Fluid-Rigid Body Interaction Analysis for Mesh-Free Particle Method with Polygon Boundary Representation

Abstract

This paper proposes an interaction model between particle-based free-surface flow and polygon-based rigid body dynamics. In our proposed model, we adopt a polygon wall boundary model to represent a rigid body in two-dimensional space. The polygon representation of rigid body is more flexible to express complicated-shaped rigid body compared with conventional particle-based representation. We formulate the model so that forces between fluid and rigid body are balanced on their interface. We employ polygon-based calculations of physical values for a rigid body, which only requires information of rigid body surfaces. A verification test for the proposed model is performed based on a free falling cylinder problem, and the result is compared with a theoretical solution in an equilibrium state of floating body.