Truncation error and energy conservation for fluid-structure interactions.

DOI10.1016/S0045-7825(03)00459-6zbMath1054.74068OpenAlexW2056509172MaRDI QIDQ1420997

Saloua Mani

Publication date: 23 January 2004

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(03)00459-6

zbMATH Keywords

conservationEnergyLarge deformationTime discretizationCoupled schemesLong term accuracy

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite difference methods applied to problems in solid mechanics (74S20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

• Unnamed Item
• Unnamed Item
• The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
• Partitioned procedures for the transient solution of coupled aeroelastic problems. I: Model problem, theory and two-dimensional application.
• Numerical analysis of a linearised fluid-structure interaction problem
• Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity
• Generalized energy-momentum method for nonlinear adaptive shell dynamics
• A second order defect correction scheme for unsteady problems
• Approximations par éléments finis d'un modèle de coques minces géométriquement exact
• Deriving Adequate Formulations for Fluid-Structure Interaction Problems: from ALE to Transpiration
• Fluid-structure interaction with large structural displacements