The book presents advanced stochastic models and simulation methods for random flows and
transport of particles by turbulent velocity fields and flows in porous media. Two main classes
of models are constructed: (1) turbulent flows are modeled as synthetic random fields which
have certain statistics and features mimicing those of turbulent fluid in the regime of
interest and (2) the models are constructed in the form of stochastic differential equations
for stochastic Lagrangian trajectories of particles carried by turbulent flows.The book is
written for mathematicians physicists and engineers studying processes associated with
probabilistic interpretation researchers in applied and computational mathematics in
environmental and engineering sciences dealing with turbulent transport and flows in porous
media as well as nucleation coagulation and chemical reaction analysis under fluctuation
conditions. It can be of interest for students and post-graduates studying numerical methods
for solving stochastic boundary value problems of mathematical physics and dispersion of
particles by turbulent flows and flows in porous media.
