Generation of Internal Gravity Waves in the Thermosphere during Operation of the SURA Facility under Parametric Resonance Conditions
The problem of excitation of internal gravity waves (IGWs) in the upper atmosphere by an external source of a limited duration of operation is investigated. An isothermal atmosphere was chosen as the propagation environment of IGWs in the presence of a uniform wind that changes over time according t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-10-01
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| Series: | Atmosphere |
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| Online Access: | https://www.mdpi.com/2073-4433/11/11/1169 |
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| author | Gennadiy I. Grigoriev Victor G. Lapin Elena E. Kalinina |
| author_facet | Gennadiy I. Grigoriev Victor G. Lapin Elena E. Kalinina |
| author_sort | Gennadiy I. Grigoriev |
| collection | DOAJ |
| description | The problem of excitation of internal gravity waves (IGWs) in the upper atmosphere by an external source of a limited duration of operation is investigated. An isothermal atmosphere was chosen as the propagation environment of IGWs in the presence of a uniform wind that changes over time according to the harmonic law. For the vertical component of the displacement of an environment, the Mathieu equation with zero initial conditions was solved with the right part simulating the effect of a powerful heating facility on the ionosphere. In the case of a small amplitude of the variable component of the wind, the time dependence of the vertical displacement under parametric resonance conditions using the perturbation method is obtained. The obtained dependence of the solution of the differential equation on the parameters allows us to perform a numerical analysis of the problem in the case of variable wind of arbitrary amplitude. For practical estimations of the obtained values, data on the operating modes of the SURA heating facility (56.15° N, 46.11° E) with periodic (15–30 min) switching on during of 2–3 h for ionosphere impact were used. |
| first_indexed | 2024-03-10T15:14:05Z |
| format | Article |
| id | doaj.art-9ce8d03ad3fa41aa9eb1caa1114bbe09 |
| institution | Directory Open Access Journal |
| issn | 2073-4433 |
| language | English |
| last_indexed | 2024-03-10T15:14:05Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Atmosphere |
| spelling | doaj.art-9ce8d03ad3fa41aa9eb1caa1114bbe092023-11-20T19:03:30ZengMDPI AGAtmosphere2073-44332020-10-011111116910.3390/atmos11111169Generation of Internal Gravity Waves in the Thermosphere during Operation of the SURA Facility under Parametric Resonance ConditionsGennadiy I. Grigoriev0Victor G. Lapin1Elena E. Kalinina2Radiophysical Research Institute Lobachevsky State University of Nizhny Novgorod, Bolshaya Pecherskaya Str., 25/12a, 603950 Nizhny Novgorod, RussiaFederal State Budgetary Educational Institution of Higher Education “Nizhny Novgorod State University of Architecture and Civil Engineering (NNGASU)”, Il’inskaya Str., 65, 603950 Nizhny Novgorod, RussiaRadiophysical Research Institute Lobachevsky State University of Nizhny Novgorod, Bolshaya Pecherskaya Str., 25/12a, 603950 Nizhny Novgorod, RussiaThe problem of excitation of internal gravity waves (IGWs) in the upper atmosphere by an external source of a limited duration of operation is investigated. An isothermal atmosphere was chosen as the propagation environment of IGWs in the presence of a uniform wind that changes over time according to the harmonic law. For the vertical component of the displacement of an environment, the Mathieu equation with zero initial conditions was solved with the right part simulating the effect of a powerful heating facility on the ionosphere. In the case of a small amplitude of the variable component of the wind, the time dependence of the vertical displacement under parametric resonance conditions using the perturbation method is obtained. The obtained dependence of the solution of the differential equation on the parameters allows us to perform a numerical analysis of the problem in the case of variable wind of arbitrary amplitude. For practical estimations of the obtained values, data on the operating modes of the SURA heating facility (56.15° N, 46.11° E) with periodic (15–30 min) switching on during of 2–3 h for ionosphere impact were used.https://www.mdpi.com/2073-4433/11/11/1169internal gravity wavesMathieu equationparametric resonanceperturbation methodvertical displacementpowerful heating facility |
| spellingShingle | Gennadiy I. Grigoriev Victor G. Lapin Elena E. Kalinina Generation of Internal Gravity Waves in the Thermosphere during Operation of the SURA Facility under Parametric Resonance Conditions Atmosphere internal gravity waves Mathieu equation parametric resonance perturbation method vertical displacement powerful heating facility |
| title | Generation of Internal Gravity Waves in the Thermosphere during Operation of the SURA Facility under Parametric Resonance Conditions |
| title_full | Generation of Internal Gravity Waves in the Thermosphere during Operation of the SURA Facility under Parametric Resonance Conditions |
| title_fullStr | Generation of Internal Gravity Waves in the Thermosphere during Operation of the SURA Facility under Parametric Resonance Conditions |
| title_full_unstemmed | Generation of Internal Gravity Waves in the Thermosphere during Operation of the SURA Facility under Parametric Resonance Conditions |
| title_short | Generation of Internal Gravity Waves in the Thermosphere during Operation of the SURA Facility under Parametric Resonance Conditions |
| title_sort | generation of internal gravity waves in the thermosphere during operation of the sura facility under parametric resonance conditions |
| topic | internal gravity waves Mathieu equation parametric resonance perturbation method vertical displacement powerful heating facility |
| url | https://www.mdpi.com/2073-4433/11/11/1169 |
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