Random Fields And Stochastic Lagrangian Models —— Analysis and Applications in Turbulence and Porous Media

----- 随机场和随机拉格朗日模型：分析及在湍流和多孔介质中的应用

ISBN: 9783110296648 出版年：2012 页码：416 Sabelfeld, Karl K Simonov, Nikolai A De Gruyter

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.