## Evaluation of overshooting errors in particle methods for diffusion by biased global random walk

AbstractThe adjustment of grid steps which guarantees that particles methods yield no numerical diffusion inevitably induces overshooting errors in the…

AbstractThe adjustment of grid steps which guarantees that particles methods yield no numerical diffusion inevitably induces overshooting errors in the…

AbstractA generalized form of the random walk algorithm to simulate diffusion processes is introduced. Unlike the usual approach, at a…

AbstractThe methods which track particles to simulate concentrations are successfully used in problems for large scale transport in groundwater, mainly…

AbstractDarcy velocities for lognormal hydraulic conductivity with small variance and finite correlation length were approximated by periodic random fields. Accurate…

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

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

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

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

AbstractProbability density function (PDF) methods are a promising alternative to predicting the transport of solutes in groundwater under uncertainty. They…

AbstractConcentration time series are provided by simulated concentrations of a nonreactive solute transported in groundwater, integrated over the transverse direction…