Book contents
- Frontmatter
- Contents
- Preface
- 1 Overview
- 2 Governing equations for mesoscale motions
- 3 Basic wave dynamics
- 4 Mesoscale wave generation and maintenance
- 5 Orographically forced flows
- 6 Thermally forced flows
- 7 Mesoscale instabilities
- 8 Isolated convective storms
- 9 Mesoscale convective systems
- 10 Dynamics of fronts and jet streaks
- 11 Dynamics of orographic precipitation
- 12 Basic numerical methods
- 13 Numerical modeling of geophysical fluid systems
- 14 Parameterizations of physical processes
- Appendices
- Index
- References
3 - Basic wave dynamics
Published online by Cambridge University Press: 15 December 2009
Book contents
- Frontmatter
- Contents
- Preface
- 1 Overview
- 2 Governing equations for mesoscale motions
- 3 Basic wave dynamics
- 4 Mesoscale wave generation and maintenance
- 5 Orographically forced flows
- 6 Thermally forced flows
- 7 Mesoscale instabilities
- 8 Isolated convective storms
- 9 Mesoscale convective systems
- 10 Dynamics of fronts and jet streaks
- 11 Dynamics of orographic precipitation
- 12 Basic numerical methods
- 13 Numerical modeling of geophysical fluid systems
- 14 Parameterizations of physical processes
- Appendices
- Index
- References
Summary
Introduction
When an air parcel is displaced from its initial position, a restoring force may cause it to return to its initial position. In doing so, inertia will cause the air parcel to overshoot and pass its initial equilibrium position moving in the opposite direction from that in which it is initially displaced, thereby creating an oscillation around the equilibrium position. Concurrently, a wave is produced that propagates from this source region to another part of the fluid system, which is the physical medium of wave propagation. A physical restoring force and a medium for propagation are the two fundamental elements of all wave motion in solids, liquids, and gases, including atmospheric waves, oceanic waves, sound (acoustic) waves, wind induced waves, seismic waves, or even traffic density waves. The ultimate behavior of the wave is dictated by the individual properties of the restoring force responsible for wave generation and the medium through and by which the wave propagates energy and momentum.
From scaling arguments of the so-called primitive equations based on horizontal scales of fluid motion, some of the more important categories of waves observed in the atmosphere may be classified as follows (Table 3.1): (a) sound (acoustic) waves, (b) mesoscale waves, and (c) planetary (Rossby) waves. In this chapter, mesoscale waves are defined in a more general manner, referring to waves that exist and propagate in the atmosphere with a mesoscale wavelength.
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- Mesoscale Dynamics , pp. 22 - 63Publisher: Cambridge University PressPrint publication year: 2007
References
and , 1985. Formation of mesoscale lines of precipitation: Severe squall lines in Oklahoma during the spring. J. Atmos. Sci., 42, 1711–32.2.0.CO;2>CrossRefGoogle Scholar
and , 1967. The critical layer for internal gravity waves in a shear flow. J. Fluid Mech., 27, 513–39.CrossRefGoogle Scholar
, 1971. A nonlinear investigation of critical levels for internal atmospheric gravity waves. J. Fluid Mech., 50, 545–63.CrossRefGoogle Scholar
, 1966. The propagation of groups of internal gravity waves in a shear flow. Quart. J. Roy. Meteor. Soc., 92, 466–80.CrossRefGoogle Scholar
Durran, D. R., 1990. Mountain waves and downslope winds. Atmospheric Processes over Complex Terrain, Meteor. Monogr., No. 45, Amer. Meteor. Soc., 59–81.
Emanuel, K. and D. J. Raymond, 1984. Dynamics of Mesoscale Weather Systems. J. B. Klemp (ed.), NCAR.
Hooke, 1986. Gravity waves. In Mesoscale Meteorology and Forecasting, (ed.), Amer. Meteor. Soc., 272–88.CrossRefGoogle Scholar
and , 1968. Non-linear shallow fluid flow over an isolated ridge. Comm. Pure Appl. Math., 21, 1–23.CrossRefGoogle Scholar
, 1967. Propagation of internal gravity wave in fluids with shear and rotation. J. Fluid Mech., 30, 439–48.CrossRefGoogle Scholar
and , 1975. The dynamics of wave-induced downslope winds. J. Atmos. Sci., 32, 320–39.2.0.CO;2>CrossRefGoogle Scholar
, 1987. Two-dimensional response of a stably stratified flow to diabatic heating. J. Atmos. Sci., 44, 1375–93.2.0.CO;2>CrossRefGoogle Scholar
and , 1983. Instabilities in a stratified fluid having one critical level. Part III: Kelvin-Helmholtz instabilities as overreflected waves. J. Atmos. Sci., 40, 530–42.2.0.CO;2>CrossRefGoogle Scholar
and , 1967. A theoretical and experimental investigation of the phase configuration of internal waves of small amplitude in a density stratified liquid. J. Fluid Mech., 28, 1–16.CrossRefGoogle Scholar
and , 2000. Thermally induced compression waves and gravity waves generated by convective storms. J. Atmos. Sci., 57, 3251–71.2.0.CO;2>CrossRefGoogle Scholar
and , 1999. Effects of critical levels on two-dimensional back-sheared flow over an isolated mountain ridge on an f plane. J. Atmos. Sci., 56, 3286–302.2.0.CO;2>CrossRefGoogle Scholar
, 2003. Inertia-gravity wave and neutral Eady wave trains forced by directionally sheared flow over isolated hills. J. Atmos. Sci., 60, 593–606.2.0.CO;2>CrossRefGoogle Scholar
, 1979. The influence of mountains on the atmosphere. Adv. in Geophys., 21, 87–230.CrossRefGoogle Scholar
, 1986. Further development of a theory of lee cyclogenesis. J. Atmos. Sci., 43, 1582–1602.2.0.CO;2>CrossRefGoogle Scholar
, , and , 1996. The propagation of gravity-inertia waves and lee waves under a critical level. J. Atmos. Sci., 53, 1505–23.2.0.CO;2>CrossRefGoogle Scholar
and , 1988. The pre-storm environment of midlatitude prefrontal squall lines. Mon. Wea. Rev., 116, 790–94.2.0.CO;2>CrossRefGoogle Scholar
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