title: Adaptive unified continuum FEM modeling of a 3D FSI benchmark problem.
abstract: 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.
authors.affiliation: BCAM-Basque Center for Applied Mathematics, Mazarredo 14, Bilbao, E-48009, Spain.|Department of Computational Science and Technology, KTH Royal Institute of Technology, Stockholm, SE-10044, Sweden.
authors.forename: Johan
authors.initials: J
authors.lastname: Jansson
authors.affiliation: Department of Computational Science and Technology, KTH Royal Institute of Technology, Stockholm, SE-10044, Sweden.
authors.forename: Niyazi Cem
authors.initials: NC
authors.lastname: Degirmenci
authors.affiliation: BCAM-Basque Center for Applied Mathematics, Mazarredo 14, Bilbao, E-48009, Spain.|Department of Computational Science and Technology, KTH Royal Institute of Technology, Stockholm, SE-10044, Sweden.
authors.forename: Johan
authors.initials: J
authors.lastname: Hoffman
mesh_terms: D019985:Benchmarking; D004058:Diffusion; D020342:Finite Element Analysis; D008956:Models, Chemical; D012984:Software
keywords: adaptive finite element method; benchmark problem; fluid-structure interaction