- Title Pages
- Dedication
- Preface
- Acknowledgements
- Part I Kinetic Theory of Fluids
- 1 Why a Kinetic Theory of Fluids?
- 2 Boltzmann’s Kinetic Theory
- 3 Approach to Equilibrium, the <i>H</i>-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 Particle Dynamics
- 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 Microdynamics
- 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 Numbers
- 19 LBE Flows in Disordered Media
- 20 Lattice Boltzmann for Turbulent Flows
- Part IV Lattice Kinetic Theory: Advanced Topics
- 21 Entropic Lattice Boltzmann
- 22 Thermohydrodynamic 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 Lattice Boltzmann for reactive flows
- 27 Lattice Boltzmann for Non-Ideal Fluids
- 28 Extensions of the Pseudo-Potential Method
- 29 Lattice Boltzmann Models for Microflows
- 30 The Fluctuating Lattice Boltzmann
- 31 LB for Flows with Suspended Objects: Fluid–Solid Interactions
- Part VI Beyond Newtonian Mechanics: Quantum and Relativistic Fluids
- 32 Quantum Lattice Boltzmann (QLB)
- 33 QLB for Quantum Many-Body and Quantum Field Theory
- 34 Relativistic Lattice Boltzmann (RLB)
- 35 Advanced RLB models
- 36 Coda
- 37 Notation
- Appendices
- Part VII Hands-On
- Index

# Lattice Boltzmann for reactive flows

# Lattice Boltzmann for reactive flows

- Chapter:
- (p.464) 26 Lattice Boltzmann for reactive flows
- Source:
- The Lattice Boltzmann Equation
- Author(s):
### Sauro Succi

- Publisher:
- Oxford University Press

The dynamics of reactive flows lies at the heart of several important applications, such as combustion, heterogeneous catalysis, pollutant conversion, pattern formation in biology and many others. In general, LB is well suited to describe reaction-diffusion applications with flowing species. This chapter provides the basic guidelines to include reactive phenomena within the LBE formalism. Reactive flows obey the usual fluid equations, augmented with a reactive source term, accounting for species transformations due to chemical reactions. Such term comes typically in the form of a polynomial product of the mass densities of the reacting species.

*Keywords:*
Chemical reactions, reactive flows, combustion, pattern formation, reaction-diffusion equations

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- Title Pages
- Dedication
- Preface
- Acknowledgements
- Part I Kinetic Theory of Fluids
- 1 Why a Kinetic Theory of Fluids?
- 2 Boltzmann’s Kinetic Theory
- 3 Approach to Equilibrium, the <i>H</i>-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 Particle Dynamics
- 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 Microdynamics
- 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 Numbers
- 19 LBE Flows in Disordered Media
- 20 Lattice Boltzmann for Turbulent Flows
- Part IV Lattice Kinetic Theory: Advanced Topics
- 21 Entropic Lattice Boltzmann
- 22 Thermohydrodynamic 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 Lattice Boltzmann for reactive flows
- 27 Lattice Boltzmann for Non-Ideal Fluids
- 28 Extensions of the Pseudo-Potential Method
- 29 Lattice Boltzmann Models for Microflows
- 30 The Fluctuating Lattice Boltzmann
- 31 LB for Flows with Suspended Objects: Fluid–Solid Interactions
- Part VI Beyond Newtonian Mechanics: Quantum and Relativistic Fluids
- 32 Quantum Lattice Boltzmann (QLB)
- 33 QLB for Quantum Many-Body and Quantum Field Theory
- 34 Relativistic Lattice Boltzmann (RLB)
- 35 Advanced RLB models
- 36 Coda
- 37 Notation
- Appendices
- Part VII Hands-On
- Index