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

基本信息

批准号：
2012490
负责人：
XIAOFENG YANG
金额：
$ 13.5万
依托单位：
University of South Carolina at Columbia
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=2012490&HistoricalAwards=false
关键词：
Collaborative Research Models Algorithms Simulations

项目摘要

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，以解决用液体，固体和冰等多个阶段建模流体的挑战。具有多个流体相的现象在许多自然现象和工业应用中起着重要作用，例如大气结冰，添加剂制造和热喷涂。例如，当降雨掉落到冷固体表面上时，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），并且界面受不同的物理学控制。要开发的数值模型将提高对基础物理的理解，并为飞机，3D打印机和热喷涂设备设计冰球表面的设计提供指导。学生将参与和培训该项目的计算数学和跨学科方面。本项目具有以下目标：（i）得出一个变异相位模型，以描述固体界面以及液体空气界面的演变，并考虑到接触线动力学，非平衡固体固体化和可变密度/VIDCS＆VILAIBLE LICES/VIDCSSICATION；（ii）开发有效，易于实施且能量稳定的数值方案，并为拟议模型提供离散的能量定律；（iii）执行数值模拟以验证模型和数值方案，并进一步研究以身体动机的问题。该模型满足了身体一致的能量法，这是对真实物理学的忠实描述的必要条件。开发的数值方案具有能量稳定，具有允许大量时间步骤的优势，这对于具有不同时间尺度的多物理问题尤其重要。开发的法规将使我们能够模拟各种应用中由不同材料制成的流量液滴的凝固。该奖项反映了NSF的法定任务，并使用基金会的知识分子优点和更广泛的影响评估标准，被认为值得通过评估来提供支持。