Anisotropic Finite Elements for Fluid-Structure Interactions

T. Richter ()
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T. Richter: University of Heidelberg, Institute of Applied Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 63-70 from Springer

Abstract: Abstract In this work, we present an adaptive finite element method for the numerical simulation of fluid-structure interaction problems using anisotropic meshes. By formulating the coupled problem in a fully monolithic variational Arbitrary Lagrangian Eulerian framework, sensitivities for guiding goal-oriented error estimation are easily at hand. The errors are locally estimated separately in the different element-coordinate directions. This allows for a directional splitting of elements and the generation of anisotropic meshes. The goal-oriented error estimator is applied to a stationary benchmark problem coupling the incompressible Navier-Stokes equations with a nonlinear hyper-elastic material law.

Keywords: Arbitrary Lagrangian Eulerian; Anisotropic Mesh; Adaptive Finite Element Method; Anisotropic Mesh Adaptation; Local Projection Stabilization (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_7

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DOI: 10.1007/978-3-642-33134-3_7

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