Modeling Mesoscale Convection by Coupled Nonlinear Systems

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，有时在性质上是混沌的。因此，数值系统（被称为低阶模型）在提供相对简单的数学解决方案的同时，仍然保持了大气流动的基本特征，这是理解潜在物理的有价值的研究工具。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Volterra陀螺仪的数学系统的形式呈现。在这个项目中，中尺度细胞对流的低阶模型将以耦合陀螺仪系统的形式发展。这将促进对这一复杂现象的理解，并证明耦合陀螺仪在地球物理流体动力学研究中可以发挥的基本作用。＊＊＊

9523572 Gluhovsky 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) 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. In this project, low order models for mesoscale cellular convection will be developed in the form of systems of coupled gyrostats. This will promote understanding of this complex phenomenon as well as the demonstrating the fundamental role that coupled gyrostats could play in the study of geophysical fluid dynamics. ***