Some exact solutions for debris and avalanche flows
Some exact solutions for debris and avalanche flows
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DOI：
10.1063/1.3570532
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发表时间：
2011-04
影响因子：
4.6
通讯作者：
S. Pudasaini
中科院分区：
文献类型：
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作者：
S. Pudasaini
非线性碎片雪崩模型方程简化情况的精确解析解对于校准倾斜表面上的流动深度和速度剖面的数值模拟是必要的。这些针对特定问题的解决方案提供了对系统完整行为的重要洞察。在本文中，我们提出了一些新的泥石流和雪崩流分析解决方案，然后将这些解决方案与实验数据进行比较，以衡量其性能并确定其相关性。首先，通过将质量和动量平衡方程与巴尼尔德流变学相结合，构造了一个新的特殊的运动学波动方程，其中通量和波速是压力梯度和流动深度本身的复杂非线性函数。新模型可以解释波浪平流和扭曲的机制，以及在许多自然和实验室碎片和颗粒流中观察到的准渐近前孔。泥石流前沿和相关速度的精确瞬态解...
Exact analytical solutions to simplified cases of nonlinear debris avalanche model equations are necessary to calibrate numerical simulations of flow depth and velocity profiles on inclined surfaces. These problem-specific solutions provide important insight into the full behavior of the system. In this paper, we present some new analytical solutions for debris and avalanche flows and then compare these solutions with experimental data to measure their performance and determine their relevance. First, by combining the mass and momentum balance equations with a Bagnold rheology, a new and special kinematic wave equation is constructed in which the flux and the wave celerity are complex nonlinear functions of the pressure gradient and the flow depth itself. The new model can explain the mechanisms of wave advection and distortion, and the quasiasymptotic front bore observed in many natural and laboratory debris and granular flows. Exact time-dependent solutions for debris flow fronts and associated velocity...