CMG: Mathematical Methods for Ocean Circulation Theory

CMG：海洋环流理论的数学方法

• 批准号: 0621134
• 负责人: Roger Samelson
• 金额: $ 18.31万
• 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: 2006
• 资助国家: 美国
• 起止时间: 2006-09-01 至 2009-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0621134&HistoricalAwards=false
• 关键词: CMG; Mathematical; Methods; Ocean; Circulation

ABSTRACTOCE-0621134Understanding the circulation of the Earth's ocean is a central problem of oceanography. In addition to its intrinsic scientific interest, the ocean circulation is a critical element of the physical environment that supports life on Earth, and plays a key role in the climate system. However, understanding the ocean's circulation is difficult because the ocean is a fluid that varies on spatial scales from more than 10,000 km to less than 1 mm. This range of 10 orders of magnitude in spatial scale is comparable to the ratio of the height of a human being to atomic or molecular dimensions. Thus, the mathematics that describes this complex, turbulent fluid is a set of nonlinear differential partial equations which are difficult to analyze because of the combination of nonlinearity and the many interacting scales of motion. In this study, scientists from Oregon State University will collaborate to exploit recent developments in mathematics to find new solutions to equations that describe the large-scale ocean circulation. These solutions will contribute fundamental information on the dynamics of the ocean and will stimulate other studies on the mathematics of turbulent fluids. A graduate student will be working on this problem at the intersection of mathematics and geoscience.

了解地球海洋的环流是海洋学的一个中心问题。除了其固有的科学意义外，海洋环流是支持地球上生命的物理环境的一个关键要素，并在气候系统中发挥关键作用。然而，了解海洋的环流是困难的，因为海洋是一种流体，在空间尺度上从10 000多公里到不到1毫米不等，这10个数量级的空间尺度范围相当于人的身高与原子或分子尺寸的比率。因此，描述这种复杂的湍流流体的数学是一组非线性微分偏方程，由于非线性和许多相互作用的运动尺度的组合，这些方程很难分析。在这项研究中，来自俄勒冈州州立大学的科学家将合作利用数学的最新发展，为描述大规模海洋环流的方程找到新的解决方案。这些解决方案将有助于海洋动力学的基本信息，并将刺激湍流流体数学的其他研究。一名研究生将在数学和地球科学的交叉点上研究这个问题。