IMPLICIT PARTICLE-IN-CELL FORMULATION FOR INCOMPRESSIBLE SOLID-FLUID INTERACTION PROBLEM

Abstract

This paper focuses on a solid-fluid interaction scheme using PIC (Particle-in-cell) method based on a spatially-fixed Cartesian mesh and proposes a novel implicit scheme to relax the limitation of time-step size. In the present PIC scheme, a solid region is represented by a set of Lagrangian particles, which carry internal variables of solid. Basic equations and spatial derivatives are computed on a fixed Cartesian mesh. A forth-order Jacobian tensor is introduced for the proposed implicit scheme. The present method is validated from the viewpoint of solid deformation, time history of energy, and spatial convergence in solid-fluid interaction benchmark problems.