A smoothed particle hydrodynamics model for miscible flow in three-dimensional fractures and the two-dimensional Rayleigh–Taylor instability

Tartakovsky, Alexandre M.; Meakin, Paul

doi:10.1016/j.jcp.2005.02.001

Cited by 157 publications

(106 citation statements)

References 22 publications

(43 reference statements)

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“…In general, the density and viscosity of the fluid depend on the concentration of the solute, and the relationships between the mass of solution carried by a particle and solute concentration and between the viscosity and concentration are needed to solve equations (9), (10) and (11). Examples of these relationships for processes such as the density difference driven Rayleigh-Taylor instability with miscible fluids are given by Tartakovsky and Meakin [2005c]. In the ð5Þ W05437 TARTAKOVSKY ET AL.…”

Section: Sph Transport Equationsmentioning

confidence: 99%

A smoothed particle hydrodynamics model for reactive transport and mineral precipitation in porous and fractured porous media

Tartakovsky

Meakin

Scheibe

et al. 2007

Water Resources Research

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115

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[1] A numerical model based on smoothed particle hydrodynamics (SPH) was used to simulate reactive transport and mineral precipitation in porous and fractured porous media. The stability and numerical accuracy of the SPH-based model was verified by comparing its results with analytical results and finite element numerical solutions. The numerical stability of the model was also verified by performing simulations with different time steps and different number of particles (different resolutions). The model was used to study the effects of the Damkohler and Peclet numbers and pore-scale heterogeneity on reactive transport and the character of mineral precipitation and to estimate effective reaction coefficients and mass transfer coefficients. Depending on the combination of Damkohler and Peclet numbers the precipitation may be uniform throughout the porous domain or concentrated mainly at the boundaries where the solute is injected and along preferential flow paths. The effective reaction rate coefficient and mass transfer coefficient exhibited hysteretic behavior during the precipitation process as a result of changing pore geometry and solute distribution. The changes in porosity and fluid fluxes resulting from mineral precipitation were also investigated. It was found that the reduction in the fluid flux increases with increasing Damkohler number for any particular reduction in the porosity. The simulation results show that the SPH, Lagrangian particle method is an effective tool for studying pore-scale flow and transport. The particle nature of SPH models allows complex physical processes such as diffusion, reaction, and mineral precipitation to be modeled with relative ease.

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Section: Sph Transport Equationsmentioning

confidence: 99%

A smoothed particle hydrodynamics model for reactive transport and mineral precipitation in porous and fractured porous media

Tartakovsky

Meakin

Scheibe

et al. 2007

Water Resources Research

Self Cite

140

115

View full text Add to dashboard Cite

show abstract

“…The SPH method was originally invented to solve astrophysical problems in the open space such as binary stars, stellar collisions and motion near black holes. Later, it has been extensively studied and extended to different problems in engineering and sciences, such as multi-phase [22,23] and multi-scale [24] flows, high strain hydrodynamics with material strength [25][26][27][28], explosion and underwater explosion [29][30][31], and many others [32][33][34]. As a comparatively new computational method, SPH combines the advantages of meshfree, Lagrangian and particle methods.…”

Section: Introductionmentioning

confidence: 99%

An improved SPH method for modeling liquid sloshing dynamics

Shao

Liu

et al. 2012

Computers & Structures

213

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“…These numerical simulations suggest that the collisions that lead to rebound between the drops are governed by macroscopic dynamics. In these simulations the mechanism of formation of satellite drops was also studied, Tartakovsky & Meakin (2005) have shown that the artificial surface tension that emerge from the standard formulation of the Smoothed Particle Hydrodynamics (SPH) method (Gingold & Monaghan, 1977) could be eliminated by using SPH equations based on the number density of particles instead of the density of particles in the fluid. The contribution of Tartakovsky & Meakin (2005) could be very useful when modeling the hydrodynamic interaction of drops in liquid emulsions.…”

Section: Introductionmentioning

confidence: 99%