Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019

Год издания: 2020

Идентификатор DOI: 10.1063/5.0026942

Аннотация: We consider a combination of semi-Lagrangian approach and finite element method for initial boundary-value problem for the Navier-Stokes equations. To construct a numerical method, we use uniform space mesh and trilinear functions. For system of Navier-Stokes equations we apply splitting method. We use conservative semi-Lagrangian Показать полностьюapproach for continuity equation. We write momentum equations and equation for internal energy with help of Lagrangian derivative. According to finite element method, we consider weak formulation and get integral equations. To define numerical solution, we approximate integral of Lagrangian derivative according to semi-Lagrangian approach. Other integrals we compute with help of quadrature formulas. © 2020 American Institute of Physics Inc.. All rights reserved.

Журнал: AIP Conference Proceedings

Выпуск журнала: Vol. 2293

ISSN журнала: 0094243X

Издатель: American Institute of Physics Inc.

• Vyatkin A.V. (Institute of Computational Modeling, SB, RAS, Krasnoyarsk, Akaclemgoroclok, 660036, Russian Federation; Siberian Federal University, Krasnoyarsk, Svobodny prospect, 660041, Russian Federation)
• Kuchunova E.V. (Siberian Federal University, Krasnoyarsk, Svobodny prospect, 660041, Russian Federation)
• Yakubovich M.V. (Institute of Computational Modeling, SB, RAS, Krasnoyarsk, Akaclemgoroclok, 660036, Russian Federation)
• Efimov E.A. (Siberian Federal University, Krasnoyarsk, Svobodny prospect, 660041, Russian Federation)

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