Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains

DOI10.1016/j.camwa.2007.08.002zbMath1142.76451OpenAlexW1978542358MaRDI QIDQ945073

Michael Junk, Zhaoxia Yang

Publication date: 11 September 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.08.002

zbMATH Keywords

stabilityconvergencelattice Boltzmann methodperiodic boundarybounce backlinear collision

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Particle methods and lattice-gas methods (76M28)

Related Items

Spurious interface and boundary behaviour beyond physical solutions in lattice Boltzmann schemes ⋮ Boundary conditions of the lattice Boltzmann method for convection-diffusion equations ⋮ Seven-velocity three-dimensional vectorial lattice Boltzmann method including various types of approximations to the pressure and two-parameterized second-order boundary treatments ⋮ Vector-Type Boundary Schemes for the Lattice Boltzmann Method Based on Vector-BGK Models ⋮ Weighted \(L^2\)-stability of a discrete kinetic approximation for the incompressible Navier-Stokes equations on bounded domains ⋮ Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations ⋮ On the stability structure for lattice Boltzmann schemes ⋮ Coarse- and fine-grid numerical behavior of MRT/TRT lattice-Boltzmann schemes in regular and random sphere packings ⋮ Convergence of lattice Boltzmann methods for Navier-Stokes flows in periodic and bounded domains ⋮ A numerical method for simulation dynamics of incompressible lipid membranes in viscous fluid

Cites Work

• Asymptotic analysis of lattice Boltzmann boundary conditions
• Lattice Boltzmann method for 3-D flows with curved boundary
• Stability analysis of lattice Boltzmann methods
• Accurate partial difference methods. II: Non-linear problems
• Asymptotic analysis of the lattice Boltzmann equation
• Momentum transfer of a Boltzmann-lattice fluid with boundaries
• Weighted $\mathbb{L}^2$-Stability of the Lattice Boltzmann Method
• Convergence of Convective–Diffusive Lattice Boltzmann Methods
• Comparisons of Lattice Boltzmann and Finite Difference Methods for a Two-Dimensional Viscous Burgers Equation
• A Stability Notion for Lattice Boltzmann Equations
• Unnamed Item
• Unnamed Item