Smooth Particle Hydrodynamics with nonlinear Moving-Least-Squares WENO reconstruction to model anisotropic dispersion in porous media

Avesani, Diego; Herrera, Paulo; Chiogna, Gabriele; Bellin, Alberto; Dumbser, Michael

doi:10.1016/j.advwatres.2015.03.007

Cited by 23 publications

(31 citation statements)

References 57 publications

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“…Therefore, solving flow in fully resolved fields for multiple realizations of K is necessary in order to minimize the errors associated with both numerical and statistical accuracy [ Moslehi et al ., ]. Solving the transport equation numerically is difficult also for the tendency of widely used numerical schemes to add numerical diffusion [ Boso et al ., ; Avesani et al ., ]. These factors are particularly enhanced by the nonuniformity of the mean flow.…”

Section: Introductionmentioning

confidence: 99%

Radial solute transport in highly heterogeneous aquifers: Modeling and experimental comparison

Dato

Fiori

Barros

et al. 2017

Water Resources Research

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We analyze solute transport in a radially converging 3‐D flow field in a porous medium with spatially heterogeneous hydraulic conductivity (K). The aim of the paper is to analyze the impact of heterogeneity and the mode of injection on BreakThrough Curves (BTCs) detected at a well pumping a contaminated aquifer. The aquifer is conceptualized as an ensemble of blocks of uniform but contrasting K and the analysis makes use of the travel time approach. Despite the approximations introduced, the model reproduces a laboratory experiment without calibration of transport parameters. Our results also show excellent agreement with numerical simulations for different levels of heterogeneity. We focus on the impact on the BTC of both heterogeneity in K and solute release conditions. It is shown that the injection mode matters, and the differences in the BTCs between uniform and flux‐proportional injection increase with the heterogeneity of the K‐field. Furthermore, we study the effect of heterogeneity and mode of injection on early and late arrivals at the well.

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Section: Introductionmentioning

confidence: 99%

Radial solute transport in highly heterogeneous aquifers: Modeling and experimental comparison

Dato

Fiori

Barros

et al. 2017

Water Resources Research

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“…(2014, (2015). This new numerical methods overcomes the limitations of standard SPH, which cannot efficiently (and accurately) handle multiple advective fields like in the case of chemotaxis.…”

Section: Resultsmentioning

confidence: 99%

“…2013; Avesani et al. 2014, 2015). Furthermore, an interpolation scheme should be introduced to compute the concentration of the chemoattractant at bacteria positions, which is an additional source of numerical error.…”

Section: Introductionmentioning

confidence: 99%

An alternative smooth particle hydrodynamics formulation to simulate chemotaxis in porous media

et al. 2016

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Chemotaxis, the microorganisms autonomous motility along or against the concentration gradients of a chemical species, is an important, yet often neglected factor controlling the transport of bacteria through saturated porous media. For example, chemotactic bacteria could enhance bioremediation by directing their own motion to residual contaminants trapped in low hydraulic conductive zones of contaminated aquifers. The aim of the present work is to develop an accurate numerical scheme to model chemotaxis in saturated porous media and other advective dominating flow systems. We propose to model chemotaxis by using a new class of meshless Lagrangian particle methods we recently developed for applications in fluid mechanics. The method is based on the Smooth Particle Hydrodynamics (SPH) formulation of (Ben Moussa et al., Int Ser Numer Math, 13(1):29–62, 2006), combined with a new Weighted Essentially Non-Oscillatory (WENO) reconstruction technique on moving point clouds in multiple space dimensions. The purpose of this new numerical scheme is to fully exploit the advantages of SPH among traditional mesh-based and mesh-free schemes and to overcome drawbacks related to the use of standard SPH for modeling chemotaxis in porous media. First, we test the new scheme against analytical reference solutions. Then, under the assumption of complete mixing at the Darcy scale, we perform two-dimensional conservative solute transport simulations under steady-state flow conditions, to show the capability of the proposed new scheme to model chemotaxis.

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“…Broadly speaking, these authors conclude that, because of spurious numerical dispersion, the grid-based Eulerian schemes overestimate dilution/mixing, while Lagrangian approaches, including both random walk particle tracking (RWPT) and Smoothed Particle Hydrodynamics (SPH) approaches, given a sufficiently resolved and smooth velocity field, are free of numerical dispersion. The authors report that SPH is relatively computationally demanding and does not readily handle anisotropic dispersion [3]. Furthermore, the discrete nature of RWPT can lead to discontinuous concentrations, although a variety of novel algorithms have evolved in recent years to remove such spurious fluctuations [44,78].…”

Section: Introductionmentioning

confidence: 99%

“…In this framework, the chemical reactions occur without an explicit calculation of concentrations, thus removing the need for interpolation onto an Eulerian grid or using SPH kernels for dispersion and reaction calculation [e.g. 97,81,3], which can reintroduce numerical dispersion and other interpolation errors. Instead, the proximity of particles in the flow field dictate the occurrence of reactions.…”

Section: Introductionmentioning

confidence: 99%

A comparison of Eulerian and Lagrangian transport and non-linear reaction algorithms

Benson

Aquino

Bolster

et al. 2017

Advances in Water Resources

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When laboratory-measured chemical reaction rates are used in simulations at the field-scale, the models typically overpredict the apparent reaction rates. The discrepancy is primarily due to poorer mixing of chemically distinct waters at the larger scale. As a result, realistic field-scale predictions require accurate simulation of the degree of mixing between fluids. The Lagrangian particle-tracking (PT) method is a now-standard way to simulate the transport of conservative or sorbing solutes. The method's main advantage is the absence of numerical dispersion (and its artificial mixing) when simulating advection. New algorithms allow particles of different species to interact in nonlinear (e.g., bimolecular) reactions. Therefore, the PT methods hold a promise of more accurate field-scale simulation of reactive transport because they eliminate the masking effects of spurious mixing due to advection errors inherent in grid-based methods. A hypothetical field-scale reaction scenario

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Smooth Particle Hydrodynamics with nonlinear Moving-Least-Squares WENO reconstruction to model anisotropic dispersion in porous media

Cited by 23 publications

References 57 publications

Radial solute transport in highly heterogeneous aquifers: Modeling and experimental comparison

Radial solute transport in highly heterogeneous aquifers: Modeling and experimental comparison

An alternative smooth particle hydrodynamics formulation to simulate chemotaxis in porous media

A comparison of Eulerian and Lagrangian transport and non-linear reaction algorithms

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