Efficient local smoothed particle hydrodynamics with precomputed patches

ABSTRACT

This paper presents an improved method for applying smoothed particle hydrodynamics within a nested Lagrangian domain of fluid particles. In our previous implementation, ghost particles, generated by Poisson-disk sampling to enclose the region occupied by fluid particles, transferred necessary physical quantities from the outer domain to the fluid. Using this technique, the local fluid motion agreed with results simulated by SPH over the entire domain. However, the cost of generating ghost particles was burdensome. We propose herein a much less expensive, patch-based sampling method to generate ghost particles. In this new approach, the ghost particles are generated locally around each fluid particle and corresponding physical quantities are determined using the local ghost particles. Furthermore, we introduce a new formulation that determines the physical quantities of ghost particles from the outer domain, and transfers them to the local fluid particles.

KEYWORDS:

• Smoothed particle hydrodynamics
• fluid simulation
• boundary conditions
• particle-based method
• Poisson-disk sampling

2010 AMS SUBJECT CLASSIFICATIONS:

• 68U20
• 65M99

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by JSPS KAKENHI (grant nos. JP00351320 and JP17J00443).