Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation

DOI10.1051/m2an:2008020zbMath1142.76032OpenAlexW2059270730MaRDI QIDQ3522261

Takéo Takahashi, Guillaume Legendre

Publication date: 1 September 2008

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/194421

zbMATH Keywords

error estimatesfinite element approximationmethod of characteristics

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

Existence of suitable weak solutions to the Navier-Stokes equations in time varying domains ⋮ A modified Lagrange-Galerkin method for a fluid-rigid system with discontinuous density ⋮ Weak solutions for the motion of a self-propelled deformable structure in a viscous incompressible fluid ⋮ The Lagrange-Galerkin method for fluid-structure interaction problems

Cites Work

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• Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
• On finite element approximation of general boundary value problems in nonlinear elasticity
• Lagrangian-Eulerian finite element formulation for incompressible viscous flows
• A distributed Lagrange multiplier/fictious domain method for the simulation of flow around moving rigid bodies: Application to particulate flow
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
• Direct simulations of 2D fluid-particle flows in biperiodic domains
• Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
• Interpolation theory over curved elements, with applications to finite element methods
• Arbitrary Lagrangian--Eulerian method for Navier--Stokes equations with moving boundaries
• A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid
• Direct simulation of flows of solid-liquid mixtures
• Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries
• Fluid-particle flow: a symmetric formulation
• Mixed explicit/implicit time integration of coupled aeroelastic problems: Three‐field formulation, geometric conservation and distributed solution
• NUMERICAL ANALYSIS OF SOME DECOUPLING TECHNIQUES FOR THE APPROXIMATION OF THE UNSTEADY FLUID STRUCTURE INTERACTION
• Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations
• A SEMI-IMPLICIT APPROACH FOR FLUID-STRUCTURE INTERACTION BASED ON AN ALGEBRAIC FRACTIONAL STEP METHOD
• Convergence of the Lagrange--Galerkin Method for the Equations Modelling the Motion of a Fluid-Rigid System
• One time-step finite element discretization of the equation of motion of two-fluid flows
• A penalty method for the simulation of fluid - rigid body interaction

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