Dual-time stepping method applied to a numerical solution of unsteady incompressible flow with a vibrating profile

0323183 - ÚT 2010 RIV CZ eng C - Conference Paper (international conference)
Honzátko, R. - Horáček, Jaromír - Kozel, K.
Dual-time stepping method applied to a numerical solution of unsteady incompressible flow with a vibrating profile.
Conference Topical Problems of Fluid Mechanics 2009. Praha: Ústav termomechaniky AV ČR, v. v. i., 2009 - (Příhoda, J.; Kozel, K.), s. 41-44. ISBN 978-80-87012-19-2.
[Topical Problems of Fluid Mechanics 2009. Praha (CZ), 25.02.2009-26.02.2009]
R&D Projects: GA AV ČR IAA200760613
Institutional research plan: CEZ:AV0Z20760514
Keywords : aeroelasticity * finite volume method * fluid-structure interaction
Subject RIV: BI - Acoustics

The paper presents numerical solution of two-dimensional incompressible flow in the interaction with a vibrating profile. The profile has two degrees of freedom. Mathematical model is represented either by the Euler equations in the case of inviscid flow or the Navier-Stokes equations in the case of viscous flow. Finite volume method is used as a discretization method. The dual-time stepping method is applied to unsteady simulations. This method provides a possibility to develop a time-accurate time-marching scheme for unsteady incompressible flows. Computational domain deformation due to the profile motion are treated using the Arbitrary Lagrangian-Eulerian method (ALE). Numerical schemes used for unsteady flow calculations are implemented in a form satisfying the geometric conservation law (GCL).
Permanent Link: http://hdl.handle.net/11104/0171223