We present an implementation of a fully variational formulation of an immersed method for fluid–structure interaction problems based on the finite element method. While typical implementation of immersed methods are characterized by the use of approximate Dirac delta distributions, fully variational formulations of the method do not require the use of said distributions. In our implementation the immersed solid is general in the sense that it is not required to have the same mass density and the same viscous response as the surrounding fluid. We assume that the immersed solid can be either viscoelastic of differential type or hyperelastic. Herewefocus on the validation of the method via various benchmarks for fluid–structure interaction numerical schemes. This is the first time that the interaction of purely elastic compressible solids and an incompressible fluid is approached via an immersed method allowing a direct comparison with established benchmarks. ©2015

Benchmarking the immersed finite element method for fluid–structure interaction problems / Roy, Sutapa; Heltai, Luca; Costanzo, F.. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - 69:10(2015), pp. 1167-1188. [10.1016/j.camwa.2015.03.012]

Benchmarking the immersed finite element method for fluid–structure interaction problems

Heltai, Luca;
2015-01-01

Abstract

We present an implementation of a fully variational formulation of an immersed method for fluid–structure interaction problems based on the finite element method. While typical implementation of immersed methods are characterized by the use of approximate Dirac delta distributions, fully variational formulations of the method do not require the use of said distributions. In our implementation the immersed solid is general in the sense that it is not required to have the same mass density and the same viscous response as the surrounding fluid. We assume that the immersed solid can be either viscoelastic of differential type or hyperelastic. Herewefocus on the validation of the method via various benchmarks for fluid–structure interaction numerical schemes. This is the first time that the interaction of purely elastic compressible solids and an incompressible fluid is approached via an immersed method allowing a direct comparison with established benchmarks. ©2015
2015
69
10
1167
1188
10.1016/j.camwa.2015.03.012
https://arxiv.org/abs/1306.0936v3
Roy, Sutapa; Heltai, Luca; Costanzo, F.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/14330
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