A Coupled ISPH-TLSPH Method for Simulating Fluid-Elastic Structure Interaction Problems

Abstract

A fully Lagrangian algorithm for numerical simulation of fluid-elastic structure interaction (FSI) problems is developed based on the Smoothed Particle Hydrodynamics (SPH) method. The developed method corresponds to incompressible fluid flows and elastic structures. Divergence-free (projection based) incompressible SPH (ISPH) is used for the fluid phase, while the equations of motion for structural dynamics are solved using Total Lagrangian SPH (TLSPH) method. The temporal pressure noise can occur at the free surface and fluid-solid interfaces due to errors associated with the truncated kernels. A FSI particle shifting scheme is implemented to produce sufficiently homogeneous particle distributions to enable stable, accurate, converged solutions without noise in the pressure field. The coupled algorithm, with the addition of proposed particle shifting scheme, is able to provide the possibility of simultaneous integration of governing equations for all particles, regardless of their material type. This remedy without need for tuning a new parameter, resolves the unphysical discontinuity beneath the interface of fluid-solid media. The coupled ISPH-TLSPH scheme is used to simulate several benchmark test cases of hydro-elastic problems. The method is validated by comparison of the presented results with experiments and numerical simulations from other researchers.

Keywords

Smoothed particle hydrodynamics / Incompressible SPH / Total Lagrangian SPH / Fluidelastic structure interaction / FSI particle shifting scheme

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