A Partitioned Lagrangian-Lagrangian Approach for Fluid-Solid Interaction Problems

Abstract

We present a Lagrangian-Lagrangian method for solving Fluid-Solid Interaction (FSI) problems in which the solid phase is deformable/compliant. The fluid phase is modeled using Smoothed Particles Hydrodynamics (SPH); the deformable bodies are modeled with the Absolute Nodal Coordinate Formulation (ANCF). Each phase is integrated implicitly in time and the solutions are coupled explicitly by a force-displacement coupling in which the fluid-on-solid effect is modeled via forces applied to the solid phase; and, the solid-on-fluid effect is modeled via fluid boundary conditions. We validate the formulation against two experimental tests: dam brake and elastic gate analysis.