Baroclinic Instability of a Time-Dependent Zonal Shear Flow
In the real atmosphere, the development of large-scale motion is often related to the baroclinic properties of the atmosphere. So, it is necessary to discuss the stability condition of baroclinic flow. It is advantageous to use a layered model to discuss baroclinic instability, not only to apply the...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Atmosphere |
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| Online Access: | https://www.mdpi.com/2073-4433/13/7/1058 |
| _version_ | 1797440963656810496 |
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| author | Chengzhen Guo Jian Song |
| author_facet | Chengzhen Guo Jian Song |
| author_sort | Chengzhen Guo |
| collection | DOAJ |
| description | In the real atmosphere, the development of large-scale motion is often related to the baroclinic properties of the atmosphere. So, it is necessary to discuss the stability condition of baroclinic flow. It is advantageous to use a layered model to discuss baroclinic instability, not only to apply the potential vortex equation directly, but also to deal with shear of basic flow. The stability and oscillatory shear ability of Rossby waves are studied based on the two-layer Phillips model in the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula> plane; then, we summarize the baroclinic instability of time-dependent zonal shear flows. The multiscale method is used to eliminate some terms of natural frequency oscillations of nonlinear operators in the third-order expansion, thus generating an equation about the amplitude of the lowest-order Rossby wave in the long-time variable. The large amplitude perturbation begins to decrease, which produces the desired behavior. After the amplitude decreases for some time, the amplitude of Rossby waves can still be found to oscillate periodically with the time variable. |
| first_indexed | 2024-03-09T12:16:01Z |
| format | Article |
| id | doaj.art-97955a1bd10640b8abd78631f2242b06 |
| institution | Directory Open Access Journal |
| issn | 2073-4433 |
| language | English |
| last_indexed | 2024-03-09T12:16:01Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Atmosphere |
| spelling | doaj.art-97955a1bd10640b8abd78631f2242b062023-11-30T22:46:43ZengMDPI AGAtmosphere2073-44332022-07-01137105810.3390/atmos13071058Baroclinic Instability of a Time-Dependent Zonal Shear FlowChengzhen Guo0Jian Song1College of Science, Inner Mongolia University of Technology, Hohhot 010051, ChinaCollege of Science, Inner Mongolia University of Technology, Hohhot 010051, ChinaIn the real atmosphere, the development of large-scale motion is often related to the baroclinic properties of the atmosphere. So, it is necessary to discuss the stability condition of baroclinic flow. It is advantageous to use a layered model to discuss baroclinic instability, not only to apply the potential vortex equation directly, but also to deal with shear of basic flow. The stability and oscillatory shear ability of Rossby waves are studied based on the two-layer Phillips model in the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula> plane; then, we summarize the baroclinic instability of time-dependent zonal shear flows. The multiscale method is used to eliminate some terms of natural frequency oscillations of nonlinear operators in the third-order expansion, thus generating an equation about the amplitude of the lowest-order Rossby wave in the long-time variable. The large amplitude perturbation begins to decrease, which produces the desired behavior. After the amplitude decreases for some time, the amplitude of Rossby waves can still be found to oscillate periodically with the time variable.https://www.mdpi.com/2073-4433/13/7/1058baroclinic instabilityzonal basic flowmultiscale method |
| spellingShingle | Chengzhen Guo Jian Song Baroclinic Instability of a Time-Dependent Zonal Shear Flow Atmosphere baroclinic instability zonal basic flow multiscale method |
| title | Baroclinic Instability of a Time-Dependent Zonal Shear Flow |
| title_full | Baroclinic Instability of a Time-Dependent Zonal Shear Flow |
| title_fullStr | Baroclinic Instability of a Time-Dependent Zonal Shear Flow |
| title_full_unstemmed | Baroclinic Instability of a Time-Dependent Zonal Shear Flow |
| title_short | Baroclinic Instability of a Time-Dependent Zonal Shear Flow |
| title_sort | baroclinic instability of a time dependent zonal shear flow |
| topic | baroclinic instability zonal basic flow multiscale method |
| url | https://www.mdpi.com/2073-4433/13/7/1058 |
| work_keys_str_mv | AT chengzhenguo baroclinicinstabilityofatimedependentzonalshearflow AT jiansong baroclinicinstabilityofatimedependentzonalshearflow |