散，同时由于低温而冻结。物理问题涉及三个阶段（液体，相同材料的固体和空气），界面由不同的物理控制。待开发的数值模型将促进对潜在物理的理解，并为飞机、3D打印机和热喷涂设备的疏冰表面设计提供指导。学生将参与和训练计算数学和跨学科方面的这个项目。本项目有以下目标：(i)在考虑接触线动力学、非平衡凝固和变密度/粘度的情况下，推导一个变分相场模型来描述凝固锋和液气界面的演变；（ii）为所提出的模型开发具有离散能量定律的高效、易于实施和能量稳定的数值方案；（iii）进行数值模拟以验证模型和数值方案，并进一步研究物理动机问题。该模型满足物理上一致的能量定律，这是忠实描述真实物理的必要条件。所开发的数值格式具有能量稳定的优点，允许大的时间步长，这对于具有不同时间尺度的多物理场问题尤为重要。开发的代码将使我们能够在各种应用中模拟由不同材料制成的流动液滴的凝固。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

项目成果

Poroelastic modelling reveals the cooperation between two mechanisms for albuminuria

• DOI: 10.1098/rsif.2022.0634
• 发表时间: 2023-01
• 期刊: Journal of the Royal Society Interface
• 影响因子: 3.9
• 作者: Zelai Xu;P. Yue;James J. Feng

Comparison of four boundary conditions for the fluid-hydrogel interface

流体-水凝胶界面的四种边界条件的比较

• DOI: 10.1103/physrevfluids.7.093301
• 发表时间: 2022
• 期刊: Physical Review Fluids
• 影响因子: 2.7
• 作者: Xu, Zelai;Zhang, Jiaqi;Young, Yuan-Nan;Yue, Pengtao;Feng, James J.
• 通讯作者: Feng, James J.

An arbitrary Lagrangian-Eulerian method for simulating interfacial dynamics between a hydrogel and a fluid

• DOI: 10.1016/j.jcp.2021.110851
• 发表时间: 2021-11
• 期刊: J. Comput. Phys.
• 作者: Lei Li;Jiaqi Zhang;Zelai Xu;Y. Young;James J. Feng;P. Yue