DGFEM for dynamical systems describing interaction of compressible fluid and structures

DOI10.1016/j.cam.2013.03.028zbMath1290.65089OpenAlexW2088419473MaRDI QIDQ2016398

Adam Kosík, Miloslav Feistauer, Jaromír Horáček, Jaroslava Hasnedlová-Prokopová, Václav Kučera

Publication date: 20 June 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.03.028

zbMATH Keywords

discontinuous Galerkin methodcompressible Navier-Stokes equationsALE methodNewmark methoddynamic elasticity equationsflow-induced vibrations of vocal folds

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Comparison of numerical methods for the solution of viscous incompressible and low Mach number compressible flow ⋮ Simulating the Linearly Elastic Solid–Solid Interaction with a Cut Cell Method ⋮ Geometric re-meshing strategies to simulate contactless rebounds of elastic solids in fluids ⋮ Monolithic and Partitioned Finite Element Schemes for Fsi Based on an Ale Divergence-Free Hdg Fluid Solver and a Tdnns Structural Solver ⋮ Comparison of discontinuous Galerkin time integration schemes for the solution of flow problems with deformable domains ⋮ Numerical simulation of the interaction between a nonlinear elastic structure and compressible flow by the discontinuous Galerkin method ⋮ On the stability of the ALE space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains. ⋮ On suitable inlet boundary conditions for fluid-structure interaction problems in a channel.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Simulation of unsteady compressible flow in a channel with vibrating walls - influence of the frequency
• On a robust discontinuous Galerkin technique for the solution of compressible flow
• An immersed-boundary method for flow-structure interaction in biological systems with application to phonation
• An arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and a rigid body
• On some fluid–structure iterative algorithms using pressure segregation methods. Application to aeroelasticity