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多孔体撞击的数值模拟:I。在三维SPH水程序中实现亚分辨率孔隙度

Numerical simulations of impacts involving porous bodies: I. Implementing sub-resolution porosity in a 3D SPH Hydrocode

M. Jutzi, W. Benz, P. Michel

摘要:

在本文中,我们扩展我们的光滑粒子流体动力学(SPH)的影响代码,包括孔隙度的影响,在一个亚分辨率尺度,通过适应所谓的$P-alpha$模型。据信,不同小行星和彗星群中的许多小天体都具有高度的孔隙度,要确定它们的碰撞演化及其破裂的结果,就必须在计算这些过程时考虑到孔隙度的影响。在这里,我们提出了我们的模型,并显示如何孔隙度接口与弹性理想塑性材料的描述和脆性断裂模型通常用于模拟非多孔岩体的破碎。我们调查各种压实模型,并讨论其适用性,以模拟压实(高度)多孔材料。然后,我们执行简单的测试用例,将模拟结果与理论解决方案进行比较。我们还提出了一个类似深冲击的模拟,以显示影响的结果上的孔隙度的效果。详细的验证试验将在下一篇论文中通过与多孔材料的高速实验室实验进行比较(Jutzi等人,正在准备中)。一旦在小尺度上得到验证,我们的新撞击代码就可以在更大的尺度上用于研究涉及脆性固体(包括孔隙)的撞击和碰撞,例如C型小行星家族或彗星物质的母体,无论是在强度还是在重力主导的状态下。

英文摘要:

In this paper, we extend our Smooth Particle Hydrodynamics (SPH) impact code to include the effect of porosity at a sub-resolution scale by adapting the so-called $P-alpha$ model. Many small bodies in the different populations of asteroids and comets are believed to contain a high degree of porosity and the determination of both their collisional evolution and the outcome of their disruption requires that the effect of porosity is taken into account in the computation of those processes. Here, we present our model and show how porosity interfaces with the elastic-perfectly plastic material description and the brittle fracture model generally used to simulate the fragmentation of non-porous rocky bodies. We investigate various compaction models and discuss their suitability to simulate the compaction of (highly) porous material. Then, we perform simple test cases where we compare results of the simulations to the theoretical solutions. We also present a Deep Impact-like simulation to show the effect of porosity on the outcome of an impact. Detailed validation tests will be presented in a next paper by comparison with high-velocity laboratory experiments on porous materials (Jutzi et al., in preparation). Once validated at small scales, our new impact code can then be used at larger scales to study impacts and collisions involving brittle solids including porosity, such as the parent bodies of C-type asteroid families or cometary materials, both in the strength- and in the gravity-dominated regime.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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