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Iterative solutions of the gradient wind equation

机译：梯度风方程的迭代解

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摘要

The gradient wind equation from meteorology plays a fundamental role in the understanding of atmospheric dynamics: it describes the circulation associated with high- and low-pressure systems as well as the flow of the jet stream. While it is easily solved analytically, iterative solutions of the gradient wind equation illustrate many of the characteristics of numerical solutions to the full dynamical equations, including convergence, dependence on initial conditions, and the impact of different solution approaches on the character of the solution. We explore these properties of the gradient wind equation, and in so doing rectify an error in the research literature. Our analysis should be of particular interest to teachers of computational methods in the geosciences as well as their students.
机译：气象学中的梯度风方程在理解大气动力学方面起着基本作用：它描述了与高压和低压系统相关的循环以及射流的流动。梯度风方程的迭代解虽然很容易解析，但它说明了完整动力学方程数值解的许多特征，包括收敛性，对初始条件的依赖性以及不同解法对解特征的影响。我们探索了梯度风方程的这些特性，从而纠正了研究文献中的错误。对于地球科学计算方法的老师及其学生，我们的分析应该特别感兴趣。

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