Direct Numerical Simulations of Fluid–Solid Systems Using the Arbitrary Lagrangian–Eulerian Technique

Hu, Hsou Mei; Patankar, Neelesh A.; Zhu, Ming

doi:10.1006/jcph.2000.6592

Cited by 689 publications

(438 citation statements)

References 53 publications

(91 reference statements)

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“…Patankar & Zhu (2001), to study the lift-off of a single particle in Newtonian and Arbitrary-Lagrangian-Eulerian (ALE) numerical method using body-fitted unstructured finite element grids to simulate particulate flows. A closely related numerical method for particulate flows, based on a Chorin (1968) type fractional step scheme, was introduced by Choi (2000).…”

Section: Direct Numerical Simulation (Dns) Of Solid-liquid Flowsmentioning

confidence: 99%

Power law correlations for sediment transport in pressure driven channel flows

Patankar

Joseph

Wang

et al. 2002

International Journal of Multiphase Flow

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113

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Lift forces acting on particles play a central role in many cases, such as sediment transport, proppant transport in fractured reservoirs, removal of drill cuttings in horizontal drill holes and cleaning of particles from surfaces. We study the problem of lift using 2D direct numerical simulations and experimental data. The lift-off of single particles and many particles in horizontal flows follow laws of similarity, power laws, which may be obtained by plotting simulation data on log-log plots. Data from slot experiments for fractured reservoirs is processed (for the first time) on log-log plots. Power laws with a parameter dependent power emerge as in the case of Richardson-Zaki correlations for bed expansion by drag.

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Section: Direct Numerical Simulation (Dns) Of Solid-liquid Flowsmentioning

confidence: 99%

Power law correlations for sediment transport in pressure driven channel flows

Patankar

Joseph

Wang

et al. 2002

International Journal of Multiphase Flow

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113

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“…The flow field around each individual particle is resolved so that the hydrodynamic force acting on the particle is obtained from the fluid solution. Hu, Joseph and coworkers [1,2], Galdi [3] as well as Maury [4] developed a finite element method based on unstructured grids to simulate the motion of a large number of rigid particles in Newtonian and viscoelastic fluids. This approach is based on an Arbitrary Lagrangian-Eulerian (ALE) technique.…”

Section: Introductionmentioning

confidence: 99%

Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows

Wan

Turek

2007

Journal of Computational Physics

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In this paper, we investigate the numerical simulation of rigid particulate flows using a new moving mesh method combined with the multigrid fictitious boundary method (FBM) [9,10]. With this approach, the mesh is dynamically relocated through a special partial differential equation to capture the region near the surface of the moving particles with high accuracy. The complete system is realized by solving the mesh movement and physical partial differential equations alternately. The flow is computed by an ALE formulation with a multigrid finite element solver, and the solid particles are allowed to move freely through the computational mesh which is adaptively aligned by the moving mesh method based on an arbitrary grid. The important aspect is that the data structures of the underlying undeformed mesh, in many cases a tensorproduct mesh, are preserved while only the spacing between the grid points is adapted in each step. Numerical results demonstrate that the interaction between the fluid and the particles can be accurately and efficiently handled by the presented method. It is also shown that the presented method directly improves upon the previous pure multigrid FBM to solve particulate flows with many moving rigid particles.

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“…We do this by solving a Laplace equation in a periodic domain, similar to Hu et al (2001). Firstly, we have to solve the Laplace problem to obtain the position of the periodic domain in the next time step…”

Section: Mesh Movementmentioning

confidence: 99%

Direct numerical simulation of a bubble suspension in small amplitude oscillatory shear flow

2017

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Bubble suspensions can be found in many different fields and studying their rheology is crucial in order to improve manufacturing processes. When bubbles are added to a liquid, the magnitude of the viscosity changes and the behavior of the material is modified, giving it viscoelastic properties. For the purpose of this work, the suspended bubbles are considered to be monodisperse. It is assumed that Brownian motion and inertia can be neglected and that the fluid of the matrix is Newtonian and incompressible. The suspension is subject to an oscillatory strain while remaining in the linear regime. The resulting equations are solved in 3D with direct numerical simulation using a finite element discretization. Results of an ordered and random distribution of bubbles of volume fractions up to 40% are presented. The presence of bubbles has an opposite effect on the rheology of the suspension depending on the applied frequency. When the frequency is low, bubbles act as rigid fillers giving a rise to viscosity. On the contrary, when the frequency is high, the strain rate is being accommodated by the gaseous phase. Hence, bubbles deform, leading to a decrease of the viscosity.

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Direct Numerical Simulations of Fluid–Solid Systems Using the Arbitrary Lagrangian–Eulerian Technique

Cited by 689 publications

References 53 publications

Power law correlations for sediment transport in pressure driven channel flows

Power law correlations for sediment transport in pressure driven channel flows

Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows

Direct numerical simulation of a bubble suspension in small amplitude oscillatory shear flow

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