Shape dynamics of melting ice: Experiments, simulations, modeling and analysis

融化冰的形状动力学：实验、模拟、建模和分析

• 批准号: 2206573
• 负责人: Leif Ristroph
• 金额: $ 63.18万
• 依托单位: New York University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-07-15 至 2025-06-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2206573&HistoricalAwards=false
• 关键词: Shape; dynamics; melting; ice; Experiments

The Earth's ice reserves are melting with increasing rate. Interpreting what these changes mean for the health of our planet requires models that account for complex processes that act interdependently over immense ranges of length and time scales. The accuracy of global-scale climate models depends on the physics at the most fundamental scales, such as how the melting of ice depends on the shape of its interface with liquid water and the local temperature, salinity, and flow conditions. Applied and computational mathematics and mathematical modeling provide many methods that are well suited to addressing these problems. Applying such techniques and developing new ones specifically for ice melting can provide critical information needed to improve climate models. Better understanding the underlying physics and mathematics can also help to explain the diverse shapes and patterning of natural ice, which could allow local environmental conditions to be inferred from observations of ice. Investigating these important issues also provides opportunities to educate students and train researchers, thereby contributing to a workforce that is well prepared to tackle these and related problems.These projects investigate the melting dynamics of ice through laboratory experiments, numerical simulations, mathematical modeling, and analysis. The general progression of the research program is from idealized settings such as melting of fixed bodies with simple initial forms in fresh water at fixed far-field temperature to increasingly elaborate situations involving changes in geometry, temperature, and salinity. Further extensions address additional couplings such as melting-induced motions of free ice. Experiments will focus on accurate measurement of ice-water interface forms and motions in laboratory settings where the initial geometry, far-field temperature, and salinity profiles can be controlled and systematically varied. Direct numerical computations will employ phase-field methods to simulate the evolution of the temperature, flow, and salt concentration fields that give rise to the interfacial dynamics. Modeling will invoke idealizations based, for example, on boundary layer theory to derive moving-boundary descriptions and stability analyses that relate to pattern formation. All methods will be combined interactively towards targeting significant gaps in the current understanding of how the evolving shape of ice feeds back on the melting process and how the morphology of ice can be used to infer ambient conditions.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.

地球的冰储量随着速度的增加而融化。解释这些变化对我们星球的健康意味着什么，需要模型来解释复杂的过程，这些过程在长度和时间尺度的巨大范围内相互依存。全球气候模型的准确性取决于最基本尺度下的物理，例如冰的融化如何取决于其与液体水以及局部温度，盐度和流量条件的界面形状。应用和计算数学和数学建模提供了许多适合解决这些问题的方法。应用此类技术并专门用于冰熔化的技术可以提供改善气候模型所需的关键信息。更好地了解潜在的物理学和数学也可以帮助解释自然冰的各种形状和模式，从而可以从冰的观察中推断出局部环境条件。调查这些重要问题还为教育学生和培训研究人员提供了机会，从而为解决这些问题做好充分解决的劳动力做出了贡献。这些项目通过实验室实验，数值模拟，数学建模和分析来研究ICE的融化动态。研究计划的一般进展来自理想化的设置，例如在固定远场温度下以简单的初始形式熔化的固定物体，以越来越详细的情况，涉及几何形状，温度和盐度的变化。进一步的扩展解决了其他耦合，例如熔化引起的自由冰运动。实验将集中于在实验室环境中准确测量冰水界面形式和动作，在实验室环境中，可以控制初始几何，远场温度和盐度轮廓并系统地改变。直接数值计算将采用相位场方法来模拟导致界面动力学的温度，流量和盐浓度场的演变。建模将基于边界层理论的理想化调用，以得出与模式形成相关的运动边界描述和稳定性分析。在当前对冰上不断发展的冰的形状如何回馈融化过程以及如何使用冰的形态来推断环境条件时，所有方法都将与靶向显着差距进行交互结合。该奖项反映了NSF的法定任务，并通过使用该基金会的智力功能和广泛的影响来评估NSF的法定任务，并被视为值得通过评估的支持。

项目成果

Anomalous Convective Flows Carve Pinnacles and Scallops in Melting Ice

异常对流在融化的冰中雕刻出尖峰和扇贝

• DOI: 10.1103/physrevlett.128.044502
• 发表时间: 2022
• 期刊: Physical Review Letters
• 影响因子: 8.6
• 作者: Weady, Scott;Tong, Joshua;Zidovska, Alexandra;Ristroph, Leif
• 通讯作者: Ristroph, Leif