A Depth‐Averaged Description of Submarine Avalanche Flows and Induced Surface Waves
A Depth‐Averaged Description of Submarine Avalanche Flows and Induced Surface Waves
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DOI：
10.1029/2022jf006893
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发表时间：
2023-04
期刊：
影响因子：
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通讯作者：
W. Sun;X. Meng;Y. Wang;S. Hsiau;Z. You
中科院分区：
文献类型：
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作者：
W. Sun;X. Meng;Y. Wang;S. Hsiau;Z. You
本文发展了一种深度平均理论来研究海底滑坡和由此产生的水波。这里的问题包括纯流体状态和颗粒与流体的混合状态。两种状态通过界面彼此分离，该界面是颗粒的材料表面。虽然假定混合状态下两相的下坡速度相同，但速度剪切会导致颗粒重新排列，从而引起两相之间的垂直相对运动。所建立的理论由五个耦合守恒方程组成，描述了纯流体厚度、混合物厚度、固体体积分数和深度平均速度的演变。为了处理方程中出现的非保守产物，引入新的坐标系以等效形式重写方程组，使得数值解对非保守产物离散化的选择不敏感，这使得我们能够准确地表征水下颗粒塌陷实验中颗粒的动态行为并描述自由表面波廓线。结果表明，计算结果与以往文献报道的实验结果吻合较好。
This paper develops a depth‐averaged theory to investigate submarine landslides and resulting water waves. The problems here consist of a pure fluid regime and a mixture regime of grains and fluid. Both regimes separate from one another by an interface, which is a material surface for grains. While the downslope velocities of the both phases are assumed to be identical in the mixture regime, the velocity shear causes a rearrangement of grains, which induces a vertical relative motion between the phases. The established theory consists of five coupled conservation equations, which describe the evolution of the pure fluid thickness, the mixture thickness, the solids volume fraction, and depth‐averaged velocities. To handle nonconservative products emerging in the equations, a new coordinate system is introduced to rewrite the equation system in an equivalent form, so that numerical solutions are insensitive to the choice of discretization of nonconservative products, which enables us to accurately characterize the dynamic behaviors of particles in the collapse experiments of underwater particles and describe free‐surface wave profiles. It is shown that the computed results are in good agreement with the experiments reported in previous literatures.