Numerical simulation of the interaction between a nonlinear elastic structure and compressible flow by the discontinuous Galerkin method

DOI10.1016/j.amc.2015.02.057zbMath1410.76181OpenAlexW1983263124MaRDI QIDQ669706

Martin Hadrava, Adam Kosík, Jaromír Horáček, Miloslav Feistauer

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.057

zbMATH Keywords

discontinuous Galerkin methodnonlinear elasticityfluid-structure interactioncompressible viscous flow

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

On numerical approximations to fluid-structure interactions involving compressible fluids, BR2 discontinuous Galerkin methods for finite hyperelastic deformations, Monolithic and Partitioned Finite Element Schemes for Fsi Based on an Ale Divergence-Free Hdg Fluid Solver and a Tdnns Structural Solver

Uses Software

• NewtonLib

Cites Work

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• A direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• Goal-oriented error estimation for fluid-structure interaction problems
• DGFEM for dynamical systems describing interaction of compressible fluid and structures
• Simulation of compressible viscous flow in time-dependent domains
• Fluid-structure interaction. Modelling, simulation, optimisation. Proceedings of the workshop, Hohenwart, Germany, October 2005
• Two Dimensional Compressible Fluid-Structure Interaction Model Using DGFEM
• DGFEM for the analysis of airfoil vibrations induced by compressible flow
• An Unsymmetric-Pattern Multifrontal Method for Sparse LU Factorization
• Proposal for Numerical Benchmarking of Fluid-Structure Interaction between an Elastic Object and Laminar Incompressible Flow
• Fluid Dynamics of Human Phonation and Speech