Experiment for validation of fluid‐structure interaction models and algorithms

Abstract

In this paper a fluid‐structure interaction (FSI) experiment is presented. The aim of this experiment is to provide a challenging yet easy‐to‐setup FSI test case that addresses the need for rigorous testing of FSI algorithms and modeling frameworks. Steady‐state and periodic steady‐state test cases with constant and periodic inflow were established. Focus of the experiment is on biomedical engineering applications with flow being in the laminar regime with Reynolds numbers 1283 and 651. Flow and solid domains were defined using computer‐aided design (CAD) tools. The experimental design aimed at providing a straightforward boundary condition definition. Material parameters and mechanical response of a moderately viscous Newtonian fluid and a nonlinear incompressible solid were experimentally determined. A comprehensive data set was acquired by using magnetic resonance imaging to record the interaction between the fluid and the solid, quantifying flow and solid motion.

Numerical Study of a 3D Eulerian Monolithic Formulation for Incompressible Fluid-Structures Systems

“…System (15) is found by expanding the nonlinear terms in (20), and keeping only the zero order terms and the terms of order one in δt.…”

“…As in [20], the density of the silicone filament is ρ s = 1.0583 × 10 −3 g/mm 3 . The incompressible Mooney-Rivlin hyperelastic coefficients are determined by curve-fitting to uni-axial tensile-load displacement test data.…”

“…Experimental measurements are available [20] so it is intended to make them into a well-documented benchmark for the community. The geometry is always a clamped beam in a container; in all but the first case there is a flow in the container but to initialize the computation the position of the beam is computed with a stagnant fluid.…”

“…An experiment was designed by Hessenthaler et al [20] to calibrate the computer simulations of Larma [26].…”

“…Energy decrease, mass conservation and convergence are analyzed on an axisymmetric case: an elastic torus in a cylindrical canister filled with a fluid at a Reynolds number of a few hundred. Then, the method is carefully evaluated on the test case proposed in [20] and comparisons with previous publications are made.…”