Numerical simulation of fluid-structure interactions with stabilized finite element method. (November 2017)

• Record Type: Journal Article
• Authors: Sváček, Petr
• Is Part Of: Advances in engineering software. Volume 113(2017)
• Page Start: 96
• Page End: 107
• Publication Date: 2017-11
• Subjects: Finite element method -- Aeroelasticity -- ALE method; Computer-aided engineering -- Periodicals; Engineering -- Computer programs -- Periodicals; Engineering -- Software -- Periodicals; Periodicals; 620.0028553
• DOI: 10.1016/j.advengsoft.2016.08.012
• Languages: English
• ISSNs: 0965-9978

Abstract

Abstract: In this paper the problem of numerical approximation of an interaction of the incompressible viscous flow with a vibrating airfoil is considered. The attention is paid to the practical implementation of the finite element based solver. The underlying mathematical model is based on the incompressible Navier–Stokes equations coupled with the continuity equation. The arbitrary Lagrangian–Eulerian method is used to treat the time dependent domain. The weak formulation of the Navier–Stokes equation is introduced and several important issues are addressed. The numerical method based on the fully stabilized finite element method is described in details. The numerical results are shown. The reliability of the method is discussed.