Scalings in diffusion-driven reaction \(A+B\to C\): numerical simulations by lattice BGK models

DOI10.1007/BF02179978zbMath1106.82357MaRDI QIDQ2500086

Yanyan Li

Publication date: 23 August 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

numerical simulationkinetic theoryBGK modelReaction-diffusion

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Chemical kinetics in thermodynamics and heat transfer (80A30)

Related Items (13)

Lattice Boltzmann Simulation of Diffusion-Convection Systems with Surface Chemical Reaction ⋮ Numerical bifurcation analysis of PDEs from lattice Boltzmann model simulations: a parsimonious machine learning approach ⋮ MRT discrete Boltzmann method for compressible exothermic reactive flows ⋮ An efficient Newton-Krylov implementation of the constrained runs scheme for initializing on a slow manifold ⋮ Multi-degree-of-freedom kinetic model and its applications in simulation of three-dimensional nonequilibrium flows ⋮ Boundary treatment for the lattice Boltzmann method using adaptive relaxation times ⋮ Acceleration of lattice Boltzmann models through state extrapolation: a reaction-diffusion example ⋮ Lattice Boltzmann simulation for the spiral waves in the excitable medium ⋮ Lattice Bhatnagar-Gross-Krook model for the Lorenz attractor ⋮ Recovery of the scale-\(\varepsilon^2\) pattern by lattice BGK model ⋮ Newton-Krylov solvers for the equation-free computation of coarse traveling waves ⋮ Coarse-grained numerical bifurcation analysis of lattice Boltzmann models ⋮ Diffusive Lorenz dynamics: Coherent structures and spatiotemporal chaos

Cites Work

• Asymptotic behavior of densities for two-particle annihilating random walks
• Reaction-diffusion equation describing morphogenesis. I: Waveform stability of stationary wave solutions in a one dimensional model
• Phase separation and random domain patterns in a stochastic particle model
• Anomalous kinetics in \(A+B\to C\) with initially-separated reactants
• Lattice BGK Models for Navier-Stokes Equation
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
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