Investigation of stability and hydrodynamics of different lattice Boltzmann models

DOI10.1007/s10955-004-2264-xzbMath1113.82044OpenAlexW2080583385MaRDI QIDQ852139

N. E. Zubov

Publication date: 27 November 2006

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

Full work available at URL: https://doi.org/10.1007/s10955-004-2264-x

zbMATH Keywords

stability analysishydrodynamicslattice Boltzmann equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (11)

On the Stability of Multi-Step Finite-Difference-Based Lattice Boltzmann Schemes ⋮ Acoustic wave propagation and its application to fluid structure interaction using the cumulant lattice Boltzmann method ⋮ Global linear instability analysis of thermal convective flow using the linearized lattice Boltzmann method ⋮ LATTICE BOLTZMANN APPROACH TO HIGH-SPEED COMPRESSIBLE FLOWS ⋮ The effects of particle shape, orientation, and Reynolds number on particle-wall collisions ⋮ A lattice-Boltzmann scheme of the Navier-Stokes Equation on a three-dimensional cuboid lattice ⋮ A viscosity counteracting approach in the lattice Boltzmann BGK model for low viscosity flow: preliminary verification ⋮ Impact of collision models on the physical properties and the stability of lattice Boltzmann methods ⋮ A Simplified Lattice Boltzmann Method without Evolution of Distribution Function ⋮ A preconditioned lattice Boltzmann flux solver for steady flows on unstructured hexahedral grids ⋮ Lattice Boltzmann method with selective viscosity filter

Cites Work

• Some progress in lattice Boltzmann method. I: Nonuniform mesh grids
• Derivation of the lattice Boltzmann method by means of the discrete ordinate method for the Boltzmann equation
• A novel thermal model for the lattice Boltzmann method in incompressible limit
• Lattice Boltzmann model for the incompressible Navier-Stokes equation
• Lattice Boltzmann method on curvilinear coordinates system: Flow around a circular cylinder
• Lattice Boltzmann computational fluid dynamics in three dimensions
• A new differential lattice Boltzmann equation and its application to simulate incompressible flows on non-uniform grids
• Stability analysis of lattice Boltzmann methods
• Challenges in lattice Boltzmann computing
• Numerical Solution of Ordinary Differential Equations

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