Моделирование динамики крупномасштабного облака при мощных взрывах ракетоносителя в неоднородной атмосфере
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Ключевые слова:
взрыв, Протон-М, облако, турбулентность, метод конечных обьемов, моделирование, LESАннотация
В данной работе рассматривается динамика крупномасштабного облака, образующихся при
мощных взрывах, в неоднородной атмосфере, с учетом турбулентного перемешивания и
адиабатического расширения. Численное моделирование осуществляется на основе решения
трехмерного отфильтрованного нестационарного уравнения Навье-Стокса, уравнения
неразрывности, уравнения концентрации, уравнения энтальпии, уравнения состояния для
сжимаемых сред. Модифицированный решатель основан на библиотеке решения задач
математической физики OpenFOAM. Для замыкания основных уравнений используется
вязкостная модель турбулентности. Определены изменение размера облака в атмосфере
в зависимости от термодинамических параметров. Произведен расчет энергии взрыва
рассчитанного от остатка топлива ракетоносителя «Протон-М».
Библиографические ссылки
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MAI, 2003. P - 288.
[3] Fan Y., Fahong L., Jianping SHI . Applications of GIS in Environment Monitoring [electronic
resource]. - Technical Division of Surveying and Mapping, Xian, Shaanxi, China,2011. URL:
http://www.seiofbluemountain.com/upload/product/201105/2011fzjz31.pdf (date of the application: 16.07.2017)
[4] Ferziger and Peric, Computational Methods for Fluid Dynamics. - 3., rev. ed. – Berlin; Heidelberg; New York; Barcelona; Hong Kong; London; Milan; Paris; Tokyo: Springer, 2002. ISBN 3-540-42074-6,-P.251-253.
[5] Garnier, E., Adams, N., and Sagaut, P.: Large Eddy Simulation for Compressible Flows, doi:10.1007/978-90-481-2819-8,
Springer, the Netherlands,2009. -P.276.
[6] Goodchild M. F. GIS and Modeling Overview [electronic resource]. - Ch. 1. National center for geographic information
and analysis university of California Santa Barbara, California. 2008. URL: http://geog.ucsb.edu/ good/papers/414.pdf
(date of the application: 28.08.2017)
[7] Ishii M. and Yamamoto K. "An Environmental Risk Evaluation Method Employing Atmospheric Dispersion Models and
GIS,"Journal of Environmental Protection, Vol. 4 No. 12, 2013, P. 1392-1408. doi: 10.4236/jep.2013.412160.
[8] Jakala D. A GIS Enabled Air Dispersion Modeling Tool for Emergency Management [electronic resource].
- Department of Resource Analysis, Saint Mary’s University of Minnesota, Minneapolis, 2007.URL:
http://www.gis.smumn.edu/GradProjects/JakalaS.pdf (date of the application: 06.08.2017)
[9] Mitchell E. ESRI GIS Analysis Guide. Geographical regularities and interactions / / M: Moscow State University. MV
Lomonosov, Faculty of Geography, 2001. - Volume 1. - Per from the English. – P.190.
[10] Onufriyev, A.T. Teoriya dvizheniya vikhrevogo koltsa pod peystviyem sily tyazhesti. Podyem oblaka atomnogo vzryva //PMTF. 1967. №2. -P.3-15.
[11] Piscaglia, F., Montorfano, A., and Onorati, A.: Towards the LES simulation of IC engines with parallel topologically
changing meshes, SAE Int. J. Engines, 6, 926–940, doi:10.4271/2013-01-1096, 2013.
[12] Shaner J., Wrightsell J. Editing in ArcMap // M: MSU, 2002. – P. 226.
[13] Ungerer, M. J., M. F. Goodchild. 2002. Integrating spatial data analysis and GIS: A new implementation using the
Component Object Model (COM) / International Journal of Geographical Information Science. 2002. – Vol. 16. - Р
41–54.
[14] Zeiler M. Modeling of our world. ESRI’s Guide to Geodatabase Design // M: Moscow State University. MV Lomonosov, Faculty of Geography, 2001. – P.254.
[15] Development of a software package for simulating the dynamics of a cloud formed during a ground-based explosion of a carrier rocket: a report on the research project / RSE "SRC" Garish-Ecology ": hands. Zhubatov Zh. - Almaty, 2015. – P.152. - No.GR 0115РК01057. - Inv. No. 0215RK01616.
[2] Biryukov GP Elements of the theory of the design of space-rocket complexes / GP Biryukov, VI Smirnov. - M. Izd-vo
MAI, 2003. P - 288.
[3] Fan Y., Fahong L., Jianping SHI . Applications of GIS in Environment Monitoring [electronic
resource]. - Technical Division of Surveying and Mapping, Xian, Shaanxi, China,2011. URL:
http://www.seiofbluemountain.com/upload/product/201105/2011fzjz31.pdf (date of the application: 16.07.2017)
[4] Ferziger and Peric, Computational Methods for Fluid Dynamics. - 3., rev. ed. – Berlin; Heidelberg; New York; Barcelona; Hong Kong; London; Milan; Paris; Tokyo: Springer, 2002. ISBN 3-540-42074-6,-P.251-253.
[5] Garnier, E., Adams, N., and Sagaut, P.: Large Eddy Simulation for Compressible Flows, doi:10.1007/978-90-481-2819-8,
Springer, the Netherlands,2009. -P.276.
[6] Goodchild M. F. GIS and Modeling Overview [electronic resource]. - Ch. 1. National center for geographic information
and analysis university of California Santa Barbara, California. 2008. URL: http://geog.ucsb.edu/ good/papers/414.pdf
(date of the application: 28.08.2017)
[7] Ishii M. and Yamamoto K. "An Environmental Risk Evaluation Method Employing Atmospheric Dispersion Models and
GIS,"Journal of Environmental Protection, Vol. 4 No. 12, 2013, P. 1392-1408. doi: 10.4236/jep.2013.412160.
[8] Jakala D. A GIS Enabled Air Dispersion Modeling Tool for Emergency Management [electronic resource].
- Department of Resource Analysis, Saint Mary’s University of Minnesota, Minneapolis, 2007.URL:
http://www.gis.smumn.edu/GradProjects/JakalaS.pdf (date of the application: 06.08.2017)
[9] Mitchell E. ESRI GIS Analysis Guide. Geographical regularities and interactions / / M: Moscow State University. MV
Lomonosov, Faculty of Geography, 2001. - Volume 1. - Per from the English. – P.190.
[10] Onufriyev, A.T. Teoriya dvizheniya vikhrevogo koltsa pod peystviyem sily tyazhesti. Podyem oblaka atomnogo vzryva //PMTF. 1967. №2. -P.3-15.
[11] Piscaglia, F., Montorfano, A., and Onorati, A.: Towards the LES simulation of IC engines with parallel topologically
changing meshes, SAE Int. J. Engines, 6, 926–940, doi:10.4271/2013-01-1096, 2013.
[12] Shaner J., Wrightsell J. Editing in ArcMap // M: MSU, 2002. – P. 226.
[13] Ungerer, M. J., M. F. Goodchild. 2002. Integrating spatial data analysis and GIS: A new implementation using the
Component Object Model (COM) / International Journal of Geographical Information Science. 2002. – Vol. 16. - Р
41–54.
[14] Zeiler M. Modeling of our world. ESRI’s Guide to Geodatabase Design // M: Moscow State University. MV Lomonosov, Faculty of Geography, 2001. – P.254.
[15] Development of a software package for simulating the dynamics of a cloud formed during a ground-based explosion of a carrier rocket: a report on the research project / RSE "SRC" Garish-Ecology ": hands. Zhubatov Zh. - Almaty, 2015. – P.152. - No.GR 0115РК01057. - Inv. No. 0215RK01616.
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Как цитировать
Karzhaubayev K.K., K. .K., Zhakebayev, D. .B., Abdibekova, A. U., & Zhubat, K. Z. (2019). Моделирование динамики крупномасштабного облака при мощных взрывах ракетоносителя в неоднородной атмосфере. Вестник КазНУ. Серия математика, механика, информатика, 96(4), 52–64. извлечено от https://bm.kaznu.kz/index.php/kaznu/article/view/575
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Прикладная математика
