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Adaptive unified continuum FEM modeling of a 3D FSI benchmark problem
Author(s) -
Jansson Johan,
Degirmenci Niyazi Cem,
Hoffman Johan
Publication year - 2017
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.2851
Subject(s) - finite element method , benchmark (surveying) , computer science , mathematics , structural engineering , engineering , geology , geodesy
In this paper, we address a 3D fluid‐structure interaction benchmark problem that represents important characteristics of biomedical modeling. We present a goal‐oriented adaptive finite element methodology for incompressible fluid‐structure interaction based on a streamline diffusion–type stabilization of the balance equations for mass and momentum for the entire continuum in the domain, which is implemented in the Unicorn/FEniCS software framework. A phase marker function and its corresponding transport equation are introduced to select the constitutive law, where the mesh tracks the discontinuous fluid‐structure interface. This results in a unified simulation method for fluids and structures. We present detailed results for the benchmark problem compared with experiments, together with a mesh convergence study.