LEADER 04935nam 2200721 a 450 001 9910779727703321 005 20230803021032.0 010 $a3-11-029681-0 024 7 $a10.1515/9783110296815 035 $a(CKB)2550000001096699 035 $a(OCoLC)826685198 035 $a(CaPaEBR)ebrary10649219 035 $a(SSID)ssj0000820312 035 $a(PQKBManifestationID)12363384 035 $a(PQKBTitleCode)TC0000820312 035 $a(PQKBWorkID)10876690 035 $a(PQKB)11445111 035 $a(MiAaPQ)EBC1104258 035 $a(DE-B1597)178718 035 $a(OCoLC)1013937472 035 $a(OCoLC)840445627 035 $a(DE-B1597)9783110296815 035 $a(Au-PeEL)EBL1104258 035 $a(CaPaEBR)ebr10649219 035 $a(CaONFJC)MIL503233 035 $a(OCoLC)827212212 035 $a(EXLCZ)992550000001096699 100 $a20121226d2013 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRandom fields and stochastic Lagrangian models$b[electronic resource] $eanalysis and applications in turbulence and porous media /$fKarl K. Sabelfeld 210 $aBerlin $cDe Gruyter$d2013 215 $a1 online resource (415 p.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-11-029664-0 311 $a1-299-71982-1 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tPreface -- $tContents -- $tChapter 1. Introduction -- $tChapter 2. Stochastic simulation of vector Gaussian random fields -- $tChapter 3. Stochastic Lagrangian models of turbulent flows: Relative dispersion of a pair of fluid particles -- $tChapter 4. A new Lagrangian model of 2-particle relative turbulent dispersion -- $tChapter 5. The combined Eulerian-Lagrangian model -- $tChapter 6. Stochastic Lagrangian models for 2-particle relative dispersion in high-Reynolds-number turbulence -- $tChapter 7. Stochastic Lagrangian models for 2-particle motion in turbulent flows. Numerical results -- $tChapter 8. The 1-particle stochastic Lagrangian model for turbulent dispersion in horizontally homogeneous turbulence -- $tChapter 9. Direct and adjoint Monte Carlo for the footprint problem -- $tChapter 10. Lagrangian stochastic models for turbulent dispersion in an atmospheric boundary layer -- $tChapter 11. Analysis of the relative dispersion of two particles by Lagrangian stochastic models and DNS methods -- $tChapter 12. Evaluation of mean concentration and fluxes in turbulent flows by Lagrangian stochastic models -- $tChapter 13. Stochastic Lagrangian footprint calculations over a surface with an abrupt change of roughness height -- $tChapter 14. Stochastic flow simulation in 3D porous media -- $tChapter 15. A Lagrangian stochastic model for the transport in statistically homogeneous porous media -- $tChapter 16. Coagulation of aerosol particles in intermittent turbulent flows -- $tChapter 17. Stokes flows under random boundary velocity excitations -- $tBibliography -- $tIndex 330 $aThe 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. 606 $aRandom fields 606 $aLagrangian functions 606 $aLagrange spectrum 610 $aFootprint Function. 610 $aLagrangian Stochastic Model. 610 $aRandom Field. 610 $aStochastic Flow. 615 0$aRandom fields. 615 0$aLagrangian functions. 615 0$aLagrange spectrum. 676 $a519.2/3 686 $aRB 10115$2rvk 700 $aSabel?fel?d$b K. K$g(Karl Karlovich)$01027546 702 $aSimonov$b Nikolai A., 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910779727703321 996 $aRandom fields and stochastic Lagrangian models$93680435 997 $aUNINA