Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций
Конференция: International Conference on Numerical Analysis and Applied Mathematics (ICNAAM); Rhodes, GREECE; Rhodes, GREECE
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-LagrangianПоказать 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.
Журнал: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019
Выпуск журнала: Vol. 2293
ISSN журнала: 0094243X
Место издания: MELVILLE
Издатель: AMER INST PHYSICS