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The semi-Lagrangianmethod for theNavier-Stokes problemfor an incompressiblefluid : доклад,тезисы доклада Dementyeva E.Karepova E.Shaidurov V.2017 год

The semi-Lagrangian method for the Navier-Stokes problem for an incompressible fluid : доклад, тезисы доклада
доклад, тезисы доклада, статья из сборника материалов конференций

Дополнительные ссылки: РИНЦ · Источник статьи
База данных: Каталог библиотеки СФУ
Библиографическое описание: The semi-Lagrangian method for the Navier-Stokes problem for an incompressible fluid : доклад, тезисы доклада / E. Dementyeva, E. Karepova, V. Shaidurov. - Текст : непосредственный // AIP CONFERENCE PROCEEDINGS / ??9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS'17 (2017 ; 21.06 - 26.06 ; Albena, Bulgaria) : American Institute of Physics Inc., 2017. - 1895. - P. 110001-110001. - ISBN 978-0-7354-1579-9, DOI 10.1063/1.5007407.
Аннотация: The two-dimensional time-dependent Navier-Stokes equations are considered for a viscous incompressible fluid in a channel. On the outlet boundary, the modified “do nothing” condition is imposed. To construct a discrete analogue, we use the conforming finite element method in the combination with a semi-Lagrangian approach. The velocity components are approximated by biquadratic elements and the pressure is approximated by bilinear elements on rectangles. To overcome the lack of conservation law of the classical semi-Lagrangian method, we propose its conservative version. To guarantee the energy conservation and the stability in the mean-square norm, we use the discrete analogue of the local integral balance between two neighboring time levels. A numerical experiment shows the convergence of the proposed numerical method.
Год издания: 2017
Авторы: Dementyeva E. , Karepova E. , Shaidurov V.
Издательство: American Institute of Physics Inc.
Источник: AIP CONFERENCE PROCEEDINGS
Выпуск: 1895
Мероприятие: ??9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS'17 (Albena, Bulgaria, 2017 ; 21.06 - 26.06)
Номера страниц: 110001-110001
Держатель оригинала документа: Krasnoyarsk Science Centre of the Siberian Branch of Russian Academy of Science
Количество экземпляров:
Твёрдая копия издания отсутствует в фонде библиотеки

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