Iranian Journal of Geophysics

Iranian Journal of Geophysics

Study of convection-producing instabilities in an ideal simulation of baroclinic waves

Document Type : Research Article

Authors
1 M.Sc. of Meteorology, Institute of Geophysics, University of Tehran, , Tehran, Iran
2 Associate Professor, Department of Space Physics, Institute of Geophysics, University of Tehran, , Tehran, Iran
3 Professor, Department of Space Physics, Institute of Geophysics, University of Tehran, , Tehran, Iran
10.30499/ijg.2026.568501.1744
Abstract
Baroclinic instability is the primary mechanism for the development of synoptic-scale cyclonic systems in the midlatitudes, often accompanied by mesoscale convective systems. Understanding the instabilities contributing to the formation of mesoscale convective features, such as cloud and precipitation bands that can lead to extreme weather events, is of great importance. The instabilities responsible for convection during the development of mesoscale precipitation can be investigated using idealized simulations of baroclinic waves. In this study, the life cycle of idealized baroclinic waves was simulated using the WRF model under initial conditions consisting of a balanced moist jet in a channel with dimensions of 4000 km (zonal), 10,000 km (meridional), and 30 km (vertical), on an f-plane, with horizontal (vertical) resolution of 25 km (250 m), over a period of 15 days. The model configuration included the Kessler and WSM6 microphysics schemes, the Kain–Fritsch convection scheme, and excluded land surface and planetary boundary layer schemes. Model outputs were used to compute the potential temperature (), equivalent potential temperature (), saturated equivalent potential temperature (), potential vorticity (PV), equivalent potential vorticity (EPV), saturated equivalent potential vorticity (SEPV), absolute vorticity, and frontogenesis function. These quantities were used to assess the absolute instability (AI), symmetric instability (SI), potential instability (PI), potential symmetric instability (PSI), conditional instability (CI), conditional symmetric instability (CSI), and inertial instability (II).
Results from the evolution of the baroclinic wave show that its formation on day 5 of the simulation was accompanied by a strong horizontal temperature gradient, the development of a surface front, and an upper-tropospheric jet. The wave reaches its maximum growth on day 8 and begins to decay by day 12. On day 5, when precipitation intensity and amount peak, SI, PI, PSI, CSI, and II occur with similar patterns in both the Kessler and WSM6 schemes. Additionally, CI is released in the WSM6 scheme, suggesting that the more intense precipitation in WSM6 compared to Kessler on day 5 is due to the release of CI in conjunction with CSI and a tilted pattern of II. By day 8, SI, PSI, CI, CSI, and II are still present for both schemes, but precipitation intensities and amounts are reduced compared to day 5. On day 12, when the wave is clearly decaying, the presence of CI and CSI with reduced intensity and the absence of II result in much less precipitation. Furthermore, the evolution of convection, the maximum precipitation intensity, and the peak negative values of EPV and SEPV aligned with the comma head of the baroclinic wave are clearly identifiable on day 5 for both the Kessler and WSM6 schemes. Finally, it can be concluded that the low-resolution (25 km) simulation is unable to adequately capture the rainbands, which are often on the meso-gamma scale. This finding is also consistent with previous studies.
Keywords

Subjects


Charney, J. G., & Eliassen, A. (1964). On the growth of the hurricane depression. Journal of the Atmospheric Sciences, 21, 68-75.
Emanuel, K. A. (1979). Inertial instability and mesoscale convective systems. Part 1: Linear theory of inertial instability in rotating viscous fluids. Journal of the Atmospheric Sciences, 38, 2425-2449.
Emanuel, K. A. (1983). The Lagrangian parcel dynamics of moist symmetric instability. Journal of the Atmospheric Sciences, 40, 2368-2376.
Ganetis, S. A., Colle, B. A., Yuter, S. E., & Hoban, N. P. (2018). Environmental conditions associated with observed snowband structures within Northeast U.S. winter storms. Monthly Weather Review, 146, 3675–3690.
Gharib, A., Mirzaei, M., Ahmadi-Givi, F., & Mohebalhojeh, A. R. (2024). Analysis of the mesoscale structure of moist potential vorticity during an extreme event of snowstorm in Tehran. Dynamics of Atmospheres and Oceans, 107, 101479.
Holton, J. R., & Hakim, G. J. (2013) An Introduction to Dynamic Meteorology. 3rd ed., Academic Press, New York, 532 pp.
Hong, S. Y., Dudhia, J., & Chen, S. H. (2004). A revised approach to ice microphysical processes for the bulk parameterization of clouds and precipitation. Monthly Weather Review, 132(1), 103120.
Hong, S.Y., & Lim, J-O. J. (2006). The WRF Single-Moment 6-Class Microphysics Scheme (WSM6). Journal of the Korean Meteorological Society, 42, 129151.
Kain, J. S. (2004). The Kain–Fritsch convective parameterization: an update. Journal of Applied Meteorology and Climatology, 43, 170–181.
Kessler, E. (1969). On the distribution and continuity of water substance in atmospheric circulation. Meteorological Monographs, 32, American Meteorological Society, 84 pp.
McCann, D. W. (1995). Three-dimensional computations of equivalent potential vorticity. Weather and Forecasting, 10, 798–802.
Martin, J. E., Locatelli, J. D., & Hobbs, P. V. (1992). Organization and structure of clouds and precipitation on the mid-Atlantic Coast of the United States. Part V: The role of an upper-level front in the generation of a rain band. Journal of the Atmospheric Sciences, 49, 1293–1303.
Mirzaei, M., Mohebalhojeh, A. R., Zulicke, C., & Plougonven, R. (2017). On the quantification of imbalance and inertia-gravity waves generated in numerical simulations of moist baroclinic waves using the WRF model. Journal of the Atmospheric Sciences, 74, 4241-4263.
Moore, J. T., & Lambert, T. E. (1993). The use of equivalent potential vorticity to diagnose regions of conditional symmetric instability. Weather and Forecasting, 8, 301–308.
Nicosia, D. J., & Grumm, R. H. (1999). Mesoscale band formation in three major northeastern United States snowstorms. Weather and Forecasting, 14, 346–368.
Norris, J., Vaughan, G., & Schultz, D. M. (2017). Precipitation cores along a narrow cold-frontal rainband in idealized baroclinic waves. Monthly Weather Review, 145, 2971–2992.
Norris, J., Vaughan, G., & Schultz, D. M., (2014). Precipitation banding in idealized baroclinic waves. Monthly Weather Review, 142, 3081–3099.
Novak, D. R., Colle, B. A., & Yuter, S. E. (2008). High-resolution observations and model simulations of the life cycle of an intense mesoscale snowband over the northeastern United States. Monthly Weather Review, 136, 1433–1456.
Novak, D. R., Colle, B. A., & McTaggart-Cowan, R. (2009). The role of moist processes in the formation and evolution of mesoscale snowbands within the comma head of northeast U.S. cyclones. Monthly Weather Review, 137, 2662– 2686.
Plougonven, R., & Snyder, C. (2007). Inertia-gravity waves spontaneously generated by jets and fronts. Part 1: Different life cycles. Journal of the Atmospheric Sciences, 64, 2502–2520.
Schultz, D. M., & Knox, J. A. (2007). Banded convection caused by frontogenesis in a conditionally, symmetrically, and inertially unstable environment. Monthly Weather Review, 135, 2095–2110.
Schultz, D. M., & Schumacher, P. N. (1999). The use and misuse of conditional symmetric instability. Monthly Weather Review, 127, 2709–2732.
Schumacher, R. S., Schultz, D. M., & Knox, J. A. (2010). Convective snowbands downstream of the Rocky Mountains in an environment with conditional, dry symmetric, and inertial instabilities. Monthly Weather Review, 138, 4416–4438.
Tan, Z. M., Zhang, F., Rotunno, R., & Snyder, C. (2004). Mesoscale predictability of moist baroclinic waves: Experiments with parameterized convection. Journal of the Atmospheric Sciences, 61, 1794-1804.
Thorncroft, C. D., Hoskins, B. J., & McIntyre, M. E. (1993). Two paradigms of baroclinic wave life-cycle behaviour. Quarterly Journal of the Royal Meteorological Society, 119, 17-55.
Ullrich, P. A., Reed, K. A., & Jablonowski, C. (2015). Analytical initial conditions and an analysis of baroclinic instability waves in f – and -plane 3D channel models. Quarterly Journal of the Royal Meteorological Society, 141, 2972-2988.
Venkata Rao, G., Venkata Reddy, K., & Sridhar, V. (2020). Sensitivity of microphysical schemes on the simulation of post-monsoon tropical cyclones over the North Indian Ocean. Atmosphere11(12), 1297.
Wallace, J. M., & Hobbs, P.V. (2006). Atmospheric science: an introductory survey. 2nd ed., Elsevier Academic Press, pp 483.
Zhang, D. L., & Cho, H.-R. (1995). Three-dimensional simulation of frontal rainbands and conditional symmetric instability in the Eady-wave model, Tellus A: Dynamic Meteorology and Oceanography, 47, 45-61.

Articles in Press, Accepted Manuscript
Available Online from 11 April 2026