颗粒式水破裂的数值模拟:离散元素,纳维埃-斯托克斯和薄层模型之间的比较
Hugo A Martin1,2, Marc Peruzzetto1,3, Sylvain Viroulet1,4
1Université Paris Cité, Institut de physique du globe de Paris, CNRS, F-75005 Paris, France.
Physical review. E
|December 20, 2023
概括
通过比较颗粒式流量模型,可以发现动态的显著差异,尽管在表面演变和底部应力方面存在一些一致性. 这凸显了评估模型局限性的必要性,以准确地质物理和工业流动模拟.
科学领域:
- 地质物理学 地质物理学
- 流体动力学 流体动力学
- 计算科学 计算科学
背景情况:
- 颗粒流在自然和工业环境中普遍存在.
- 基于物理的模型 (离散,纳维埃-斯托克斯,薄层) 存在,但它们的比较连贯性尚未研究.
- 了解模型差异对于准确的颗粒式流量模拟至关重要.
研究的目的:
- 为了比较离散 (COCD),Navier-Stokes (Basilisk) 和薄层 (SHALTOP) 模拟颗粒式水断层的模拟.
- 评估相互连贯性,并确定不同建模方法之间的差异.
- 评估模型尺度对模拟颗粒流动力学的影响.
主要方法:
- 在水平和倾斜的平面上模拟颗粒大破裂场景.
- 采用了三种不同的建模方法:凸起式优化联系动力学 (COCD),巴西利斯克和SHALTOP.
- 分析了自由表面演变,流动动力学和底部应力.
主要成果:
- 所有模型都在水平情况下重现了自由的表面演变 (最初除了SHALTOP).
- 观察到模拟流动动态的显著差异,特别是在停止阶段.
- 底部应力测量显示出很好的一致性,尽管COCD由于复杂的颗粒状格子而表现出差异.
结论:
- 不同尺度的颗粒式流量模型产生显著不同的动态结果.
- 尽管有一些协议,但必须考虑模型特定的行为和限制.
- 这种比较分析对于理解颗粒式流量建模中的不确定性至关重要.
更多相关视频
11:03An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
8.6K
11:51Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
8.7K
相关概念视频
Typical Model Studies
360
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
360
Design Example: Creating a Hydraulic Model of a Dam Spillway
186
Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
186
Modeling and Similitude
268
Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
268
Navier–Stokes Equations
517
For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
517
Steady, Laminar Flow Between Parallel Plates
199
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
199
Rapidly Varying Flow
64
Rapidly varying flow (RVF) in open channels is characterized by abrupt changes in flow depth over a short distance, with the rate of depth change relative to distance often approaching unity. These flows are inherently complex due to their transient and multi-dimensional nature, making exact analysis difficult. However, approximate solutions using simplified models provide valuable insights into their behavior.Key Features of Rapidly Varying FlowRVF is commonly observed in scenarios involving...
64
