B. Grisogono, WAVE DRAG EFFECTS IN A MESOSCALE MODEL WITH A HIGHER-ORDER CLOSURE TURBULENCE SCHEME, Journal of applied meteorology, 34(4), 1995, pp. 941-954
An incompressible, mesoscale model is used to estimate wave drag (WD)
profiles over inhomogeneous 2D terrain. The goal is twofold: to evalua
te the WD based on the model's fields and to analyze the atmospheric b
oundary layer(ABL) response to wave breaking. The model employs a simp
lified higher-order closure scheme for turbulent fluxes. A sponge laye
r mimics a radiative upper boundary condition (BC). Due to the no-slip
lower BC for dissipative flows, the Eliassen-Palm theorem is not fulf
illed and WD is generally not constant with height. Within the lower t
roposphere, the model's mean WD values compare to those from theory an
d other simulations. Above the ABL, where no physical processes dissip
ate waves, WD attenuates with height to roughly one-third of its theor
etical value. This is mainly due to numerical dissipation of the used
first-order advection scheme. However, the acceleration identified wit
h the wave pattern reduction is small compared to governing accelerati
ons. Two simulation sets are presented: one is a linear and another is
a nonlinear airflow. The latter exhibits wave overturning and alters
the ABL from above. The ABL becomes horizontally inhomogeneous over a
distance equal to several times the characteristic width of the ridge.