Search NASA⌕ Search

Engineering topics

Chen, Ping

Publications and source records attributed to Chen, Ping.

24 records · Page 2
All sourcesNASA NTRSDOE OSTI
NASA NTRS1993

The barotropic normal modes in certain shear flows and the traveling waves in the atmosphere

It is shown analytically and numerically that in certain shear flows the linearized nondivergent barotropic vorticity equation has a limited number of neutral normal modes. The latitudinal structures of these shear flows can be expressed as polynomials of the sine of latitude. The first few such shear flows resemble the gross features of the zonal winds in the atmosphere of the earth at different times and altitudes. The spatial structures of the neutral normal modes in these shear flows are spherical harmonics, and, as a consequence, these modes are also the exact solutions of the fully nonlinear equation because the nonlinear interaction term vanishes identically. The spatial structures of the observed 5-, 4-, 2-, and 16-day free traveling waves in the atmosphere are often identified with the spherical harmonics with indices of (m, n) = ( 1, 2), (2, 3), (3, 3), and ( 1, 4), which are known previously as the neutral normal modes of the nondivergent barotropic vorticity equation in a motionless background state. Our results could explain why these free traveling waves can survive the shearing effects of zonal flows that are far different from rest because these spherical harmonics are also normal modes in certain shear flows that resemble the observations of the atmosphere.

Chen, Ping↗
NASA NTRS1992

Propagation of planetary waves between the troposphere and stratosphere

The propagation of planetary waves between the troposphere and stratosphere is investigated using a linear, time-dependent, primitive equation model. It is found that the tropopause acts like a valve for the propagation of planetary waves. The key parameters controlling the valve are the vertical gradient of buoyancy frequency and the vertical shear of the zonal winds at the tropopause. For a given wind profile smaller gradient of buoyancy frequency enhances the propagation of planetary waves. For a given profile of buoyancy frequency the larger the shear, the more the wave activity is trapped in the troposphere, and therefore, there is less left to propagate into the stratosphere. The transmission across the tropopause is, however, not sensitive to zonal winds in the upper stratosphere. The propagation of planetary waves is very sensitive to transience. More transient waves propagate more vertically within the troposphere, and for more transient waves, more wave activity is transferred into the stratosphere from the troposphere.

Chen, Ping↗
NASA NTRS1992

The coupling of the troposphere and stratosphere

A linear, time-dependent, primitive-equation, 3D numerical model is used to investigate the dynamical coupling between the troposphere and stratosphere through the vertical propagation of planetry waves. Attention is given to the roles of the tropopause in affecting the propagation of planetary waves and to the extent to which the stratosphere can determine its own wave driving, i.e., the sensitivity of the generation of the wave activity in the troposphere to the change of zonal wind in the stratosphere. Two maxima in Eliassen-Palm (EP) flux convergence are found for wave 1 in high latitudes, one in the upper stratosphere and the other in the upper troposphere. For wave 2 there is a third maximum north of the zero wind line in the tropical stratosphere. The formation of the maximum in EP-flux convergence in the upper troposphere is related to the dissipation of non-WKBJ waves near a local maximum of the refractive index. The existence of the local maximum in refractive index at the tropopause is a result of the great gradient of the buoyancy frequency as well as the vertical shear of the zonal flow there.

Chen, Ping↗
NASA NTRS1991

The effects of transience on the propagation of stratospheric planetary waves

The propagation of planetary-scale Rossby waves in the stratosphere is investigated in a linear, time-dependent, primitive equation model. Two distinct maxima in the convergence of the Eliassen-Palm flux (EP flux) are found for steady and for transient waves in a variety of realistic northern hemisphere, winter season, zonal flows; one below the stratospheric polar jet and the other north of the zero wind line. These maxima appear at higher altitudes for wave 1 than for wave 2, especially in low latitudes. Different mechanisms cause the formation of these two maxima. The confinement of wave activity in high latitudes is mainly due to the dissipation of waves in that region under non-WKBJ conditions. The maximum in lower latitudes is related to the absorption of Rossby waves near their critical lines. For wave 2, the intensity of the high latitude maximum is sensitive to the transience of the wave forcing at the tropopause, while for wave 1 this sensitivity is reduced. For both waves the low latitude maximum shifts northward with increasing transience.

Chen, Ping↗
NASA NTRS1991

Relationship between the instability waves and noise of high-speed jets

The relationship between the instability waves and noise of hot jets at moderate supersonic Mach number is investigated. The relative importance of the Kelvin-Helmholtz instability waves and the supersonic instability waves as sources of noise is considered. The results show that, for the range of Mach number and jet-to-ambient temperature ratio considered, the Kelvin-Helmholtz instability waves have much higher total amplification and higher phase speed.

Tam, Christopher K. W.↗