Nonlinear Elasticity for Mesh Deformation with High-Order Discontinuous Galerkin Methods for the Navier-Stokes Equations on Deforming Domains

DOI10.1007/978-3-319-19800-2_5zbMath1361.74010OpenAlexW2342041136MaRDI QIDQ2831183

Bradley Froehle, Per-Olof Persson

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19800-2_5

zbMATH Keywords

optimal-order convergencedomain mappingdiagonally implicit Runge-Kutta time integrators

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Finite element methods applied to problems in fluid mechanics (76M10) Analysis of microstructure in solids (74N15)

Related Items (4)

An alternative choice of the boundary condition for the arbitrary Lagrangian-Eulerian method ⋮ Implicit shock tracking for unsteady flows by the method of lines ⋮ Reference map technique for incompressible fluid–structure interaction ⋮ High-order implicit shock tracking (HOIST)

Cites Work

• Unnamed Item
• Unnamed Item
• A high-order discontinuous Galerkin method for fluid-structure interaction with efficient implicit-explicit time stepping
• Discontinuous Galerkin spectral element approximations on moving meshes
• Discontinuous Galerkin solution of the Navier-Stokes equations on deformable domains
• A new finite element formulation for ALE (Arbitrary Lagrangian Eulerian) compressible fluid mechanics
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• A discontinuous Galerkin ALE method for compressible viscous flows in moving domains
• Design and analysis of robust ALE time-integrators for the solution of unsteady flow problems on moving grids
• Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier–Stokes Equations
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• High‐order CFD methods: current status and perspective
• The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems

This page was built for publication: Nonlinear Elasticity for Mesh Deformation with High-Order Discontinuous Galerkin Methods for the Navier-Stokes Equations on Deforming Domains