Modeling of fluid–solid interaction in granular media with coupled lattice Boltzmann/discrete element methods: application to piping erosion

Lominé, Franck; Scholtès, Luc; Sibille, Luc; Poullain, Philippe

doi:10.1002/nag.1109

Cited by 111 publications

(83 citation statements)

References 42 publications

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“…In the 1990s, the LBM was first applied to simulate the fluid‐particle coupling problems . In their method, the modified bounce‐back rule was used to achieve the no‐slip condition at the fluid‐particle interface. The particle is divided into a large number of solid nodes by fluid grids.…”

Section: Computational Methodologymentioning

confidence: 99%

A coupled 3‐dimensional bonded discrete element and lattice Boltzmann method for fluid‐solid coupling in cohesive geomaterials

Wang

Feng

Pande

et al. 2018

Num Anal Meth Geomechanics

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Summary This paper presents a 3D bonded discrete element and lattice Boltzmann method for resolving the fluid‐solid interaction involving complicated fluid‐particle coupling in geomaterials. In the coupled technique, the solid material is treated as an assembly of bonded and/or granular particles. A bond model accounting for strain softening in normal contact is incorporated into the discrete element method to simulate the mechanical behaviour of geomaterials, whilst the fluid flow is solved by the lattice Boltzmann method based on kinetic theory and statistical mechanics. To provide a bridge between theory and application, a 3D algorithm of immersed moving boundary scheme was proposed for resolving fluid‐particle interaction. To demonstrate the applicability and accuracy of this coupled method, a benchmark called quicksand, in which particles become fluidised under the driving of upward fluid flow, is first carried out. The critical hydraulic gradient obtained from the numerical results matches the theoretical value. Then, numerical investigation of the performance of granular filters generated according to the well‐acknowledged design criteria is given. It is found that the proposed 3D technique is promising, and the instantaneous migration of the protected soils can be readily observed. Numerical results prove that the filters which comply with the design criteria can effectively alleviate or eliminate the appearance of particle erosion in dams.

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Section: Computational Methodologymentioning

confidence: 99%

A coupled 3‐dimensional bonded discrete element and lattice Boltzmann method for fluid‐solid coupling in cohesive geomaterials

Wang

Feng

Pande

et al. 2018

Num Anal Meth Geomechanics

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“…This equation describes the eroded mass rate as a function of the erosion coefficient

c_{e}

, the fluid shear stress

τ_{h}

, and its critical value

τ_{c}

. To estimate the critical shear stress, common practice is to deduce the pipe evolution from the initial and final diameters, and subsequently the erosion rate is evaluated from the rate of growth of the pipe diameter (Lominé, Scholtes, Sibille, & Poullain, ) as

τ_{h} = false(d_{p} i false) / false(2 l_{p} false)

. As the pipe widens, the shear stress tends to increase, as described in the previous equation.…”

Section: Physics‐based “Local” Scale Modeling Of Bepmentioning

confidence: 99%

Multiscale modeling of backward erosion piping in flood protection system infrastructure

Fascetti

Oskay

2019

Computer aided Civil Eng

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This article presents a novel multiscale modeling approach to simulate the evolution of the backward erosion piping (BEP) process in flood protection systems (FPSs). A multiphase description of the BEP phenomenon is proposed for the numerical solution at the local scale and validated by means of full‐scale experimental results available in the literature. Results of the local scale simulations are used as the training set for a multilayer machine learning (ML) model to bridge the information between the local and system scales. Accuracy of the trained ML algorithms is demonstrated by comparing results obtained from detailed physics‐based numerical models. The novelty of the proposed methodology lies in its capability of real‐time predictions of the overall response at the system scale. A case study is presented where a portion of the Nashville Metro Levee System is analyzed over the span of a year, to assess the likelihood of BEP in the infrastructure. The capability of the model to accept water height data obtained from field measurements is exploited in the numerical simulations.

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“…Following the discussion developed in the previous section, the erosion rate

\overset{m}{true}

(mass of eroded particle per unit of time) is first plotted in terms of power dissipated by viscosity at fluid boundary nodes (FB nodes). As explained in Lominé et al (), FB nodes are the computational nodes of the fluid domain constituting its boundary on the fluid/solid interface. Hence, the power dissipated by viscosity at FB nodes,

P_{V}^{F B}

, represents the power dissipation occurring most closely with the solid particles.…”

Section: Flow Power‐driven Erosionmentioning

confidence: 99%

Internal erosion in granular media: direct numerical simulations and energy interpretation

Sibille

Lominé

Poullain

et al. 2014

Hydrological Processes

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Internal erosion in soils is characterized by a first step of detachment of solid particles from the granular skeleton under the action of a water seepage; then the detached particles are transported with the water flow. For some erosion processes, as suffusion, transported particles may finally be redeposited within the interstitial space of the soil itself acting as a filter. This paper focuses on the analysis and the description of the two first steps of particle detachment and transport in the cases of erosion by suffusion and piping erosion. The analysis is mainly based on direct numerical simulations performed with a fully coupled discrete element-lattice Boltzmann method (DE-LB method). Inter-particle interactions occurring in the solid granular phase are described with the discrete element method, whereas dynamics of the water flow is solved with the lattice Boltzmann method. Simulation results show that internal erosion of the solid phase can be described either from the hydraulic shear stress or from the power expended by the water seepage.The latter description based on the flow power is finally compared with experimental results from laboratory tests.

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Modeling of fluid–solid interaction in granular media with coupled lattice Boltzmann/discrete element methods: application to piping erosion

Cited by 111 publications

References 42 publications

A coupled 3‐dimensional bonded discrete element and lattice Boltzmann method for fluid‐solid coupling in cohesive geomaterials

A coupled 3‐dimensional bonded discrete element and lattice Boltzmann method for fluid‐solid coupling in cohesive geomaterials

Multiscale modeling of backward erosion piping in flood protection system infrastructure

Internal erosion in granular media: direct numerical simulations and energy interpretation

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