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Conservativesecond-ordermonotonic numericalmethod for solvingtwo-dimensionalcontinuity equation :научное издание Shaydurov Vladimir V.Vyatkin Aleksandr V.Cherednichenko Olga M.2025 год

Conservative second-order monotonic numerical method for solving two-dimensional continuity equation : научное издание
статья из журнала

Дополнительные ссылки: eLibrary
База данных: Каталог библиотеки СФУ
Библиографическое описание: Conservative second-order monotonic numerical method for solving two-dimensional continuity equation : научное издание / Vladimir V. Shaydurov, Aleksandr V. Vyatkin, Olga M. Cherednichenko. - Текст : непосредственный // Russian Journal of Numerical Analysis and Mathematical Modelling. - 2025. - Т.40, №1. - P. 47-59. - ISSN 0927-6467. - ISSN 1569-3988, DOI 10.1515/rnam-2025-0004.
Аннотация: <jats:title>Abstract</jats:title> <jats:p>The paper demonstrates constructing monotone difference scheme for the two-dimensional (in space) transfer equation in divergent form by the Lagrangian–Eulerian approach. It is based on the use of spatial grids formed by the approximate traces of the characteristics for this operator. The use of such special grids made it possible to circumvent the limitation by S. K. Godunov on the absence of monotone schemes above the first order of convergence. A brief theoretical justification for the second order of convergence and supporting results of the computational experiment are presented.</jats:p>
Год издания: 2025
Авторы: Shaydurov Vladimir V. , Vyatkin Aleksandr V. , Cherednichenko Olga M.
Издательство: Walter de Gruyter GmbH & Co. KG, Москва
Источник: Russian Journal of Numerical Analysis and Mathematical Modelling
Выпуск: Т.40, №1
Номера страниц: 47-59
Держатель оригинала документа: Institute of Computational Modeling, Siberian Branch of Russian Academy of Sciences, Krasnoyarsk, Russia, Siberian Federal University, Krasnoyarsk, Russia
Количество экземпляров:
Твёрдая копия издания отсутствует в фонде библиотеки

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