Shape Identification for Fluid-Structure Interaction Problem Using Improved Bubble Element

DOI10.1080/10618560108970015zbMath0995.76048OpenAlexW1993385650MaRDI QIDQ2762477

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Publication date: 21 October 2002

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618560108970015

zbMATH Keywords

circular cylinderfluid-structure interactionspatial discretizationshape identificationmixed interpolationSakawa-Shindo methodlinear elementsimproved bubble element

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 (12)

Shape optimisation of wall structures located in solitary wave flows ⋮ Shape optimization of a body located in incompressible flow using adjoint method and partial control algorithm ⋮ SUPG finite element method for adiabatic flows ⋮ Editorial ⋮ Shape determination of wind-resistant wings attached to an oscillating bridge using adjoint equation method ⋮ A platform for parallel CFD FEM computations ⋮ Optimal control of shallow water flow using time-delay function ⋮ Shape optimisation of an oscillating body in fluid flow by adjoint equation and ALE finite element methods ⋮ Development of Common Software Platform on Parallel Computations for Discretized Numerical Schemes and its Application to Finite Element Fluid Dynamics ⋮ New finite element formulation based on bubble function interpolation for the transient compressible Euler equations ⋮ A fractional step method for incompressible viscous flow based on bubble function element stabilization method ⋮ Optimal control of thermal fluid flow using automatic differentiation

Cites Work

• An implementation of the streamline-upwind/Petrov-Galerkin method for linear triangular elements
• Simple \(C^ 0\) approximations for the computation of incompressible flows
• Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
• Lagrangian-Eulerian finite element formulation for incompressible viscous flows
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• A relationship between stabilized finite element methods and the Galerkin method with bubble functions
• An arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and a rigid body
• Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
• An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
• Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations
• ALE finite element computations of fluid-structure interaction problems
• Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
• Experiments with several elements for viscous incompressible flows
• A finite-element study of the onset of vortex shedding in flow past variously shaped bodies
• On global convergence of an algorithm for optimal control

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