关于数值模拟与爆沙的相关性
On the relevance of numerical simulations to booming sand
摘要：
本文对三维无粘性颗粒沿斜槽流动进行了模拟研究。我们发现在[L.E. Silbert，Phys. Rev. Lett.，94，098002（2005）]的最低简正模式的谐波振动。它们的频率取决于接触刚度以及流动的深度。这些振荡能解释“沙爆”现象吗？我们根据赫兹定律估计有效接触刚度，但这导致频率比观察到的高几倍。然而，赫兹定律也预测了几纳米的互穿，表明振荡频率由表面刚度决定，表面刚度可以比本体刚度低得多。这与以前的研究一致，认为唱歌的能力是由于谷物表面存在软涂层。
英文摘要：
We have performed a simulation study of 3D cohesionless granular flows down an inclined chute. We find that the oscillations observed in [L.E. Silbert, Phys. Rev. Lett., 94, 098002 (2005)] near the angle of repose are harmonic vibrations of the lowest normal mode. Their frequencies depend on the contact stiffness as well as on the depth of the flow. Could these oscillations account for the phenomena of "booming sand"? We estimate an effective contact stiffness from the Hertz law, but this leads to frequencies several times higher than observed. However, the Hertz law also predicts interpenetrations of a few nanometers, indicating that the oscillations frequencies are governed by the surface stiffness, which can be much lower than the bulk one. This is in agreement with previous studies ascribing the ability to sing to the presence of a soft coating on the grain surface.
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