Adaptive unified continuum FEM modeling of a 3D FSI benchmark problem

• 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.

Subject headings

NATURVETENSKAP  -- Data- och informationsvetenskap (hsv//swe)

NATURAL SCIENCES  -- Computer and Information Sciences (hsv//eng)

Keyword

adaptive finite element method

benchmark problem

fluid-structure interaction

Benchmarking

Computer programming

Diffusion in liquids

Finite element method

Mesh generation

Transport properties

Adaptive finite element

Adaptive finite element methods

Bench-mark problems

Bio-medical models

Fluid-structure interfaces

Incompressible fluid-structure interaction

Software frameworks

Streamline diffusion

Fluid structure interaction

Publication and Content Type

ref (subject category)

art (subject category)