图书简介
After providing a self-contained introduction to the kinetic theory of fluids and a thorough account of its transcription to the lattice framework, this text provides a survey of the major developments which have led to the impressive growth of the Lattice Boltzmann across most walks of fluid dynamics and its interfaces with allied disciplines.
Part I: Kinetic Theory of Fluids; 1 Why a kinetic theory of fluids?; 2 Kinetic theory and the Boltzmann equation; 3 Approach to equilibrium, the H-theorem and irreversibility; 4 Transport phenomena; 5 From kinetic theory to Navier-Stokes hydrodynamics; 6 Generalized hydrodynamics beyond Navier-Stokes; 7 Kinetic theory of dense fluids; 8 Model Boltzmann equations; 9 Stochastic kinetic theory; 10 Numerical methods for the kinetic theory of fluids; Part II: Lattice Kinetic Theory; 11 Lattice Gas Cellular Automata; 12 Lattice Boltzmann models with underlying Boolean microdynamics; 13 Lattice Boltzmann models without underlying Boolean mircodynamics; 14 Lattice Relaxation Schemes; 15 The Hermite-Gauss route to LBE; 16 LBE in the framework of computational fluid dynamics; Part III: Fluid Dynamics Applications; 17 Boundary conditions; 18 Flows at moderate Reynolds number; 19 LBE flows in disordered media; 20 Lattice Boltzmann for Turbulent Flows; Part IV: Lattice Kinetic Theory: Advanced Topics; 21 Entropic Lattice Boltzmann; 22 Thermohydrodynamics LBE schemes; 23 Out of Legoland: geoflexible Lattice Boltzmann equations; 24 Lattice Boltzmann for Turbulence Modeling; Part V: Beyond Fluid Dynamics: Complex States of Flowing Matter; 25 LBE for generalized hydrodynamics; 26 Reactive flows; 27 Lattice Boltzmann for non-ideal fluids; 28 Extensions of the psuedo-potential methods; 29 Lattice Boltzmann models for microflows; 30 The fluctuating Lattice Boltzmann; 31 Lattice Boltzmann for flows with suspended objects: fluid-solid interactions; Part VI: Beyond Newtonian Mechanics: Quantum and Relativistic Fluids; 32 LBE for quantum mechanics; 33 QLB for quantum many-body and quantum field theory; 34 Relativistic Lattice Boltzmann; 35 Relativistiv Lattice Boltzmann II: kinetic derivation; 36 Coda; 37 Notation; Appendices
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