DGFEM for the numerical solution of compressible flow in time dependent domains and applications to fluid-structure interaction

0349278 - ÚT 2011 RIV PT eng C - Conference Paper (international conference)
Feistauer, M. - Česenek, J. - Horáček, Jaromír - Kučera, V. - Prokopova, J.
DGFEM for the numerical solution of compressible flow in time dependent domains and applications to fluid-structure interaction.
Proceedings of the ECCOMAS CFD 2010. Lisbon: ECCOMAS CFD 2010, 2010 - (Pereira, J.; Sequeira, A.), s. 1-20. ISBN 978-989-96778-1-4.
[European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010 /5/. Lisbon (PT), 14.06.2010-17.06.2010]
R&D Projects: GA MŠMT OC09019
Institutional research plan: CEZ:AV0Z20760514
Keywords : Euler and Navier stokes equations * ALE method * flow in a channel with moving walls
Subject RIV: BI - Acoustics

The paper is concerned with the simulation of inviscid and viscous compressible flow in time dependent domains. The motion of the boundary of the domain occupied by the fluid is taken into account with the aid of the ALE formulation of the Euler and Navier-Stokes equations describing compressible flow. They are discretized by the discontinuous Galerkin finite element method using piecewise polynomial discontious approximations. The time discretization is based on a semi-implicit linearized scheme, which leads to the solution of a linear algebraic system on each time level. We use special treatment of boundary conditions and shock capturing, allowing the solution of flow with a wide range of Mach numbers. As a result we get an efficient and robust numerical process. The applicability of the developed method will be demonstrated by computational results obtained for compressible iviscid and viscous flow in channels with moving walls and flow induced airfoil vibrations.
Permanent Link: http://hdl.handle.net/11104/0189561