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Accuracy of numerical simulations of contaminant transport in heterogeneous aquifers: A comparative study

6 years ago

AbstractThis work deals with a comparison of different numerical schemes for the simulation of contaminant transport in heterogeneous porous media.…

A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity

6 years ago

AbstractWe investigate a prototypical reaction–diffusion-flow problem in saturated/unsaturated porous media. The special features of our problem are twofold: the reaction produces…

A coupled finite element–global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity

6 years ago

AbstractSolute transport through heterogeneous porous media considered in environmental and industrial problems is often characterized by high Péclet numbers. In…

Solute transport in aquifers with evolving scale heterogeneity

6 years ago

AbstractTransport processes in groundwater systems with spatially heterogeneous properties often exhibit anomalous behavior. Using first-order approximations in velocity fluctuations we…

Consistency issues in PDF methods

6 years ago

AbstractConcentrations of chemical species transported in random environments need to be statistically characterized by probability density functions (PDF). Solutions to evolution equations…

A Fokker-Planck approach for probability distributions of species concentrations transported in heterogeneous media

6 years ago

AbstractWe identify sufficient conditions under which evolution equations for probability density functions (PDF) of random concentrations are equivalent to Fokker–Planck…

On a compound approximation operator of D.D. Stancu type

6 years ago

AbstractIn this note we consider a linear and positive compound approximation operator of D.D. Stancu type depending of several parameters.…

Rate of approximation for certain Durrmeyer operators

6 years ago

AbstractIn the present note, we study a certain Durrmeyer type integral modification of Bernstein polynomials. We investigate simultaneous approximation and…

Order 1 autoregressive process of finite length

6 years ago

AbstractThe stochastic processes of finite length defined by recurrence relations request additional relations specifying the first terms of the process analogously to…

Towards a filtered density function approach for reactive transport in groundwater

6 years ago

AbstractEvolution equations for probability density functions (PDFs) and filtered density functions (FDFs) of random species concentrations weighted by conserved scalars…

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