Two-way coupling of Eulerian–Lagrangian model for dispersed multiphase flows using filtering functions

Kitagawa, Atsuhide; Murai, Yuichi; Yamamoto, Fujio

doi:10.1016/s0301-9322(01)00040-4

Cited by 59 publications

(24 citation statements)

References 29 publications

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“…The focus of the current research is on the following three aspects: (1) Determination of the volume fractions φ and c φ and their temporal and spatial derivatives on the Eulerian grid based on the size and locations p x of individual particles; (2) relating the (Lagrangian) hydrodynamic forces h F (Eq. 5) acting on a particle to the (Eulerian) body force functions [16,17] which are discussed in more detail below.…”

Section: Modelling Assumptions and Proceduresmentioning

confidence: 99%

Assessing Eulerian–Lagrangian simulations of dense solid-liquid suspensions settling under gravity

Derksen

2018

Computers & Fluids

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We study dense solid-liquid suspensions through numerical simulations. The liquid flow is solved by the lattice-Boltzmann method on a fixed (Eulerian), cubic, uniform grid. Spherical solid particles are tracked through that grid. Our main interest is in cases where the grid spacing and the particle diameter have the same order of magnitude (Critical issues then are the mapping operations that relate properties on the grid and properties of the particles, e.g. the local solids volume fraction seen by a particle, or the distribution of solid-to-liquid hydrodynamic forces over grid points adjacent to a particle.For assessing the mapping operations we compare results for particles settling under gravity in fully periodic, three-dimensional domains of simulations with ( )

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Section: Modelling Assumptions and Proceduresmentioning

confidence: 99%

Assessing Eulerian–Lagrangian simulations of dense solid-liquid suspensions settling under gravity

Derksen

2018

Computers & Fluids

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“…The interpolation function should be smooth and conserve the transferred variable [38]. In an orthogonal structured computational grid, linear or bilinear interpolation technique can be applied, depending on the level of accuracy needed.…”

Section: Interpolation Operator For Lagrangian-eulerian Mappingmentioning

confidence: 99%

A numerical scheme for Euler–Lagrange simulation of bubbly flows in complex systems

Shams

Finn

Apte

2010

Numerical Methods in Fluids

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SUMMARYAn Eulerian-Lagrangian approach is developed for the simulation of turbulent bubbly flows in complex systems. The liquid phase is treated as a continuum and the Navier-Stokes equations are solved in an unstructured grid, finite volume framework for turbulent flows. The dynamics of the disperse phase is modeled in a Lagrangian frame and includes models for the motion of each individual bubble, bubble size variations due to the local pressure changes, and interactions among the bubbles and with boundaries. The bubble growth/collapse is modeled by the Rayleigh-Plesset (RP) equation. Three modeling approaches are considered: (a) one-way coupling, where the influence of the bubble on the fluid flow is neglected, (b) two-way coupling, where the momentum-exchange between the fluid and the bubbles is modeled, and (c) volumetric coupling, where the volumetric displacement of the fluid by the bubble motion and the momentum-exchange are modeled. A novel adaptive time-stepping scheme based on stability-analysis of the non-linear bubble dynamics equations is developed. The numerical approach is verified for various single bubble test cases to show second-order accuracy. Interactions of multiple bubbles with vortical flows are simulated to study the effectiveness of the volumetric coupling approach in predicting the flow features observed experimentally. Finally, the numerical approach is used to perform a large-eddy simulation in two configurations: (i) flow over a cavity to predict small-scale cavitation and inception and (ii) a rising dense bubble plume in a stationary water column. The results show good predictive capability of the numerical algorithm in capturing complex flow features.

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“…The former approach adopts a continuum description for the liquid phase and tracks discrete phases using Lagrangian particle trajectory analysis (Zhang and Ahmadi 2005). It hypothesizes that the discrete phases rate is very low (Kitagawa et al 2001); therefore, the hypothesis is not suited to the soil flow issue because of the high rate of discrete phases. The EulerianEulerian approach treats both phases, including the particulates, as interpenetrating continua; each phase is described in an Eulerian coordinate system (Cao and Ahmadi 2000;Buwa et al 2006).…”

Section: Eulerian Model Of Air-soil Two-phase Flowmentioning

confidence: 99%

Numerical simulation of air–soil two-phase flow based on turbulence modeling

et al. 2010

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Soil flow and induced air blasts are of great harm to humanity, and historically they have caused a lot of damage to infrastructure. However, these phenomena cannot be described by traditional analog modeling methods that limit their use in disaster prevention efforts. Computational fluid dynamics (CFD) is an applied technique commonly used in a range of fields including the chemical industry, and aircraft and automobile manufacturing, but little is reported on the use of this method to simulate flowing soil in geotechnical engineering applications. The CFD method can effectively make up for the deficiency of normal calculation methods in the analysis of soil flow and air blasts. This paper uses the FLUENT (version 6.3) CFD calculation software to simulate the processes of soil flow and induced air blast changes during soil flow with an Eulerian air-soil two-phase model included in a standard k-e turbulence model. Velocity vectors of air blasts at different times during soil flow are obtained, and the characteristics of turbulent flow can be found based on the velocity vectors. The numerical simulation techniques adopted in this paper captured precise configurations of soil flow. The results show that the CFD method is especially suitable for simulating the process of soil flow; hazard assessments can be implemented, and the performance of structures involved with disaster prevention can be improved based on the numerical simulation of changing air blasts.

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Two-way coupling of Eulerian–Lagrangian model for dispersed multiphase flows using filtering functions

Cited by 59 publications

References 29 publications

Assessing Eulerian–Lagrangian simulations of dense solid-liquid suspensions settling under gravity

Assessing Eulerian–Lagrangian simulations of dense solid-liquid suspensions settling under gravity

A numerical scheme for Euler–Lagrange simulation of bubbly flows in complex systems

Numerical simulation of air–soil two-phase flow based on turbulence modeling

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