Modified additive-averaged splitting for solving three-dimensional equations of hydrodynamics
Hydrodynamic equations form the basis of modern ecological and meteorological models. The complexity of the implementation of such models is due to three-dimensionality and nonlinearity of the equations, as well as large amounts of data and the need for prompt solutions. The use of parallel computin...
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| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
S. Subbotin Institute of Geophysics of the NAS of Ukraine
2016
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| Онлайн доступ: | https://journals.uran.ua/geofizicheskiy/article/view/107811 |
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| Назва журналу: | Geofizicheskiy Zhurnal |
Репозитарії
Geofizicheskiy Zhurnal| _version_ | 1856543125550399488 |
|---|---|
| author | Katsalova, L. N. |
| author_facet | Katsalova, L. N. |
| author_sort | Katsalova, L. N. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2020-10-07T11:20:03Z |
| description | Hydrodynamic equations form the basis of modern ecological and meteorological models. The complexity of the implementation of such models is due to three-dimensionality and nonlinearity of the equations, as well as large amounts of data and the need for prompt solutions. The use of parallel computing for solving hydrodynamic systems entered in the world practice. This approach makes it possible to reduce solution time significantly, but requires the development of new methods of implementation of the model equations. The described method for solving three-dimensional equations of convective diffusion is a modification of additive-averaged splitting three-dimensional equations. The modification carried out to increase the efficiency of splitting for the parallel computing. The essence of the modification is the introducing a parameter that indicates the number of steps, on which one-dimensional problems are solved by an explicit account in parallel on different processors without exchange of data between them. The results of numerical experiments that confirm the good accuracy, convergence and efficiency of the proposed method are shown. |
| first_indexed | 2025-07-17T11:04:56Z |
| format | Article |
| id | journalsuranua-geofizicheskiy-article-107811 |
| institution | Geofizicheskiy Zhurnal |
| language | Russian |
| last_indexed | 2025-07-17T11:04:56Z |
| publishDate | 2016 |
| publisher | S. Subbotin Institute of Geophysics of the NAS of Ukraine |
| record_format | ojs |
| spelling | journalsuranua-geofizicheskiy-article-1078112020-10-07T11:20:03Z Modified additive-averaged splitting for solving three-dimensional equations of hydrodynamics Katsalova, L. N. hydrodynamics convection diffusion equation parallel computing additive-averaged splitting explicit account method Hydrodynamic equations form the basis of modern ecological and meteorological models. The complexity of the implementation of such models is due to three-dimensionality and nonlinearity of the equations, as well as large amounts of data and the need for prompt solutions. The use of parallel computing for solving hydrodynamic systems entered in the world practice. This approach makes it possible to reduce solution time significantly, but requires the development of new methods of implementation of the model equations. The described method for solving three-dimensional equations of convective diffusion is a modification of additive-averaged splitting three-dimensional equations. The modification carried out to increase the efficiency of splitting for the parallel computing. The essence of the modification is the introducing a parameter that indicates the number of steps, on which one-dimensional problems are solved by an explicit account in parallel on different processors without exchange of data between them. The results of numerical experiments that confirm the good accuracy, convergence and efficiency of the proposed method are shown. S. Subbotin Institute of Geophysics of the NAS of Ukraine 2016-07-15 Article Article application/pdf https://journals.uran.ua/geofizicheskiy/article/view/107811 10.24028/gzh.0203-3100.v38i4.2016.107811 Geofizicheskiy Zhurnal; Vol. 38 No. 4 (2016); 138-145 Геофизический журнал; Том 38 № 4 (2016); 138-145 Геофізичний журнал; Том 38 № 4 (2016); 138-145 2524-1052 0203-3100 ru https://journals.uran.ua/geofizicheskiy/article/view/107811/102881 Copyright (c) 2020 Geofizicheskiy Zhurnal https://creativecommons.org/licenses/by/4.0 |
| spellingShingle | hydrodynamics convection diffusion equation parallel computing additive-averaged splitting explicit account method Katsalova, L. N. Modified additive-averaged splitting for solving three-dimensional equations of hydrodynamics |
| title | Modified additive-averaged splitting for solving three-dimensional equations of hydrodynamics |
| title_full | Modified additive-averaged splitting for solving three-dimensional equations of hydrodynamics |
| title_fullStr | Modified additive-averaged splitting for solving three-dimensional equations of hydrodynamics |
| title_full_unstemmed | Modified additive-averaged splitting for solving three-dimensional equations of hydrodynamics |
| title_short | Modified additive-averaged splitting for solving three-dimensional equations of hydrodynamics |
| title_sort | modified additive-averaged splitting for solving three-dimensional equations of hydrodynamics |
| topic | hydrodynamics convection diffusion equation parallel computing additive-averaged splitting explicit account method |
| topic_facet | hydrodynamics convection diffusion equation parallel computing additive-averaged splitting explicit account method |
| url | https://journals.uran.ua/geofizicheskiy/article/view/107811 |
| work_keys_str_mv | AT katsalovaln modifiedadditiveaveragedsplittingforsolvingthreedimensionalequationsofhydrodynamics |