Adaptive Unified Continuum FEM Modeling of a 3D FSI Benchmark Problem
2016 (English)In: International Journal for Numerical Methods in Biomedical Engineering, ISSN 2040-7939, E-ISSN 2040-7947Article in journal (Refereed) Published
In this paper we address a 3D fluid-structure interaction (FSI) benchmark problem that represents important characteristics of biomedical modeling. We present a goal-oriented adaptive finite element methodology for incompressible FSI 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 is introduced to select the constitutive law, where the mesh tracks the discontinous fluid-structure interface. This results in a unified simulation method for fluids and structures. We present detailed results for the benchmark problem compared to experiments, together with a mesh convergence study.
Place, publisher, year, edition, pages
adaptive finite element method, fluid-structure interaction, benchmark problem
Research subject Applied and Computational Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-198080DOI: 10.1002/cnm.2851OAI: oai:DiVA.org:kth-198080DiVA: diva2:1055374
QC 20151213. cnm.28512016-12-122016-12-122016-12-13Bibliographically approved