Simulations of incompressible fluid flow-elastic structure interactions by a coupled fully Lagrangian solver

Abstract

This paper presents the simulations of a set of FSI (Fluid-Structure Interaction) problems encountered in ocean engineering by a novel fully-Lagrangian solver corresponding to incompressible fluid flows and elastic structures (Hwang et al., 2014). The fluid and structure models are founded on enhanced versions of Moving Particle Simulation (MPS) method (Koshizuka et al., 1996) and elastic structure (Kondo et al., 2007) model. A distinctive feature of this study is that the simulation method does not include any artificial stabilizing term either in the structure model or the fluid one (Hwang et al., 2014). The fluid-structure coupling is performed in a mathematically- and physically-consistent manner by careful attention to the mathematical concept of projection-based particle methods (i.e. Helmholtz-Hodge decomposition). The accuracy and effectiveness of this novel coupling algorithm is verified by qualitatively and quantitatively evaluating the volume conservation at fluid-structure boundaries. The coupled fluid-structure model is applied to numerical simulations of FSI such as sloshing flow with bottom clamped elastic baffle (Idelsohn et al., 2008) and the impact of an aluminum beam on undisturbed water. 2014). The fluid and structure models are founded on enhanced versions of Moving Particle Simulation (MPS) method (Koshizuka et al., 1996) and elastic structure (Kondo et al., 2007) model. A distinctive feature of this study is that the simulation method does not include any artificial stabilizing term either in the structure model or the fluid one (Hwang et al., 2014). The fluid-structure coupling is performed in a mathematically- and physically-consistent manner by careful attention to the mathematical concept of projection-based particle methods (i.e. Helmholtz-Hodge decomposition). The accuracy and effectiveness of this novel coupling algorithm is verified by qualitatively and quantitatively evaluating the volume conservation at fluid-structure boundaries. The coupled fluid-structure model is applied to numerical simulations of FSI such as sloshing flow with bottom clamped elastic baffle (Idelsohn et al., 2008) and the impact of an aluminum beam on undisturbed water.