Numerical Prediction for Damping Effects of Suspended Deformable Bodies on Wave Motions of Free-Surface Flows

Abstract

The damping effects on the free-surface motions due to the presence of the deformable solid bodies suspended in the fluid were numerically investigated. The computational method is based on a full Eulerian model that can deal with the interactions between Newtonian fluids and visco-hyperelastic solid bodies. In the numerical predictions, the free-surface motions caused by the so-called dam-break conditions, including four spherical visco-hyperelastic bodies, were calculated with two cases of non-dimensional shear moduli, G = 0.1 and 10.0, of the visco-hyperelastic bodies, which have the same density as that of the liquid phase. As a result of the computations, the following reasonable results were obtained; when the solid bodies are highly flexible (G = 0.1), the free-surface motions are almost the same as those having no solid bodies. In contrast, it was demonstrated that the damping effects are obviously large in case that the stiffness of solid bodies increases (G = 10.0).