Numerical Algorithms and Simulations for Multiphase Flows of Multiple Immiscible Incompressible Fluids

该研究项目旨在开发数学和计算工具，方法和算法，用于模拟和理解一类具有实际工程意义和基本物理重要性的多相多组分流动问题。该项目中研究的系统与环境、能源和材料科学有关。例如，这样的多相系统出现在石油泄漏补救的建模中。另一个例子是在过去十年中发现的称为液体注入表面的新型功能表面，其表现出各种有吸引力的特性，例如自清洁，防结冰和防污。这些多相多组分问题是众多技术进步的基础，从印刷电子电路和传感器，到光流体显微镜和波导，到防水织物，到石油回收和碳封存。该项目旨在开发改进的高效和有效的计算方法，以应对此类系统模拟中的挑战。该项目为研究生和本科生提供研究培训机会。该研究旨在设计高效和有效的方法来模拟和理解具有不同物理特性（如密度，粘度和成对表面张力）的三种或更多种不可混溶不可压缩流体系统的动力学。这些系统对数值模拟提出了巨大的计算和算法挑战，因为涉及大量的流体界面、三相线、接触线和接触角。该项目建立在近年来发展的简化一致和简化一致公式的基础上，将提供计算预测能力和有效的技术，用于阐明和理解多种流体组分，多种类型的流体界面，该奖项反映了NSF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。

This research project aims to develop mathematical and computational tools, methods, and algorithms for simulating and understanding a class of multiphase multicomponent flow problems that are of practical engineering significance and fundamental physical importance. The systems under study in this project have relevance to the environment, energy, and materials science. For example, such multiphase systems occur in modeling for remediation of oil spills. Another example is the novel class of functional surfaces called liquid infused surfaces discovered in the past decade, which exhibit a variety of attractive properties such as self-cleaning, anti-icing and anti-fouling. These multiphase multicomponent problems underlie numerous technological advances, from printed electronic circuits and sensors, to opto-fluidic microscopes and waveguides, to water-resistant fabrics, to oil recovery and carbon sequestration. The project aims to develop improved efficient and effective computational methods to tackle the challenges in simulations for such systems. This project provides research training opportunities for graduate and undergraduate students. The research aims at devising efficient and effective methods for simulating and understanding the dynamics of a system of three or more immiscible incompressible fluids with different physical properties such as densities, viscosities, and pairwise surface tensions. These systems pose enormous computational and algorithmic challenges to numerical simulations, because of the multitude of fluid interfaces, three-phase lines, and contact lines and contact angles involved. The project builds upon the reduction-consistent and thermodynamically-consistent formulations developed in recent years and will provide computational prediction capability and effective techniques for illuminating and understanding the interactions among multiple fluid components, multiple types of fluid interfaces, and multiple types of contact lines.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.