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6 - Thermally forced flows

Published online by Cambridge University Press:  15 December 2009

Yuh-Lang Lin
Affiliation:
North Carolina State University
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Summary

Some of the basic dynamics of a number of thermally forced flows can be understood by using a known function to represent diabatic heating or cooling. For example, in theoretical studies of sea breeze circulations, the differential heating associated with the land–sea temperature contrast is prescribed as a periodic function at the ground level. This approach makes the mathematical problem more tractable and applicable to other problems related to mesoscale circulations. These problems include heat island circulations, sea and land breezes, mountain-plain solenoidal circulations, density current generation and propagation, formation of thunderstorm cloud tops, as well as circulations and gravity waves that are generated by diabatic heating associated with coastal frontogenesis, moist convection, and orographic precipitation systems.

In this chapter, we will discuss the problems listed above and will place a greater emphasis on the basic dynamics involved. Section 6.1 details the responses of a uniform, steady, continuously stratified flow to a mesoscale heat source or sink. This will make the fundamental dynamics easier to understand. This section will also discuss sinusoidal and isolated heat sources, transient flow response to a mesoscale heat source, pulse heating and steady heating. In addition, this section will include applications of the thermally forced circulation theory to various types of mesoscale circulations. In Section 6.2, we will discuss three-dimensional flow and shear flow over heat sources or sinks. Sections 6.1 and 6.2 will aid in understanding the dynamics of sea and land breezes. Mountain–plain solenoidal circulations are discussed in Sections 6.3 and 6.4.

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Mesoscale Dynamics , pp. 184 - 228
Publisher: Cambridge University Press
Print publication year: 2007

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References

Adler, R. F. and Mack, R. A., 1986. Thunderstorm cloud top dynamics inferred from satellite observations and a cloud top parcel model. J. Atmos. Sci., 43, 1945–60.2.0.CO;2>CrossRefGoogle Scholar
Asai, T., 1972. Thermal instability of a shear flow turning the direction with height. J. Meteor. Soc. Japan, 50, 525–32.CrossRefGoogle Scholar
Baik, J.-J. and Chun, H.-Y., 1997. A dynamical model for urban heat islands. Bound.-Layer Meteor., 83, 463–77.CrossRefGoogle Scholar
Baik, J.-J., Hwang, H.-S., and Chun, H.-Y., 1999. Transient, linear dynamics of a stably stratified shear flow with thermall forcing and a critical level. J. Atmos. Sci., 56, 483–99.2.0.CO;2>CrossRefGoogle Scholar
Banta, R. M., 1990. The role of mountain flows in making clouds. Atmospheric Processes over Complex Terrain, Meteor. Monogr., 45, Amer. Meteor. Soc., 229–83.CrossRefGoogle Scholar
Bretherton, C., 1988. Group velocity and the linear response of stratified fluids to internal heat or mass sources. J. Atmos. Sci., 45, 81–93.2.0.CO;2>CrossRefGoogle Scholar
Bretherton, C., 1993. The nature of adjustment in cumulus cloud fields. In The Representation of Cumulus Convection in Numerical Models, Meteor. Monogr., 46, Amer. Meteor. Soc., 63–74.CrossRefGoogle Scholar
Chun, H.-Y., and Baik, J.-J., 1994. Weakly nonlinear response of a stably stratified atmosphere to diabatic focing in a uniform flow. J. Atmos. Sci., 51, 3109–21.2.0.CO;2>CrossRefGoogle Scholar
Chun, H.-Y., and Lin, Y.-L., 1995. Enhanced response of an atmospheric flow to a line type heat sink in the presence of a critical level. Meteor. Atmos. Phys., 55, 33–45.CrossRefGoogle Scholar
Crook, N. A., and Moncrieff, M. W., 1988. The effect of large-scale convergence on the generation and maintenance of deep moist convection. J. Atmos. Sci., 45, 3606–24.2.0.CO;2>CrossRefGoogle Scholar
Dailey, P. S. and Fovell, R. G., 1999. Numerical simulation of the interaction between the sea-breeze front and horizontal convective rolls. Part I: Offshore ambient flow. Mon. Wea. Rev., 127, 858–78.2.0.CO;2>CrossRefGoogle Scholar
Dalu, G. A. and Pielke, R. A., 1989. An analytical study of the sea breeze. J. Atmos. Sci., 46, 1815–25.2.0.CO;2>CrossRefGoogle Scholar
DeSouza, R. L., 1972. A study of atmospheric flow over a tropical island. M. S. thesis, Dept. of Meteor., Florida State University.
Doyle, J. D. and Warner, T. T., 1993. Nonhydrostatic simulations of coastal mesoscale vortices and frontogenesis. Mon. Wea. Rev., 121, 3371–92.2.0.CO;2>CrossRefGoogle Scholar
Fovell, R. G. 2005. Convective initiation ahead of the sea-breeze front. Mon. Wea. Rev., 133, 264–78.CrossRefGoogle Scholar
Garstang, M., Tyson, P. D., and Emmitt, G. D., 1975. The structure of heat islands. Rev. Geophys. Space Phys., 13, 139–65.CrossRefGoogle Scholar
Heymsfield, G. M. and Blackmer, R. H. Jr., 1988. Satellite-observed characteristics of Midwest severe thunderstorm anvils. Mon. Wea. Rev., 116, 2200–24.2.0.CO;2>CrossRefGoogle Scholar
Hildebrand, F. B., 1976. Advanced Calculus for Applications. 2nd edn., Prentice-Hall Inc., USA.Google Scholar
Hjelmfelt, M. R., 1982. Numerical simulations of the effects of St. Louis on mesoscale boundary layer airflow and vertical air motion: Simulations of urban vs non-urban effects. J. Appl. Meteor., 31, 1239–57.2.0.CO;2>CrossRefGoogle Scholar
Hsu, H.-M., 1987. Mesoscale lake-effect snowstorms in the vicinity of Lake Michigan: Linear theory and numerical simulations. J. Atmos. Sci., 44, 1019–40.2.0.CO;2>CrossRefGoogle Scholar
Kimura, R., and Eguchi, T., 1978. On dynamical processes of sea- and land-breeze circulation. J. Meteor. Soc. Japan, 56, 67–85.CrossRefGoogle Scholar
Koch, S. E., Zhang, F., Kaplan, M. L., Lin, Y.-L., Weglarz, R. P., and Trexler, C. M., 2001: Numerical simulations of a gravity wave event over CCOPE. Part III: The role of a mountain-plains solenoid in the generation of the second wave episode. Mon. Wea. Rev., 129, 909–33.2.0.CO;2>CrossRefGoogle Scholar
Lin, C. A. and Stewart, R. E., 1991. Diabatically forced mesoscale circulations in the atmosphere. Adv. Geophys., 33, 267–305.CrossRefGoogle Scholar
Lin, Y.-L., 1986. Calculation of airflow over an isolated heat source with application to the dynamics of V-shaped clouds. J. Atmos. Sci., 43, 2736–51.2.0.CO;2>CrossRefGoogle Scholar
Lin, Y.-L., 1987. Two-dimensional response of a stably stratified flow to diabatic heating. J. Atmos. Sci., 44, 1375–93.2.0.CO;2>CrossRefGoogle Scholar
Lin, Y.-L., 1989. Inertial and frictional effects on stratified hydrostatic airflow past an isolated heat source. J. Atmos. Sci., 46, 921–36.2.0.CO;2>CrossRefGoogle Scholar
Lin, Y.-L., 1990. A theory of cyclogenesis forced by diabatic heating. Part II: A semi-geostrophic approach. J. Atmos. Sci., 47, 1755–77.2.0.CO;2>CrossRefGoogle Scholar
Lin, Y.-L., 1996. Structure of dynamically unstable shear flow and their implications for shallow internal gravity waves. Part II: Nonlinear response. Meteor. Atmos. Phys., 59, 153–72.CrossRefGoogle Scholar
Lin, Y.-L. and Chun, H.-Y., 1991: Effects of diabatic cooling in a shear flow with a critical level. J. Atmos. Sci., 48, 2476–91.2.0.CO;2>CrossRefGoogle Scholar
Lin, Y.-L. and Li, S., 1988. Three-dimensional response of a shear flow to elevated heating. J. Atmos. Sci., 45, 2987–3002.2.0.CO;2>CrossRefGoogle Scholar
Lin, Y.-L. and Smith, R. B., 1986. Transient dynamics of airflow near a local heat source. J. Atmos. Sci., 43, 40–9.2.0.CO;2>CrossRefGoogle Scholar
Lin, Y.-L., Wang, T.-A., and Weglarz, R. P., 1993. Interaction between gravity waves and cold air outflows in a stably stratified uniform flow. J. Atmos. Sci., 50, 3790–816.2.0.CO;2>CrossRefGoogle Scholar
Lyons, W. A. and Olsson, L. E., 1972. The climatology and prediction of the Chicago lake breeze. J. Appl. Meteor., 11, 1254–72.2.0.CO;2>CrossRefGoogle Scholar
Nicholls, M. E., Pielke, R. A., and Cotton, W. R., 1991. Thermally forced gravity waves in an atmosphere at rest. J. Atmos. Sci., 48, 1869–84.2.0.CO;2>CrossRefGoogle Scholar
Niino, H., 1987. The linear theory of land and sea breeze circulation. J. Meteor. Soc. Japan, 65, 901–21.CrossRefGoogle Scholar
Ogura, Y. and Liou, M.-T., 1980. The structure of a midlatitude squall line: A case study. J. Atmos. Sci., 37, 553–67.2.0.CO;2>CrossRefGoogle Scholar
Olfe, D. B. and Lee, R. L., 1971. Linearized calculation of urban heat island convection effects. J. Atmos. Sci., 28, 1374–88.2.0.CO;2>CrossRefGoogle Scholar
Orville, H. D., 1964. On mountain upslope winds. J. Atmos. Sci., 21, 622–33.2.0.CO;2>CrossRefGoogle Scholar
Orville, H. D., 1968. Ambient wind effects on the initiation and development of cumulus clouds over mountains. J. Atmos. Sci., 25, 385–403.2.0.CO;2>CrossRefGoogle Scholar
Raymond, D. J., 1972. Calculation of airflow over an arbitrary ridge including diabatic heating and cooling. J. Atmos. Sci., 29, 837–43.2.0.CO;2>CrossRefGoogle Scholar
Raymond, D. J. and Rotunno, R., 1989. Response of a stably stratified flow to cooling. J. Atmos. Sci., 46, 2830–37.2.0.CO;2>CrossRefGoogle Scholar
Reuter, G. W. and Jacobsen, O., 1993. Effects of variable wind shear on the mesoscale circulation forced by slab-symmetric diabatic heating. Atmosphere-Ocean, 31, 451–69.CrossRefGoogle Scholar
Riordan, A. J., 1990. Examination of the mesoscale features of the GALE coastal front of 24–25 January 1986. Mon. Wea. Rev., 118, 258–82.CrossRefGoogle Scholar
Riordan, A. J. and Lin, Y.-L., 1992. Mesoscale wind signatures along the Carolina coast. Mon. Wea. Rev., 120, 2786–97.2.0.CO;2>CrossRefGoogle Scholar
Robichaud, A. and Lin, C. A., 1989. Simple models of diabatically forced mesoscale circulations and a mechanism for amplification. J. Geophys. Res., 94, D3, 3413–26.CrossRefGoogle Scholar
Rotunno, R., 1983. On the linear theory of the land and sea breeze. J. Atmos. Sci., 40, 1999–2009.2.0.CO;2>CrossRefGoogle Scholar
Schmidt, J. M. and Cotton, W. R., 1990. Interactions between upper and lower atmospheric gravity waves on squall line structure and maintenance. J. Atmos. Sci., 47, 1205–22.2.0.CO;2>CrossRefGoogle Scholar
Simpson, J. E., 1994. Sea Breeze and Local Winds. Cambridge University Press.Google Scholar
Smith, R. B., 1980. Linear theory of stratified hydrostatic flow past an isolated mountain. Tellus, 32, 348–64.CrossRefGoogle Scholar
Smith, R. B. and Lin, Y.-L., 1982. The addition of heat to a stratified airstream with application to the dynamics of orographic rain. Quart. J. Roy. Meteor. Soc., 108, 353–78.CrossRefGoogle Scholar
Song, I.-S. and Chun, H.-Y., 2005. Momentum flux spectrum of convectively forced internal gravity waves and its application to gravity wave drag parameterization. Part I: Theory. J. Atmos. Sci., 62, 107–24.CrossRefGoogle Scholar
Sousounis, P. J. and Shirer, H. N., 1992. Lake aggregate mesoscale disturbances. Part I: Linear analysis. J. Atmos. Sci., 49, 80–96.2.0.CO;2>CrossRefGoogle Scholar
Sun, W.-Y., 1978. Stability analysis of cloud streets. J. Atmos. Sci., 35, 466–83.2.0.CO;2>CrossRefGoogle Scholar
Sun, W.-Y. and Orlanski, I., 1981a. Large mesoscale convection and sea breeze circulation. Part I: Linear stability analysis. J. Atmos. Sci., 38, 1675–93.2.0.CO;2>CrossRefGoogle Scholar
Sun, W.-Y. and Orlanski, I., 1981b. Large mesoscale convection and sea breeze circulation. Part 2: Non-Linear numerical model. J. Atmos. Sci., 38, 1694–706.2.0.CO;2>CrossRefGoogle Scholar
Szeto, K. K., Lin, C. A., and Steward, R. E., 1988. Mesoscale circulations forced by melting snow. II: Application to meteorological features. J. Atmos. Sci., 45, 1642–50.2.0.CO;2>CrossRefGoogle Scholar
Thorpe, A. J., Miller, M. J., and Moncrieff, M. W., 1980. Dynamical models of two-dimensional downdraughts. Quart. J. Roy. Meteor. Soc., 106, 463–84.CrossRefGoogle Scholar
Tripoli, G. J. and Cotton, W. R., 1989. Numerical study of an observed mesoscale convective system. Part I: Simulated genesis and comparison with observations. Mon. Wea. Rev., 117, 273–304.2.0.CO;2>CrossRefGoogle Scholar
Wang, P. K., 2003. Moisture plumes above thunderstorm anvils and their contributions to cross-tropopause transport of water vapor in midlatitudes. J. Geophys. Res., 108, D6, 4194–208.CrossRefGoogle Scholar
Wolyn, P. G. and McKee, T. B., 1994. The mountain-plains circulation east of a 2-km-high north-south barrier. Mon. Wea. Rev., 122, 1490–508.2.0.CO;2>CrossRefGoogle Scholar
Xie, L. and Lin, Y.-L., 1996. Responses of low-level flow to an elongated surface heat source with application to coastal frontogenesis. Mon. Wea. Rev., 124, 2807–27.2.0.CO;2>CrossRefGoogle Scholar

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