Rapid Variable Resolution Particle Initialization for Complex Geometries

Abstract

The accuracy of meshless methods like Smoothed Particle Hydrodynamics (SPH) is highly dependent on the quality of the particle distribution. Existing particle initialization techniques often struggle to simultaneously achieve adaptive resolution, handle intricate boundaries, and efficiently generate well-packed distributions inside and outside a boundary. This work presents a fast and robust particle initialization method that achieves these goals using standard SPH building blocks. Our approach enables simultaneous initialization of fluid and solid regions, supports arbitrary geometries, and achieves high-quality, quasi-uniform particle arrangements without complex procedures like surface bonding. Extensive results in both 2D and 3D demonstrate that the obtained particle distributions exhibit good boundary conformity, low spatial disorder, and minimal density variation, all with significantly reduced computational cost compared to existing approaches. This work paves the way for automated particle initialization to accurately model flow in and around bodies with meshless methods, particularly with SPH.

39 pages, 24 figures

References in corpus (14)

• Smoothed Particle Hydrodynamics and Magnetohydrodynamics
• A General Class of Lagrangian Smoothed Particle Hydrodynamics Methods and Implications for Fluid Mixing Problems
• Adaptive resolution for multiphase smoothed particle hydrodynamics
• PySPH: a Python-based framework for smoothed particle hydrodynamics
• Level-set based pre-processing algorithm for particle-based methods
• Fast variable density 3-D node generation
• Efficient and Accurate Adaptive Resolution for Weakly-Compressible SPH
• Algorithms for uniform particle initialization in domains with complex boundaries
• A Feature-aware SPH for Isotropic Unstructured Mesh Generation
• automan: a simple, Python-based, automation framework for numerical computing
• Techniques for second order convergent weakly-compressible smoothed particle hydrodynamics schemes without boundaries
• How to train your solver: Verification of boundary conditions for smoothed particle hydrodynamics
• Robust Solid Boundary Treatment for Compressible Smoothed Particle Hydrodynamics
• Adaptive Compressible Smoothed Particle Hydrodynamics