Inertial and gravity wave transmissions near radiative-convective boundaries. (arXiv:2008.00205v2 [physics.flu-dyn] UPDATED)
<a href="http://arxiv.org/find/physics/1/au:+Cai_T/0/1/0/all/0/1">Tao Cai</a>, <a href="http://arxiv.org/find/physics/1/au:+Yu_C/0/1/0/all/0/1">Cong Yu</a>, <a href="http://arxiv.org/find/physics/1/au:+Wei_X/0/1/0/all/0/1">Xing Wei</a>
In this paper, we study the inertial and gravity wave transmissions near the
radiative-convective boundaries in the {it f}-plane. Two configurations have
been considered: waves propagate from the convective layer to the radiative
stratified stable layer, or In this paper, we study inertial and gravity wave
transmissions near radiative-convective boundaries on the {it f}-plane. Two
configurations have been considered: waves propagate from the convective layer
to the radiative stratified stable layer, or the other way around. It has been
found that waves prefer to survive at low latitudes when the stable layer is
strongly stratified ($N^2/(2Omega)^2>1$). When the stable layer is weakly
stratified ($N^2/(2Omega)^2<1$), however, waves can survive at any latitude if
the meridional wavenumber is large. Then we have discussed transmission ratios
for two buoyancy frequency structures: the uniform stratification, and the
continuously varying stratification. For the uniform stratification, we have
found that the transmission is efficient when the rotation is rapid, or when
the wave is near the critical colatitude. For the continuously varying
stratification, we have discussed the transmission ratio when the square of
buoyancy frequency is an algebraic function $N^2propto z^{nu} (nu >0)$. We
have found that the transmission can be efficient when the rotation is rapid,
or when the wave is near the critical colatitude, or when the thickness of the
stratification layer is far greater than the horizontal wave length. The
transmission ratio does not depend on the configurations (radiative layer sits
above convective layer, or vice versa; wave propagates outward or inward), but
only on characteristics of the wave (frequency and wavenumber) and the fluid
(degree of stratification).
In this paper, we study the inertial and gravity wave transmissions near the
radiative-convective boundaries in the {it f}-plane. Two configurations have
been considered: waves propagate from the convective layer to the radiative
stratified stable layer, or In this paper, we study inertial and gravity wave
transmissions near radiative-convective boundaries on the {it f}-plane. Two
configurations have been considered: waves propagate from the convective layer
to the radiative stratified stable layer, or the other way around. It has been
found that waves prefer to survive at low latitudes when the stable layer is
strongly stratified ($N^2/(2Omega)^2>1$). When the stable layer is weakly
stratified ($N^2/(2Omega)^2<1$), however, waves can survive at any latitude if
the meridional wavenumber is large. Then we have discussed transmission ratios
for two buoyancy frequency structures: the uniform stratification, and the
continuously varying stratification. For the uniform stratification, we have
found that the transmission is efficient when the rotation is rapid, or when
the wave is near the critical colatitude. For the continuously varying
stratification, we have discussed the transmission ratio when the square of
buoyancy frequency is an algebraic function $N^2propto z^{nu} (nu >0)$. We
have found that the transmission can be efficient when the rotation is rapid,
or when the wave is near the critical colatitude, or when the thickness of the
stratification layer is far greater than the horizontal wave length. The
transmission ratio does not depend on the configurations (radiative layer sits
above convective layer, or vice versa; wave propagates outward or inward), but
only on characteristics of the wave (frequency and wavenumber) and the fluid
(degree of stratification).
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