000 | 02971nam a22004098i 4500 | ||
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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 |
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050 | 0 | 0 |
_aQC157 _b.R587 1997 |
082 | 0 | 0 |
_a532.050113 _221 |
100 | 1 |
_aRothman, Daniel H., _eauthor. |
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245 | 1 | 0 |
_aLattice-gas cellular automata : _bsimple models of complex hydrodynamics / _cDaniel H. Rothman, Stéphane Zaleski. |
264 | 1 |
_aCambridge : _bCambridge University Press, _c1997. |
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300 |
_a1 online resource (xxi, 297 pages) : _bdigital, PDF file(s). |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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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. |
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650 | 0 |
_aHydrodynamics _xComputer simulation. |
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650 | 0 |
_aLattice gas _xMathematical models. |
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650 | 0 |
_aCellular automata _xMathematical models. |
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700 | 1 |
_aZaleski, S., _eauthor. |
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776 | 0 | 8 |
_iPrint version: _z9780521552011 |
830 | 0 | _aCollection Aléa-Saclay. | |
856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511524714 |
999 |
_c518544 _d518542 |