Revisiting the second-order convergence of the lattice Boltzmann method with reaction-type source terms
DOI10.1016/j.camwa.2023.05.020arXiv2107.03962OpenAlexW4379622123MaRDI QIDQ6135103
Michal Dzikowski, Grzegorz Gruszczyński, Łukasz Łaniewski-Wołłk
Publication date: 23 August 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.03962
Diffusion (76R50) Particle methods and lattice-gas methods (76M28) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Cites Work
- A multiple-relaxation-time lattice Boltzmann model for general nonlinear anisotropic convection-diffusion equations
- Adjoint lattice Boltzmann for topology optimization on multi-GPU architecture
- The role of the kinetic parameter in the stability of two-relaxation-time advection-diffusion lattice Boltzmann schemes
- An improved lattice Boltzmann method for simulating advective-diffusive processes in fluids
- A new scheme for source term in LBGK model for convection-diffusion equation
- On equations of state in a lattice Boltzmann method
- A novel thermal model for the lattice Boltzmann method in incompressible limit
- Cascaded lattice Boltzmann method for incompressible thermal flows with heat sources and general thermal boundary conditions
- A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio
- A cascaded phase-field lattice Boltzmann model for the simulation of incompressible, immiscible fluids with high density contrast
- Equivalent finite difference and partial differential equations for the lattice Boltzmann method
- Lattice Boltzmann method for general convection-diffusion equations: MRT model and boundary schemes
- Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation
- Scaling of Differential Equations
- Discrete lattice effects on the forcing term in the lattice Boltzmann method
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- The Lattice Boltzmann Method
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