000 02971nam a22004098i 4500
001 CR9780511524714
003 UkCbUP
005 20200124160241.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090402s1997||||enk o ||1 0|eng|d
020 _a9780511524714 (ebook)
020 _z9780521552011 (hardback)
020 _z9780521607605 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC157
_b.R587 1997
082 0 0 _a532.050113
_221
100 1 _aRothman, Daniel H.,
_eauthor.
245 1 0 _aLattice-gas cellular automata :
_bsimple models of complex hydrodynamics /
_cDaniel H. Rothman, Stéphane Zaleski.
264 1 _aCambridge :
_bCambridge University Press,
_c1997.
300 _a1 online resource (xxi, 297 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCollection Aléa-Saclay : monographs and texts in statistical physics
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _tA simple model of fluid mechanics --
_tTwo routes to hydrodynamics --
_tInviscid two-dimensional lattice-gas hydrodynamics --
_tViscous two-dimensional hydrodynamics --
_tSome simple three-dimensional models --
_tThe lattice-Boltzmann method --
_tUsing the Boltzmann method --
_tMiscible fluids --
_tImmiscible lattice gases --
_tLattice-Boltzmann method for immiscible fluids --
_tImmiscible lattice gases in three dimensions --
_tLiquid-gas models.
520 _aThe text is a self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases. Lattice-gas cellular automata are discrete models of fluids. Identical particles hop from site to site on a regular lattice, obeying simple conservative scattering rules when they collide. Remarkably, at a scale larger than the lattice spacing, these discrete models simulate the Navier-Stokes equations of fluid mechanics. This book addresses three important aspects of lattice gases. First, it shows how such simple idealised microscopic dynamics give rise to isotropic macroscopic hydrodynamics. Second, it details how the simplicity of the lattice gas provides for equally simple models of fluid phase separation, hydrodynamic interfaces, and multiphase flow. Lastly, it illustrates how lattice-gas models and related lattice-Boltzmann methods have been used to solve problems in applications as diverse as flow through porous media, phase separation, and interface dynamics. Many exercises and references are included.
650 0 _aHydrodynamics
_xMathematical models.
650 0 _aHydrodynamics
_xComputer simulation.
650 0 _aLattice gas
_xMathematical models.
650 0 _aCellular automata
_xMathematical models.
700 1 _aZaleski, S.,
_eauthor.
776 0 8 _iPrint version:
_z9780521552011
830 0 _aCollection Aléa-Saclay.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511524714
999 _c518544
_d518542