A new nonlinear analytical model for canopy flow over a forested hill

摘要: A new nonlinear analytical model for canopy flow over gentle hills is presented. This established based on the assumption that three major forces (pressure gradient, Reynolds stress and drag) within are in balance under neutral conditions. The momentum governing equation closed by velocity-squared law. has many advantages developed Finnigan Belcher (Quart J Roy Meteorol Soc 130: 1–29 2004, hereafter referred to as FB04) predicting wind velocity profiles forested that: (1) predictions from more realistic because surface drag effects can be taken into account boundary conditions, while cannot accounted algebraic used lower layer FB04 model; (2) mixing length theory not necessarily it leads a theoretical inconsistency constant nonconstant prediction (3) of height-dependent leaf area density (a(z)) coefficient (Cd) predicted, both a(z) Cd must treated constants model. transfer part height independent, actually serving bottom condition linear differential upper layer. ability largely restricted using height-independent study demonstrated success law closure scheme comparison with thus enhancing flows, keeping consistent simple, shining light land-surface parameterization schemes numerical weather climate models.