## 26 Citations

### Generalized bounce back boundary condition for the nine velocities two-dimensional lattice Boltzmann scheme

- PhysicsComputers & Fluids
- 2019

### On anti bounce back boundary condition for lattice Boltzmann schemes

- Mathematics, PhysicsComput. Math. Appl.
- 2020

### General fourth order Chapman-Enskog expansion of lattice Boltzmann schemes

- Mathematics, PhysicsArXiv
- 2023

In order to derive the equivalent partial differential equations of a lattice Boltzmann scheme,the Chapman Enskog expansion is very popular in the lattive Boltzmann community. A maindrawback of this…

### Discrete effects on boundary conditions of the lattice Boltzmann method for fluid flows with curved no-slip walls.

- PhysicsPhysical review. E
- 2020

This paper analyzes in detail a single-node curved boundary condition for predicting the Poiseuille flow and derives the numerical slip at the boundary dependent on a free parameter as well as the distance ratio and the relaxation times, and proposes an approach by virtue of the free parameter to eliminate the slip velocity while with uniform relaxation parameters.

### A phase-field-based lattice Boltzmann method for moving contact line problems on curved stationary boundaries in two dimensions

- Computer ScienceInternational Journal of Modern Physics C
- 2019

A phase-field-based lattice Boltzmann method to simulate moving contact line (MCL) problems on curved boundaries is proposed and numerical results show that the proposed method has utility for all the three WBCs on both straight and curved boundaries.

### Discrete effect on single-node boundary schemes of lattice Bhatnagar–Gross–Krook model for convection-diffusion equations

- Computer ScienceInternational Journal of Modern Physics C
- 2019

This paper analyzes the discrete effect on a non-halfway single-node boundary condition which incorporates the effect of the distance ratio, and finds that the relaxation time can be freely adjusted by thedistance ratio in a proper range to eliminate the numerical slip.

### Taylor Expansion Method for Linear Lattice Boltzmann Schemes with an External Force: Application to Boundary Conditions

- Physics, Mathematics
- 2014

In this contribution we show that it is possible to get the macroscopic fluid equations of a lattice Boltzmann scheme with an external force using the Taylor expansion method. We validate this…

### Large Eddy Simulation-Based Lattice Boltzmann Method with Different Collision Models

- Physics, Computer Science
- 2018

This paper addresses the issue of incorporation of the subgrid turbulence model in the lattice Boltzmann equation (LBE), and shows that the LES-MRT model remains the most effective in terms of accuracy and stability.

### Lattice-Boltzmann simulations of the thermally driven 2D square cavity at high Rayleigh numbers

- PhysicsJ. Comput. Phys.
- 2014

## References

SHOWING 1-10 OF 30 REFERENCES

### Une introduction au schma de Boltzmann sur rseau

- Mathematics, Physics
- 2007

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

- Physics
- 1994

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

- Physics
- 1996

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.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2003

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

- Mathematics
- 2008

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

- Physics
- 1992

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

- Mathematics
- 2005

### Lattice Gas Hydrodynamics in Two and Three Dimensions

- PhysicsComplex Syst.
- 1987

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.

### Third order equivalent equation of lattice Boltzmann scheme

- Physics, Computer Science
- 2008

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.