Analytical solution of surface layer similarity equations

作者：Yang K^*; Tamai N; Koike T

来源：Journal of Applied Meteorology, 2001, 40(9): 1647-1653.

DOI：10.1175/1520-0450(2001)040<1647:ASOSLS>2.0.CO;2

Turbulent exchange between the surface and the atmosphere strongly depends on the stability of the surface layer. If surface radiometric temperature, rather than aerodynamic temperature, is used to parameterize the surface turbulent fluxes, the solution of the stability parameter is related to the thermal roughness length z(T), which is generally not identical to the aerodynamic roughness length z(o). This note derives the exact solution of the stability parameter equation for a stable surface layer and proposes an approximate analytical solution for an unstable surface layer. The solution can improve the computational efficiency of flux parameterization and is applicable in a wide range of z/z(o) (50-10(4)) and z(o)/z(T) (from less than 1 to greater than 10(4)).

• 出版日期2001