Computational mathematics of Arctic processes

北极过程的计算数学

• 批准号: 2309682
• 负责人: Malgorzata Peszynska
• 金额: $ 38.87万
• 依托单位: Oregon State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-07-15 至 2026-06-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2309682&HistoricalAwards=false
• 关键词: Computational; mathematics; Arctic; processes

The Arctic is a vast and complex environment which influences planet-scale budgets of water and energy fluxes. The project will develop robust computational models and their mathematical analyses for coupled phenomena in the Arctic including thermal, hydrological, and mechanical processes in permafrost soils as well as selected biosphere processes. Beside their connections to large scale climate, these processes have significant local impact on humans and infrastructure. The models developed in this project and their use for predictive simulations of realistic scenarios will contribute to the knowledge supporting the plans to mitigate the effects, e.g., of permafrost thaw. Graduate and undergraduate students will be involved and trained in computational mathematics as well as in an ability to contribute meaningfully and critically to the interdisciplinary efforts within and outside the project, with efforts towards an effective mentoring support structure for underrepresented groups. Training both undergraduate and graduate students on the topics of the project is expected.The project will develop algorithms for approximations of solutions to the models of coupled processes in the Arctic including the thermal, hydrological, mechanical, and biosphere processes. The main challenges are the nonlinearity and complexity of the underlying partial differential equations and the sparsity of data which is not easy to collect in the vast Arctic environment. These challenges are exacerbated for coupled systems across the many relevant temporal and spatial scales. The investigators will focus on the cross-cutting theme of multiple scales connecting the microscopic Pore scale of x-ray images of permafrost soil to the Darcy scale of experiments to the Landscape scale of kilometers common in observations. These efforts will support the development of efficient prototype and surrogate models along with new metrics for the quality of the approximations, and these tools can be used for simulations of realistic scenarios of climate events associated with Arctic permafrost.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.

北极是一个巨大而复杂的环境，影响着地球尺度的水和能量通量的收支。该项目将为北极地区的耦合现象开发强大的计算模型及其数学分析，包括永久冻土中的热、水文和机械过程以及选定的生物圈过程。除了与大规模气候的联系外，这些过程对人类和基础设施也有重大的局部影响。本项目中开发的模型及其用于现实情景的预测模拟将有助于支持减轻影响计划的知识，例如，永冻层融化研究生和本科生将参与并接受计算数学培训，以及为项目内外的跨学科努力做出有意义和批判性贡献的能力，努力为代表性不足的群体提供有效的指导支持结构。预计将对本科生和研究生进行有关该项目主题的培训。该项目将开发北极耦合过程（包括热、水文、机械和生物圈过程）模型解的近似算法。主要的挑战是基本偏微分方程的非线性和复杂性以及在广阔的北极环境中不易收集的数据的稀疏性。对于跨越许多相关时间和空间尺度的耦合系统，这些挑战更加严峻。研究人员将专注于多个尺度的交叉主题，将永久冻土X射线图像的微观孔隙尺度连接到实验的达西尺度，再到观测中常见的千米景观尺度。这些努力将支持开发有效的原型和替代模型沿着的质量近似的新指标，这些工具可以用于模拟与北极永久冻土相关的气候事件的现实情景。该奖项反映了NSF的法定使命，并已被认为是值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估的支持。