Random Fields and Stochastic Lagrangian Models (eBook, PDF)

Analysis and Applications in Turbulence and Porous Media

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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 engi...

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