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Solute transport prediction in heterogeneous porous media using random walks and machine learning
Solute transport processes in heterogeneous porous media have been traditionally studied through the parameterization of macroscale properties using...
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Second-Order Accurate Structure-Preserving Scheme for Solute Transport on Polygonal Meshes
We analyze mimetic properties of a conservative finite-volume (FV) scheme on polygonal meshes used for modeling solute transport on a surface with...
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The effects of heterogeneity on solute transport in porous media: anomalous dispersion
Mixing of solute in sub-surface flows, for example in the leakage of contaminants into groundwater, is quantified by a dispersion coefficient that...
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Chebyshev spectral method for the variable-order fractional mobile–immobile advection–dispersion equation arising from solute transport in heterogeneous media
This study focuses on the numerical solution of the space–time variable-order fractional derivative mobile–immobile advection–dispersion equation....
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Peristalsis and Taylor Dispersion of Solute in the Flow of Casson Fluid
In this study, we present the peristaltic flow and transport of solute in a non-Newtonian solvent through a flexible tube. Taylor dispersion and the...
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Combining noisy well data and expert knowledge in a Bayesian calibration of a flow model under uncertainties: an application to solute transport in the Ticino basin
Groundwater flow modeling is commonly used to calculate groundwater heads, estimate groundwater flow paths and travel times, and provide insights...
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A Discontinuous Galerkin Method for Blood Flow and Solute Transport in One-Dimensional Vessel Networks
This paper formulates an efficient numerical method for solving the convection diffusion solute transport equations coupled to blood flow equations...
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Flow and Transport Properties of Porous Materials
As Chaps. 4 – 6 should have made it clear, one of the most...
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Effect of External Body Acceleration on Solute Dispersion in Unsteady Non-Newtonian Fluid Flow-the Generalized Dispersion Model Approach
With a motivation to better understand several transport phenomena in the human body, an attempt was made to theoretically consider the solute...
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A numerical method for solving variable-order solute transport models
In this work, a radial basis function (RBF)-based numerical scheme is developed which uses the Coimbra variable time fractional derivative of order
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A structure-preserving algorithm for surface water flows with transport processes
We consider a system of coupled equations modeling a shallow water flow with solute transport and introduce an artificial dissipation in order to...
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Simulation of 3D flow and solute transport in fractured rock at Äspö, Sweden
The code d 3 f++ developed under the leadership of GRS for simulating 3D flow and solute transport includes an advanced formulation for fracture flow...
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Emergence of non-Fickian transport in truncated pluri-Gaussian permeability fields
We present a numerical simulation study of advective–diffusive scalar transport in three-dimensional high-contrast discontinuous permeability fields,...
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Special Topic: Multiphase Homogenization for Transport in Periodic Media
There have been numerous studies, especially in the hydrology literature, mostly empirical, showing that the diffusivity of a solute concentration...
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Visualizing Fluid Flows via Regularized Optimal Mass Transport with Applications to Neuroscience
The regularized optimal mass transport (rOMT) problem adds a diffusion term to the continuity equation in the original dynamic formulation of the...
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Impact of Variable Viscosity, Chemical Reaction and Electro-Osmotic Mechanism on the Dispersal of solute through a Uniform Channel with Permeable walls
This study addresses the dispersion nature of a solute in the Jeffrey fluid flow along with the combination of electric field, variable viscosity and...
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An immersed boundary method for mass transport applications in multiphase systems with discontinuous species concentration fields
We present a numerical approach to address mass transport problems in multiphase systems, where a diffusing species concentration may exhibit...
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Coupled and Decoupled Stabilized Finite Element Methods for the Stokes–Darcy-Transport Problem
In this paper, we propose and analyze two stabilized finite element schemes for the Stokes–Darcy-transport model. The first stabilized method is a...
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Flow in temporally and spatially varying porous media: a model for transport of interstitial fluid in the brain
Flow in a porous medium can be driven by the deformations of the boundaries of the porous domain. Such boundary deformations locally change the...
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Surface-subsurface filtration transport with seawater intrusion: multidomain mixed variational evolution problems
Surface-subsurface filtration transport with seawater intrusion phenomena are formulated and variationally analyzed, as coupled multimedia mixed...
