Diffusion in random velocity fields with applications to contaminant transport in groundwater
AbstractThe process of diffusion in a random velocity field is the mathematical object underlying currently used stochastic models of transport in…
Numerical Modeling
Turbulence scenarios in determinist chaos
Abstract AuthorsA. Georgescu C. Vamoş N. SuciuA. Georgescu C. Vamoş Institutul de Calcul N. Suciu Institutul de Calcul KeywordsReferencesPDFPDF…
Balance equations for physical systems with corpuscular structure
AbstractThe usual method in nonequilibrium statistical mechanics allows the derivation of the balance equations only for the collision invariants (mass,…
Critical parameters governing the mobility and fate of pesticides in soil/aquifer systems
Abstract AuthorsH. Vereecken U. Jaekel C. Mouvet C. Moreau P. Burauel M. Dust D. J. Kim D. Jacques J.…
Hydrodynamic equations for one-dimensional systems of inelastic particles
AbstractUsing a different method, the balance equations of mass, momentum, and kinetic energy are derived for an arbitrary one-dimensional system…
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…
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…