On rotational invariance of lattice Boltzmann schemes

DOI10.1016/j.camwa.2013.06.009zbMath1381.76276arXiv1401.0399OpenAlexW4311096254MaRDI QIDQ316457

Pierre Lallemand, Benjamin Graille, François Dubois, Adeline Augier

Publication date: 27 September 2016

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

Full work available at URL: https://arxiv.org/abs/1401.0399

zbMATH Keywords

isotropyacousticslinearized Navier-StokesTaylor expansion method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Particle methods and lattice-gas methods (76M28)

Related Items (8)

The lattice Boltzmann method for nearly incompressible flows ⋮ Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes ⋮ Unexpected convergence of lattice Boltzmann schemes ⋮ Implementation of the compact interpolation within the octree based lattice Boltzmann solver Musubi ⋮ Editorial: Mesoscopic methods in engineering and science ⋮ A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows ⋮ The cumulant lattice Boltzmann equation in three dimensions: theory and validation ⋮ Lattice Boltzmann model approximated with finite difference expressions

Uses Software

• LBMpy

Cites Work

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• Stable lattice Boltzmann schemes with a dual entropy approach for monodimensional nonlinear waves
• Some results on energy-conserving lattice Boltzmann models
• Linear lattice Boltzmann schemes for acoustic: parameter choices and isotropy properties
• Quartic parameters for acoustic applications of lattice Boltzmann scheme
• Stokes eigenmodes in cubic domain: primitive variable and lattice Boltzmann formulations
• Equivalent partial differential equations of a lattice Boltzmann scheme
• Isotropy conditions for lattice Boltzmann schemes. Application to D2Q9
• Moment isotropy and discrete rotational symmetry of two-dimensional lattice vectors
• Towards higher order lattice Boltzmann schemes
• Lattice BGK Models for Navier-Stokes Equation

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