一种适用于颗粒非规则分布的阻止SPH数值断裂的方法  

A Method of Preventing SPH Numerical Fracture for Irregular Particle Models

作　　者：赵燕[1] 徐绯[1] 李玉龙[1] 

机构地区：[1]西北工业大学航空学院,陕西西安710072

出　　处：《航空学报》2009年第11期2100-2105,共6页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(10577016);国防基础预研(A2720060277);教育部"新世纪优秀人才支持计划"(NCET-080454);111计划(B07050)

摘　　要：光滑粒子流体动力学(SPH)方法已广泛应用于航空航天领域中大变形的碰撞计算。数值断裂是SPH计算中一种常见问题,可严重影响计算结果。把适用于颗粒规则分布的阻止SPH数值断裂的方法推广到颗粒非规则分布的情形,得到了一种适用于颗粒非规则分布的阻止数值断裂的加颗粒方法。然后将该方法应用于存在数值断裂的悬臂梁弯曲仿真计算,验证了其有效性。最后把该方法应用于弹丸撞击飞机蒙皮的非规则颗粒模型计算,并和规则颗粒模型得到的结果及试验结果进行比较。对比结果表明:对于非规则分布的颗粒模型,该加颗粒方法可有效地阻止数值断裂,提高计算精度,并可较为普遍使用。Smoothed particle hydrodynamics （SPH） method has been applied widely to the calculation of impacts with large deformations in the fields of aeronautics and astronautics. Numerical fractures are often encountered in SPH computations which can seriously reduce the computational accuracy. First, by extending the method of preventing numerical fractures for regular-distribution particle models to irregular-distribution particle models in SPH, an inserting particle method of preventing numerical fracture is obtained for irregular-distribution model. Second, the method is validated by the bending of a 3D cantilever beam with numerical frac- tures. Finally, the method of preventing numerical fractures for irregular particle models is applied to the calculation of impacts of the projectile on the aircraft skin, and the results obtained from regular particle models, irregular particle models and the experiment are compared and analyzed. The results show that numerical fractures can be effectively prevented for irregular particle models, the computational accuracy can be improved, and the method can be applied widely.

关 键 词：光滑粒子流体动力学 断裂 数值断裂 非规则颗粒模型 加颗粒方法 飞机蒙皮 

分 类 号：V215.6[航空宇航科学与技术—航空宇航推进理论与工程] O347[理学—固体力学]