For a family of relatively common problems in micrometeorology, whose forms previously required iterative or indirect treatment, analytical solution is possible via the Lambert- W function. Use of this function reduces computational time and the need for approximations, while offering a clearer view of the character and solution of such problems. This note provides a generalized form for such problems, and demonstrates its use for three applications: internal boundary-layer growth due to a change in surface roughness; flow displacement over a canopy; and determination of friction velocity and roughness length over the sea.

中文翻译：

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通过 Lambert-W 函数直接解决各种微气象问题

对于微气象学中一系列相对常见的问题，其形式以前需要迭代或间接处理，可以通过 Lambert-W 函数进行解析解。使用此函数可减少计算时间和近似值的需要，同时更清晰地了解此类问题的特征和解决方案。本笔记提供了此类问题的一般形式，并演示了其在三种应用中的用途：由于表面粗糙度变化导致的内部边界层生长；冠层上的流动位移；海上摩擦速度和粗糙度长度的确定。