000 03765nam a22005535i 4500
001 978-3-540-26317-3
003 DE-He213
005 20161121231031.0
007 cr nn 008mamaa
008 100301s2006 gw | s |||| 0|eng d
020 _a9783540263173
_9978-3-540-26317-3
024 7 _a10.1007/b137408
_2doi
050 4 _aQA71-90
072 7 _aPDE
_2bicssc
072 7 _aCOM014000
_2bisacsh
072 7 _aMAT003000
_2bisacsh
082 0 4 _a004
_223
100 1 _aBerselli, Luigi C.
_eauthor.
245 1 0 _aMathematics of Large Eddy Simulation of Turbulent Flows
_h[electronic resource] /
_cby Luigi C. Berselli, Traian Iliescu, William J. Layton.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2006.
300 _aXVIII, 350 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aScientific Computation,
_x1434-8322
505 0 _aThe Navier-Stokes Equations -- Eddy Viscosity Models -- to Eddy Viscosity Models -- Improved Eddy Viscosity Models -- Uncertainties in Eddy Viscosity Models and Improved Estimates of Turbulent Flow Functionals -- Advanced Models -- Basic Criteria for Subfilter-scale Modeling -- Closure Based on Wavenumber Asymptotics -- Scale Similarity Models -- Boundary Conditions -- Filtering on Bounded Domains -- Near Wall Models in LES -- Numerical Tests -- Variational Approximation of LES Models -- Test Problems for LES.
520 _aLarge eddy simulation (LES) is a method of scientific computation seeking to predict the dynamics of organized structures in turbulent flows by approximating local, spatial averages of the flow. Since its birth in 1970, LES has undergone an explosive development and has matured into a highly-developed computational technology. It uses the tools of turbulence theory and the experience gained from practical computation. This book focuses on the mathematical foundations of LES and its models and provides a connection between the powerful tools of applied mathematics, partial differential equations and LES. Thus, it is concerned with fundamental aspects not treated so deeply in the other books in the field, aspects such as well-posedness of the models, their energy balance and the connection to the Leray theory of weak solutions of the Navier-Stokes equations. The authors give a mathematically informed and detailed treatment of an interesting selection of models, focusing on issues connected with understanding and expanding the correctness and universality of LES. This volume offers a useful entry point into the field for PhD students in applied mathematics, computational mathematics and partial differential equations. Non-mathematicians will appreciate it as a reference that introduces them to current tools and advances in the mathematical theory of LES.
650 0 _aMathematics.
650 0 _aComputer mathematics.
650 0 _aPhysics.
650 0 _aFluids.
650 0 _aComputational intelligence.
650 1 4 _aMathematics.
650 2 4 _aComputational Science and Engineering.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
650 2 4 _aFluid- and Aerodynamics.
650 2 4 _aComputational Intelligence.
700 1 _aIliescu, Traian.
_eauthor.
700 1 _aLayton, William J.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540263166
830 0 _aScientific Computation,
_x1434-8322
856 4 0 _uhttp://dx.doi.org/10.1007/b137408
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c507564
_d507564