Fluid-structure interaction by the spectral element method

DOI10.1007/s10915-005-9031-2zbMath1099.74068OpenAlexW2058837357MaRDI QIDQ2502067

Nicolas Bodard, Michel O. Deville

Publication date: 12 September 2006

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://infoscience.epfl.ch/record/131038

zbMATH Keywords

Navier-Stokes equationsarbitrary Lagrangian-Eulerian formulationNavier equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items

Evaluation of a coupling interface for solving fluid-structure interaction problems ⋮ A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping ⋮ Solution of moving-boundary problems by the spectral element method ⋮ The immersed molecular finite element method ⋮ Stochastic Eulerian Lagrangian methods for fluid-structure interactions with thermal fluctuations

Cites Work

• Unnamed Item
• An analysis of the fractional step method
• A Legendre spectral element method for simulation of unsteady incompressible viscous free-surface flows
• Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems
• An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
• Spectral-element preconditioners for the Uzawa pressure operator applied to incompressible flows
• A fictitious domain method for Dirichlet problem and applications
• An object-oriented toolbox for spectral element analysis
• Numerical solution of linear elastic problems by spectral collocation methods
• Stability analysis of second-order time accurate schemes for ALE-FEM
• Added-mass effect in the design of partitioned algorithms for fluid--structure problems
• Stability and geometric conservation laws for ALE formulations
• High-Order Methods for Incompressible Fluid Flow
• Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems. II: Mixed Methods for Linear Elasticity and Stokes Flow
• Fluid-structure interaction with large structural displacements
• On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels