Mathematical Sciences: Geophysical Fluid Dynamics

数学科学：地球物理流体动力学

• 批准号: 8908297
• 负责人: John Miles
• 金额: $ 14.12万
• 依托单位: University of California-San Diego Scripps Inst of Oceanography
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-04-01 至 1992-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8908297&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Geophysical; Fluid; Dynamics

This proposal concerns a number of important topics in the fluid dynamics of ocean waves revolving around the central concept of wave-wave and wave-solid interactions. Specifically the proposer will study wave reflection on a sloping beach, parametrically excited edge waves, axisymmetric cross-waves, resonant interactions and Wilton's ripples, and the tidal equations of Laplace with regard to the coupling between surface and internal tides. The study of ocean waves has a long and venerable history, and it remains today a vitally important area of research that includes the motion of ships through water, the diurnal tidal motions, and structures. This proposal will involve looking into the underlying mathematics and physics of these phenomena; the understanding gained from this research will have genuine technological significance.

这一建议涉及围绕波-波和波-固相互作用的中心概念的海浪流体动力学中的一些重要主题。具体而言，提议者将研究波浪在倾斜海滩上的反射，参数激发边缘波，轴对称交叉波，共振相互作用和威尔顿波纹，以及关于表面和内部潮汐之间耦合的拉普拉斯潮汐方程。对海浪的研究有着悠久而可敬的历史，今天它仍然是一个至关重要的研究领域，包括船舶在水中的运动、日潮汐运动和结构。这一建议将涉及研究这些现象的基础数学和物理；从这项研究中获得的理解将具有真正的技术意义。