On a superconvergent lattice Boltzmann boundary scheme

@article{Dubois2010OnAS,
  title={On a superconvergent lattice Boltzmann boundary scheme},
  author={François Dubois and Pierre Lallemand and Mahdi Tekitek},
  journal={Comput. Math. Appl.},
  year={2010},
  volume={59},
  pages={2141-2149}
}
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26 Citations
Background Citations
8
Methods Citations
5
Results Citations
2

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26 Citations

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References

SHOWING 1-10 OF 30 REFERENCES

Une introduction au schma de Boltzmann sur rseau

We propose an elementary introduction to the lattice Boltzmann scheme. We recall the physical (Boltzmann equation) and algorithmic (cellular automata) origins of this numerical method. For a…

Boundary flow condition analysis for the three-dimensional lattice Boltzmann model

In the continuum limit, the velocity of a Newtonian fluid should vanish at a solid wall. This condition is studied for the FCHC lattice Boltzmann model with rest particles. This goal is achieved by…

Local second-order boundary methods for lattice Boltzmann models

A new way to implement solid obstacles in lattice Boltzmann models is presented. The unknown populations at the boundary nodes are derived from the locally known populations with the help of a…

Multireflection boundary conditions for lattice Boltzmann models.

A general framework for several previously introduced boundary conditions for lattice Boltzmann models, such as the bounce-back rule and the linear and quadratic interpolations is presented, to give theoretical tools to study the existing link-type boundary conditions and their corresponding accuracy.

Two-relaxation-time Lattice Boltzmann scheme: About parametrization, velocity, pressure and mixed boundary conditions

We develop a two-relaxation-time (TRT) Lattice Boltzmann model for hydrodynamic equations with variable source terms based on equivalent equilibrium functions. A special parametrization of the free…

Lattice BGK Models for Navier-Stokes Equation

We propose the lattice BGK models, as an alternative to lattice gases or the lattice Boltzmann equation, to obtain an efficient numerical scheme for the simulation of fluid dynamics. With a properly…

Generic boundary conditions for lattice Boltzmann models and their application to advection and anisotropic dispersion equations

Lattice Gas Hydrodynamics in Two and Three Dimensions

It is shown for a class of D-dimensional lattice gas models how the macrodynamical equations for the densities of microscopically conserved quantities can be systematically derived from the underlying exact ''microdynamical'' Boolean equations.

Noncentered schemes and schock propagation problems

Third order equivalent equation of lattice Boltzmann scheme

A formal analysis of this lattice Boltzmann scheme in terms of a single numerical infinitesimal parameter is presented and third order equivalent partial differential equation of this scheme is derived.