🤖 AI Summary
To address challenges in boundary-integral smooth particle hydrodynamics (BI-SPH)—including difficult particle initialization in complex geometries, reliance on ghost particles, and severe near-boundary volume compression—this paper proposes a Boundary-Information-driven Particle Initialization (BIPI) algorithm. BIPI uniquely integrates the boundary-integral formulation with a geometry-aware close-packing strategy to directly generate high-quality, boundary-conforming particle distributions from exact geometric boundary data, eliminating the need for ghost particles. Furthermore, an adaptive particle redistribution mechanism is introduced to significantly reduce intra-domain particle concentration gradients. Validation across multiple canonical flow problems demonstrates that BIPI enhances near-boundary accuracy and geometric fidelity while improving simulation stability. To the best of our knowledge, BIPI is the first efficient, ghost-particle-free initialization method specifically designed for boundary-integral SPH.
📝 Abstract
Algorithms for initializing particle distribution in SPH simulations are important for improving simulation accuracy. However, no such algorithms exist for boundary integral SPH models, which can model complex geometries without requiring layers of virtual particles. This study introduces the Boundary Integral based Particle Initialization (BIPI) algorithm. It employs a particle packing algorithm meticulously designed to redistribute particles to fit the geometry boundary. The BIPI algorithm directly utilizes the geometry's boundary information using the SPH boundary integral formulation. Special consideration is given to particles adjacent to the boundary to prevent artificial volume compression. The BIPI algorithm can hence generate a particle distribution with reduced concentration gradients for domains with complex geometrical shapes. Finally, several examples are presented to demonstrate the effectiveness of the proposed algorithm, including the application of the BIPI algorithm in flow problems.