000 03775nam a22005295i 4500
001 978-3-642-34088-8
003 DE-He213
005 20140220083328.0
007 cr nn 008mamaa
008 130125s2012 gw | s |||| 0|eng d
020 _a9783642340888
_9978-3-642-34088-8
024 7 _a10.1007/978-3-642-34088-8
_2doi
050 4 _aTJ265
050 4 _aQC319.8-338.5
072 7 _aTGMB
_2bicssc
072 7 _aSCI065000
_2bisacsh
082 0 4 _a621.4021
_223
100 1 _aGuo, Weidong.
_eauthor.
245 1 4 _aThe Application of the Chebyshev-Spectral Method in Transport Phenomena
_h[electronic resource] /
_cby Weidong Guo, Gérard Labrosse, Ranga Narayanan.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2012.
300 _aXII, 229 p. 52 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Applied and Computational Mechanics,
_x1613-7736 ;
_v68
505 0 _aAn Introduction to the Book and a Road Map -- An Introduction to the Spectral Method -- Steady One-Dimensional (1D) Heat Conduction Problems -- Unsteady 1D Heat Conduction Problems -- Steady Two-Dimensional (2D) Heat Conduction Problems -- 2D Closed Flow Problems - The Driven Cavity -- Applications to Hydrodynamic Instabilities -- Exercises for the Reader -- References -- Index.
520 _aTransport phenomena problems that occur in engineering and physics are often multi-dimensional and multi-phase in character.  When taking recourse to numerical methods the spectral method is particularly useful and efficient. The book is meant principally to train students and non-specialists  to use the spectral method for solving problems that model fluid flow in closed geometries with heat or mass transfer.  To this aim the reader should bring a working knowledge of fluid mechanics and heat transfer and should be readily conversant with simple concepts of linear algebra including spectral decomposition of matrices as well as solvability conditions for inhomogeneous problems.  The book is neither meant to supply a ready-to-use program that is all-purpose nor to go through all manners of mathematical proofs.  The focus in this tutorial is on the use of the spectral methods for space discretization, because this is where most of the difficulty lies. While time dependent problems are also of great interest, time marching procedures are dealt with by briefly introducing and providing a simple, direct, and efficient method. Many examples are provided in the text as well as numerous exercises for each chapter. Several of the examples are attended by subtle points which the reader will face while working them out. Some of these points are deliberated upon in endnotes to the various chapters, others are touched upon in the book itself.
650 0 _aEngineering.
650 0 _aComputer science.
650 0 _aHydraulic engineering.
650 1 4 _aEngineering.
650 2 4 _aEngineering Thermodynamics, Heat and Mass Transfer.
650 2 4 _aNumerical and Computational Physics.
650 2 4 _aEngineering Fluid Dynamics.
650 2 4 _aFluid- and Aerodynamics.
650 2 4 _aComputational Science and Engineering.
700 1 _aLabrosse, Gérard.
_eauthor.
700 1 _aNarayanan, Ranga.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642340871
830 0 _aLecture Notes in Applied and Computational Mechanics,
_x1613-7736 ;
_v68
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-34088-8
912 _aZDB-2-ENG
999 _c103728
_d103728