Modeling Mesoscale Convection by Coupled Nonlinear Systems

通过耦合非线性系统模拟中尺度对流

• 批准号: 9909009
• 负责人: Alexander Gluhovsky
• 金额: $ 25.51万
• 依托单位: Purdue Research Foundation
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-02-15 至 2004-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9909009&HistoricalAwards=false
• 关键词: Modeling; Mesoscale; Convection; Coupled; Nonlinear

The study of fundamental aspects of atmospheric systems is made difficult by the fact that these systems are nonlinear and sometimes chaotic in nature. Accordingly, numerical systems (known as low order models; LOMs) that lend themselves to relatively simple mathematical solutions while still maintaining the fundamental characteristics of the atmospheric flows are valuable research tools for understanding the underlying physics. Preliminary studies by the Principal Investigators indicate that low order models of atmospheric phenomena may be presented in the form of mathematical systems known in classical mechanics as Volterra gyrostats. A building block approach for the construction of LOMs of atmospheric circulations is proposed, whereby simple well-understood components are used to construct models of complex phenomena. These possess fundamental conservation properties of fluid dynamic equations and have various fluid dynamic interpretations, the celebrated Lorenz model among them. The proposed research will address the problem of developing physically sound low-order models of atmospheric circulations with particular attention to modeling mesoscale shallow convection (MSC). MSC results from a complex mix of various processes whose roles in the evolution of MSC remain unclear. The goal is to eventually assemble a model of MSC from gyrostats, or blocks of gyrostats, responsible for particular processes.

大气系统的基本方面的研究是困难的，因为这些系统是非线性的，有时在性质上是混乱的。 因此，数值系统（称为低阶模型; LOM），使自己相对简单的数学解决方案，同时仍然保持大气流动的基本特征是有价值的研究工具，了解底层的物理。主要研究人员的初步研究表明，大气现象的低阶模型可以以经典力学中称为沃尔泰拉陀螺仪的数学系统的形式呈现。 提出了一种构建大气环流LOMs的积木式方法，即使用简单且易于理解的组件来构建复杂现象的模型。 这些方程具有流体动力学方程的基本守恒性质，并有各种流体动力学解释，其中著名的洛伦兹模型。 拟议的研究将解决的问题，发展物理健全的低阶模式的大气环流，特别注意模拟中尺度浅层对流（MSC）。 MSC是由各种过程的复杂组合产生的，这些过程在MSC进化中的作用尚不清楚。 我们的目标是最终组装一个模型的MSC从陀螺仪，或块的陀螺仪，负责特定的过程。