Iterative schemes for surfactant transport in porous media

Illiano, Davide; Pop, Sorin; Radu, F.

doi:10.1007/s10596-020-09949-2

Cited by 43 publications

(36 citation statements)

References 48 publications

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“…Our observations are consistent with a recent numerical analysis of the iterative schemes for the coupling between surfactant transport and variably saturated flow (Illiano et al 2020). Note that AWI adsorption and solid-phase adsorption were not accounted for in the model formulation of Illiano et al (2020).…”

Section: Discussionsupporting

confidence: 90%

“…The nonlinear iteration loops for the FI method were shown to converge faster than that of the SI method for the simulations conducted in the present work, though the single linear Jacobian matrix in the FI scheme requires a preconditioner for improved convergence (if iterative linear solvers are used) and accuracy properties (Benzi, 2002). Our observations are consistent with a recent numerical analysis of the iterative schemes for the coupling between surfactant transport and variably saturated flow (Illiano et al 2020). Note that AWI adsorption and solid-phase adsorption were not accounted for in the model formulation of Illiano et al (2020).…”

Section: Discussionsupporting

confidence: 89%

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Multidimensional simulation of PFAS transport and leaching in the vadose zone: impact of surfactant-induced flow and soil heterogeneities

Zeng¹,

Guo²

2021

Preprint

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PFAS are emergent contaminants of which fate and transport in the environment remain poorly understood. As surfactants, adsorption at air-water interfaces and solid surfaces in soils complicates the retention and leaching of PFAS in the vadose zone. Recent modeling studies accounting for the PFAS-specific nonlinear adsorption processes predicted that the majority of long-chain PFAS remain in the shallow vadose zone decades after contamination ceases—in agreement with many field measurements. However, some field investigations show that long-chain PFAS have migrated to tens to a hundred meters below ground surface. These discrepancies may be attributed to model simplifications such as a one-dimensional (1D) representation of the homogeneous vadose zone. Another potentially critical process that has not been fully examined by the 1D models is how surfactant-induced flow (SIF) influences PFAS leaching in multidimensions. We develop a new three-dimensional model for PFAS transport in the subsurface to investigate the multidimensional effects of SIF and soil heterogeneities. Our simulations and analyses conclude that 1) SIF has a minimal impact on the long-term leaching of PFAS in the vadose zone, 2) preferential flow pathways generated by soil heterogeneities lead to early arrival and accelerated leaching of (especially long-chain) PFAS, 3) the acceleration of PFAS leaching in high water-content preferential pathways or perched water above capillary barriers is more prominent than conventional contaminants due to the destruction of air-water interfaces, and 4) soil heterogeneities are among primary sources of uncertainty for predicting PFAS leaching and retention in the vadose zone.

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Section: Discussionsupporting

confidence: 90%

Section: Discussionsupporting

confidence: 89%

Multidimensional simulation of PFAS transport and leaching in the vadose zone: impact of surfactant-induced flow and soil heterogeneities

Zeng¹,

Guo²

2021

Preprint

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“…As observed in (31), the term e has not vanished and, consequently, the convergence of ( 5) and ( 6) is linear.…”

Section: Elimination Of the Mtrix System In (3)mentioning

confidence: 74%

On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases

2021

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Recently, the high-order Newton-like methods have gained popularity for solving power flow problems due to their simplicity, versatility and, in some cases, efficiency. In this context, recent research studied the applicability of the 4th order Jarrat’s method as applied to power flow calculation (PFC). Despite the 4th order of convergence of this technique, it is not competitive with the conventional solvers due to its very high computational cost. This paper addresses this issue by proposing two efficient modifications of the 4th order Jarrat’s method, which present the fourth and sixth order of convergence. In addition, continuous versions of the new proposals and the 4th order Jarrat’s method extend their applicability to ill-conditioned cases. Extensive results in multiple realistic power networks serve to sow the performance of the developed solvers. Results obtained in both well and ill-conditioned cases are promising.

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“…As PI has poor convergence and is time-consuming, increasing attention has focused on improving its convergence rate (Durbin et al, 2007;Lott et al, 2012;List and Radu, 2016;Illiano et al, 2020). Introducing a relaxation process can improve the convergence rate of PI (Paniconi and Putti, 1994), but determining the optimal relaxation factor is difficult.…”

Section: Introductionmentioning

confidence: 99%

Modelling Unsaturated Flow in Porous Media Using an Improved Picard Iteration Scheme

Zhu

2021

Preprint

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The numerical solution of various systems of linear equations describing fluid infiltration uses the Picard iteration (PI). However, because many such systems are ill-conditioned, the solution process often has a poor convergence rate, making it very time-consuming. In this study, a control volume method based on non-uniform nodes is used to discretize the Richards equation, and adaptive relaxation is combined with a multistep preconditioner to improve the convergence rate of PI. The resulting adaptive relaxed PI with multistep preconditioner (MP(m)-ARPI) is used to simulate unsaturated flow in porous media. Three examples are used to verify the proposed schemes. The results show that MP(m)-ARPI can effectively reduce the condition number of the coefficient matrix for the system of linear equations. Compared with conventional PI, MP(m)-ARPI achieves faster convergence, higher computational efficiency, and enhanced robustness. These results demonstrate that improved scheme is an excellent prospect for simulating unsaturated flow in porous media.

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Iterative schemes for surfactant transport in porous media

Cited by 43 publications

References 48 publications

Multidimensional simulation of PFAS transport and leaching in the vadose zone: impact of surfactant-induced flow and soil heterogeneities

Multidimensional simulation of PFAS transport and leaching in the vadose zone: impact of surfactant-induced flow and soil heterogeneities

On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases

Modelling Unsaturated Flow in Porous Media Using an Improved Picard Iteration Scheme

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