Boundary conditions for SPH through energy conservation

Abstract

Dealing with boundary conditions in Smoothed Particle Hydrodynamics (SPH) poses significant difficulties, indeed being one of the SPHERIC Grand Challenges. In particular, wall boundary conditions have been pivotal in SPH model development since it evolved from astrophysics to more generic fluid dynamics simulations. Despite considerable attention from researchers and numerous publications dedicated to formulating and assessing wall boundary conditions, few of them have addressed the crucial aspect of energy conservation. This work introduces a novel boundary condition designed with energy conservation as a primary consideration, effectively extending the unconditional stability of SPH to problems involving wall boundary conditions. The result is formulated within the framework of the Boundary Integrals technique. The proposal is tested on a number of cases: normal impact against a wall, adiabatic oscillations of a piston, dam break, and the water landing of a spacecraft.

arXiv comment35 pages, 25 figures. SPH solver released as free software (see https://gitlab.com/sanguinariojoe/aquagpusph). Accepted for publication on "Computers & Fluids"

References in corpus (4)

• Improving convergence in smoothed particle hydrodynamics simulations without pairing instability
• Experimental investigation of dynamic pressure loads during dam break
• SPHinXsys: an open-source multi-physics and multi-resolution library based on smoothed particle hydrodynamics
• The role of time integration in energy conservation in Smoothed Particle Hydrodynamics fluid dynamics simulations