Random fields and stochastic Lagrangian models : analysis and applications in turbulence and porous media / Karl K. Sabelfeld.

Format:

Book

Author/Creator:

Sabelʹfelʹd, K. K. (Karl Karlovich)

Simonov, N. A., author.

Language:

English

Subjects (All):

Random fields.

Lagrangian functions.

Lagrange spectrum.

Physical Description:

1 online resource (415 p.)

Edition:

1st ed.

Place of Publication:

Berlin : De Gruyter, 2013.

Language Note:

English

Summary:

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.

Contents:

Frontmatter

Preface

Contents

Chapter 1. Introduction

Chapter 2. Stochastic simulation of vector Gaussian random fields

Chapter 3. Stochastic Lagrangian models of turbulent flows: Relative dispersion of a pair of fluid particles

Chapter 4. A new Lagrangian model of 2-particle relative turbulent dispersion

Chapter 5. The combined Eulerian-Lagrangian model

Chapter 6. Stochastic Lagrangian models for 2-particle relative dispersion in high-Reynolds-number turbulence

Chapter 7. Stochastic Lagrangian models for 2-particle motion in turbulent flows. Numerical results

Chapter 8. The 1-particle stochastic Lagrangian model for turbulent dispersion in horizontally homogeneous turbulence

Chapter 9. Direct and adjoint Monte Carlo for the footprint problem

Chapter 10. Lagrangian stochastic models for turbulent dispersion in an atmospheric boundary layer

Chapter 11. Analysis of the relative dispersion of two particles by Lagrangian stochastic models and DNS methods

Chapter 12. Evaluation of mean concentration and fluxes in turbulent flows by Lagrangian stochastic models

Chapter 13. Stochastic Lagrangian footprint calculations over a surface with an abrupt change of roughness height

Chapter 14. Stochastic flow simulation in 3D porous media

Chapter 15. A Lagrangian stochastic model for the transport in statistically homogeneous porous media

Chapter 16. Coagulation of aerosol particles in intermittent turbulent flows

Chapter 17. Stokes flows under random boundary velocity excitations

Bibliography

Index

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

ISBN:

9783110296815

3110296810

OCLC:

826685198