CHARACTERISTIC PARAMETERS AND DYNAMICAL EQUATIONS OF ATMOSPHERIC MOTIONS,
Abstract
Dynamical equations of atmospheric motions are studied by similarity principle and dimensional analysis. The relationships between the various models of the atmosphere and the limits of their applicability are shown. By analyzing the adiabatic motion of the inviscid flow assuming quasi-static equilibrium and the pressure gradient force and the coriolis force to have the same order of magnitude, three characteristic scales defined by external factors can be determined: the characteristic time scale dependent on the coriolis parameter, the characteristic velocity scale dependent on the stratification and the average temperature of the atmosphere and the characteristic scale of horizontal distance. A generalized system of finite-difference equations suitable for analysis and comparison is presented. The various models correspond to the different values of the coefficients in the equations. The asymptotic nature of the convergence in the method of expansion of small parameters is discussed. Equations for mesoscale systems (L<L0) are especially studied. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1968
- Accession Number
- AD0686184
Entities
People
- Zeng Qing-zun
Organizations
- Emmanuel College