Numerical Equilibrium Solutions of the Quasi-Geostrophic Vorticity Equation

准地转涡度方程的数值平衡解

• 批准号: 9011413
• 负责人: Sue Ellen Haupt
• 金额: $ 12.16万
• 依托单位: University of Colorado at Boulder
• 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: 1990-09-01 至 1993-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9011413&HistoricalAwards=false
• 关键词: Numerical; Equilibrium; Solutions; Quasi; Geostrophic

The goal of this research is to study coherent structures in geophysical flow by determining equilibrium solutions of the quasigeostrophic vorticity equation. The system of equations is solved numerically using the Newton-Kantorovich algorithm and the stability properties of the solutions analyzed using both time integration studies and a dynamical systems approach. The results of this work will be applied to the phenomenon of atmospheric blocking, that is, the situation in which the planetary scale waves of the atmosphere maintain a stable configuration which causes weather patterns to persist for weeks at a time. Modeling of the blocking process will examine the generation, maintenance, and decay of the blocks. This research has obvious implications for improving medium range weather forecasting. The PI is well qualified for this project. She is an applied mathematician with background in fluid mechanics and atmospheric and oceanographic sciences. This award is being made as a Research Initiation Award and is jointly funded by the Large-scale Dynamic Meteorology and Applied Mathematics Programs.

本研究的目的是研究相干结构 在地球物理流动中， 准地转涡度方程 方程组 使用牛顿-康托洛维奇算法数值求解 和稳定性的解决方案分析，使用 时间积分研究和动力系统方法。 这项工作的结果将应用于现象 也就是说，在这种情况下， 行星尺度的大气波动保持稳定 导致天气模式持续 几周一次 阻塞过程的建模将检查 块的生成、维护和衰变。 这 研究对改善中程导弹具有明显的意义， 天气预报 PI完全胜任该项目。 她是一 具有流体力学背景的应用数学家， 大气和海洋科学。 这个奖项是由 作为一个研究启动奖，并共同资助， 大尺度动力气象学与应用数学 程序.