Derivation of one-dimensional hydrodynamic model for stock price evolution
AbstractIt was proved that balance equations for systems with corpuscular structure can be derived if a kinematic description by piece-wise…
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Global random walk model of diffusion in random velocity fields
Abstract ? AuthorsN. Suciu C. Vamoş H. Vereecken J. Vanderborght H. Hardelauf Keywords? Cite this paper asN. Suciu, C. Vamoş,…
Generalized random walk algorithm for the numerical modeling of complex diffusion processes
AbstractA generalized form of the random walk algorithm to simulate diffusion processes is introduced. Unlike the usual approach, at a…
Numerical Modeling of Large Scale Transport of Contaminant Solutes Using the Global Random Walk Algorithm
AbstractThe methods which track particles to simulate concentrations are successfully used in problems for large scale transport in groundwater, mainly…
Numerical investigations on ergodicity of solute transport in heterogeneous aquifers
AbstractDarcy velocities for lognormal hydraulic conductivity with small variance and finite correlation length were approximated by periodic random fields. Accurate…
Evaluation of the first‐order approximations for transport in heterogeneous media
AbstractLongitudinal dispersion coefficients in given realizations of the transport computed by two currently used approximations of the first‐order in velocity…
Global random walk modeling of transport in complex systems
AbstractThe Global random walk algorithm performs simultaneously the tracking of large collections of particles and permits massive simulations at reasonable…
On the self-averaging of dispersion for transport in quasi-periodic random media
AbstractIn this study we present a numerical analysis for the self-averaging of the longitudinal dispersion coefficient for transport in heterogeneous…
Comment on “Nonstationary flow and nonergodic transport in random porous media” by G. Darvini and P. Salandin
Abstract AuthorsN. Suciu Institute of Applied Mathematics, Friedrich-Alexander University of Erlangen-Nuremberg, Erlangen, Germany C. Vamos T. Popoviciu Institute of…
Memory effects and ergodicity for diffusion in spatially correlated velocity fields
AbstractWe show that the process of diffusion in statistically homogeneous velocity fields with finite correlation range “remembers” the shape and…