Тип публикации: статья из журнала
Год издания: 2019
Идентификатор DOI: 10.1007/978-3-030-06228-6_21
Ключевые слова: conservation laws, finite element method, Gas flow in a flat channel, Lagrangian approximations of transfer operator, Navier-Stokes equations, Viscous heat-conducting gas
Аннотация: In the chapter, the numerical modeling of a supersonic flow of a viscous heat-conducting gas in a flat channel with the backward step is considered. A numerical algorithm is proposed for the initial boundary-value problem for the Navier-Stokes equations. These equations are modified and supplemented by new boundary conditions to prПоказать полностьюovide the conservation law for the full energy: kinetic and inner. Then the combination of the Lagrangian approximation for the transfer operators and the conforming finite element method for other terms provides an efficient algorithm. Particular attention has been given to the approximation providing the conservation laws for mass and full energy at discrete level. Test calculations have been performed for a wide range of Mach and Reynolds numbers.
Журнал: Smart Innovation, Systems and Technologies
Выпуск журнала: Т. 133
Номера страниц: 246-265
ISSN журнала: 21903018