BOUNDARY CONDITION IN THE FINITE ELEMENT METHODFOR NAVIER-STOKES EQUATIONS

Author(s): Shaidurov Vladimir Viktorovich, Shchepanovskaya Galina Ivanovna, Yakubovich Maxim Viktorovich

Rubric: Information technology

Release: 2014-1 (4)

Pages: 162-170

Keywords: Navier-Stokes equations, viscous heat-conductive gas, semi-Lagrangian approximation, finite element method

Annotation: In this paper, algorithms are discussed for numerical solution of the two-dimensional Navier-Stokes equations of viscous heat-conductive gas. Discretization of equations in time is realized by semi-Lagrangian method which often is called as the generalized method of characteristics or trajectories. And discretization in space is fulfilled by the finite element method. Particular attention is paid to the possible form of the boundary conditions for the closure of the computational domain and their implications for the numerical simulation in a test problem of gas flow in the channel as an example.

Bibliography: Shaidurov VL.VI., Shchepanovskaya GA.IV., Yakubovich MA.VI. BOUNDARY CONDITION IN THE FINITE ELEMENT METHODFOR NAVIER-STOKES EQUATIONS // Education Resources and Technologies. – 2014. – № 1 (4). – С. 162-170. doi: