A stabilized finite element procedure for turbulent fluid-structure interaction using adaptive time-space refinement. (English) Zbl 1085.76528

Summary: This paper presents our effort to addressing fluid-structure interaction (FSI) problems by means of computational mechanics. A stabilized finite element formulation is used to solve the incompressible Navier-Stokes equations written in primitive variables. The structure is modelled using rigid-body dynamic equations solved using a Runge-Kutta method. The distinctive feature of our approach is the combination of large eddy simulation (LES) - based on implicit turbulence modelling - with time-space adaptive techniques in arbitrary Lagrangian Eulerian co-ordinates (ALE). Three representative numerical examples are presented. The first one is the simulation of turbulent vortex shedding around a fixed obstacle, comparing our two-dimensional (2D) LES results with experiments and more refined three-dimensional (3D) numerical solutions. The second example presents an ALE computation with moving boundaries, where we were able to detect the lock-in phenomenon for an oscillating cylinder driven by periodic vortex shedding. Our final example is the FSI problem associated to the flow around a dominant central span section of the Rio-Niterói bridge, where we compare our results with experiments performed in a wind tunnel.


76M10 Finite element methods applied to problems in fluid mechanics
76F65 Direct numerical and large eddy simulation of turbulence
76D05 Navier-Stokes equations for incompressible viscous fluids
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