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小行星SPH建模技术和超高速碰撞

Asteroid Modeling Technology and Hypervelocity Collisions

  • 摘要: 针对小行星几何形状复杂、建模效率低、碰撞动量传递机理不明晰等问题,开发了基于包围体层次(Bounding Volume Hierarchy,BVH)加速的体素化建模方法,通过光滑粒子流体动力学方法(Smoothed Particle Hydrodynamics,SPH)计算分析了超高速碰撞下动量传递的规律。研究结果表明:相对于GPU(Graphics Processing Unit)体素化建模方法,研究采用BVH体素化方法,效率提升86.8%,单元识别准确率达96.5%,粒子质量误差小于3.5%;撞击角度与动量传递因子强相关,60°撞击时取得最大值3.82,较30°撞击提升41.7%;喷出物反冲效应贡献了小行星68.3%的动量变化。本研究证实BVH体素化方法可高效处理内凹几何体(建模速度达传统方法的7.3倍),60°撞击角度能最大化碎石堆结构小行星的动量传递效率(β > 3.5),所建技术链可推广至千米级天体防御场景,为多拦截器协同轨道优化提供关键工具支持。

     

    Abstract: To address the challenges of complex asteroid geometries, low modeling efficiency, and unclear momentum transfer mechanisms during hypervelocity collisions, a voxelization modeling method accelerated by a Bounding Volume Hierarchy (BVH) structure was developed. Key momentum transfer laws under hypervelocity impact were computationally analyzed using the Smoothed Particle Hydrodynamics (SPH) method. The results demonstrated that compared to GPU-based voxelization methods, the present approach achieved an 86.8% efficiency gain in voxelization processing, with an voxel identification accuracy of 96.5% and particle mass errors below 3.5%. A strong correlation existed between impact angle and momentum transfer factor (β), peaking at β = 3.82 for a 60° impact—representing a 41.7% increase over the 30° impact case. Ejecta-induced recoil contributed 68.3% of the total momentum change imparted to the asteroid. This study confirms that the BVH-accelerated voxelization method efficiently handles concave geometries (7.3 times faster than conventional methods) and identifies 60° as the optimal impact angle for maximizing momentum transfer efficiency in rubble-pile asteroids (β > 3.5). The established technical framework is scalable to kilometer-scale celestial body deflection scenarios, providing critical tool support for optimizing multi-impactor collaborative trajectories.

     

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