Tropical Tropospheric Dynamics

热带对流层动力学

• 批准号: 9729970
• 负责人: Wayne Schubert
• 金额: $ 38.36万
• 依托单位: Colorado State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-03-15 至 2001-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9729970&HistoricalAwards=false
• 关键词: Tropical; Tropospheric; Dynamics

This award provides support for a systematic study of the minimum enstrophy principle and maximum entropy principle as they apply to problems of potential vorticity mixing in hurricanes and larger-scale tropical circulations. Within the context of a barotropic, nondivergent model, theoretical predictions will be extended from the symmetric to the asymmetric case. Of particular interest will be the determination of the bifurcations between the symmetric and asymmetric structures predicted by the maximum entropy vortex arguments. The results of such an asymmetric theory should reveal what kind of steady state asymmetric features are possible in hurricanes. Outside the context of the non-divergent model, both direct numerical integrations and theoretical predictions will be generalized to the shallow water equations (on the plane and on the sphere). This generalization will allow a distinction between vorticity and potential vorticity and a distinction between enstrophy and potential enstrophy, and will allow the energy constraint to include both kinetic and potential energy. The generalization to the quasi-static primitive equations in isentropic coordinates should then follow from the shallow water case. Each step in this investigation will help to improve understanding (and, ultimately, prediction) of the nonlinear evolution of large-scale atmospheric flows.

该奖项为对最小肠道原理和最大熵原理的系统研究提供了支持，因为它们适用于飓风中潜在的涡度混合问题和大规模的热带循环。在正压，非散发模型的背景下，理论预测将从对称情况扩展到非对称情况。特别感兴趣的是确定由最大熵涡流参数预测的对称结构和不对称结构之间的分叉。这种不对称理论的结果应揭示飓风中可能的稳态不对称特征。在非散发模型的背景之外，直接数值整合和理论预测都将推广到浅水方程（在平面和球体上）。这种概括将允许涡度和潜在涡度与腹膜植物和潜在腹部之间的区别之间的区别，并允许能量约束包括动力学和势能。然后，应从浅水箱中遵循对等质坐标中准静态原始方程的概括。这项调查的每个步骤都将有助于提高对大气流的非线性进化的理解（并最终预测）。