Goal-oriented error estimation in the analysis of fluid flows with structural interactions

DOI10.1016/j.cma.2005.10.020zbMath1122.76055OpenAlexW2026706374MaRDI QIDQ996666

Klaus-Jürgen Bathe, Thomas Grätsch

Publication date: 24 September 2007

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2005.10.020

zbMATH Keywords

coarse meshespackage ADINA

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)

Related Items

Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction ⋮ A monolithic geometric multigrid solver for fluid-structure interactions in ALE formulation ⋮ Adaptive finite element approximation of multiphysics problems ⋮ On the adjoint-consistent formulation of interface conditions in goal-oriented error estimation and adaptivity for fluid-structure interaction ⋮ Adaptive time-step control for nonlinear fluid-structure interaction ⋮ Goal-oriented error estimation and adaptivity for fluid-structure interaction using exact linearized adjoints ⋮ Variational localizations of the dual weighted residual estimator ⋮ An equilibrated fluxes approach to the certified descent algorithm for shape optimization using conforming finite element and discontinuous Galerkin discretizations ⋮ Goal-oriented error estimation for fluid-structure interaction problems ⋮ A coupled lattice Boltzmann-finite element approach for two-dimensional fluid-structure interaction ⋮ Dual weighted residual error estimation for the finite cell method ⋮ On the differentiability of fluid-structure interaction problems with respect to the problem data ⋮ Efficient simulation of free surface flows with discrete least-squares meshless method usinga priorierror estimator ⋮ A nine-node quadrilateral FCBI element for incompressible fluid flows

Uses Software

• ADINA

Cites Work

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• Goal-oriented error estimation and adaptivity for the finite element method