Modeling and Computational Analysis of Multiscale Phenomena in Fluid-Structure Interaction Problems

Oden, J. Tinsley

doi:10.21236/ada248723

Cited by 1 publication

(1 citation statement)

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“…Nevertheless, to the best of the knowledge of the authors, implementation of adaptive FEM in FSI, in particular hp-FEM, is still yet to be fully matured to be an industrial-strength solution technique. Implementation of hpadaptivity in FSI problems might have been instigated from the important work of Oden et al which investigated multiscale phenomena in FSI [15]. Other substantial contributions in this area are arguably made by Dunne [11], and Richter and Wick [16] who proposed goal-oriented hp-adaptivity for FSI problems.…”

Section: Introductionmentioning

confidence: 99%

Adaptive FEM with Domain Decomposition Method for Partitioned-Based Fluid–Structure Interaction

Abas

Abdul-Rahman

2015

Arab J Sci Eng

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A numerical assessment on the solution performance of adaptive finite element methods for fluid-structure interaction (FSI) is presented in this paper. The partitionedbased approach involving separate fluid and structure solvers is considered for adaptive finite element computation with triangular mesh. The performance of the hp-adaptivity, in which error in energy norm is reduced by way of mesh refinement (h) and polynomial order extension ( p), is of particular interest. In addition, parallel solution process based on the domain decomposition method is also assessed due to the complexity of two way coupling scheme. Based on its numerical convergence, the hp-adaptive procedure for the FSI problem is shown to yield the fastest convergence as generally expected. Moreover, our domain decomposition parallelization scheme shows reduction in the computation time by up to order 2. Subsequently, the convergence performance is highly dependent on the aspect ratios of the triangular elements. The solution performance strongly suggests the viability of the parallel hp-adaptive method in partitioned-based FSI formulation.Keywords Fluid-structure interaction · Adaptive finite element method · Arbitrary Lagrangian-Eulerian · Error estimator · Domain decomposition B Aizat Abas

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Section: Introductionmentioning

confidence: 99%