Constructing relaxation systems for lattice Boltzmann methods

DOI10.1016/j.aml.2022.108484OpenAlexW4307052953MaRDI QIDQ2106123

Martin Frank, Stephan Simonis, Mathias J. Krause

Publication date: 8 December 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.14976

zbMATH Keywords

convergencepartial differential equationlattice Boltzmann methodsrelaxation system

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Basic methods in fluid mechanics (76Mxx) Computer science (68-XX)

Related Items (1)

Consistent lattice Boltzmann methods for the volume averaged Navier-Stokes equations

Cites Work

• On the stability structure for lattice Boltzmann schemes
• Hadamard inverses, square roots and products of almost semidefinite matrices
• The lattice Boltzmann method for nearly incompressible flows
• Temporal large eddy simulation with lattice Boltzmann methods
• Finite difference formulation of any lattice Boltzmann scheme
• OpenLB -- open source lattice Boltzmann code
• Diffusive BGK approximations for nonlinear multidimensional parabolic equations
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
• Linear hydrodynamics and stability of the discrete velocity Boltzmann equations
• On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection–diffusion equations

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