# An Alternative Lattice Boltzmann Model for Incompressible Flows and its Stabilization

@article{Zhang2017AnAL, title={An Alternative Lattice Boltzmann Model for Incompressible Flows and its Stabilization}, author={Liang Zhang and Zhong Zeng and Haiqiong Xie and Zhouhua Qiu and Liping Yao and Yongxiang Zhang and Yiyu Lu}, journal={Communications in Computational Physics}, year={2017}, volume={21}, pages={443-465} }

In this paper, an alternative lattice Boltzmann (LB) model for incompressible flows is proposed. By modifying directly the moments of the equilibrium distribution function (EDF), the continuous expression of the EDF in tensor Hermite polynomials is derived using the moment expansion and then discretized with the discrete velocity vectors of the D2Q9 lattice. The present model as well as its counterpart, the incompressible LB model proposed by Guo, reproduces the incompressible Navier-Stokes (N…

## 4 Citations

### A simplified lattice Boltzmann flux solver for multiphase flows with large density ratio

- Physics, Computer ScienceInternational Journal for Numerical Methods in Fluids
- 2021

A simplified MLBFS which reconstructs the fluxes with the combination of the distribution functions and the macroscopic variables is proposed which can improve the computational efficiency of the MLBFS while maintaining the numerical accuracy and reliability of the original MLBFS.

### A pore-scale study of flow and transport across the sediment–water interface: From dispersive to turbulent regimes

- Environmental SciencePhysics of Fluids
- 2021

## References

SHOWING 1-10 OF 68 REFERENCES

### A comparative study of lattice Boltzmann models for incompressible flow

- Computer ScienceComput. Math. Appl.
- 2014

### LATTICE BGK MODEL FOR THE INCOMPRESSIBLE NAVIER—STOKES EQUATION

- Computer Science
- 2003

A Lattice Bhatager-Gross-Krook (LBGK) model to simulate incompressible flow is developed and the numerical results are found to be in excellent agreement with theory and the results of previous studies.

### Lattice Boltzmann Model for the Incompressible Navier–Stokes Equation

- Computer Science
- 1997

Numerical results of simulations of the plane Poiseuille flow driven either by pressure gradient or a fixed velocity profile at entrance as well as of the 2D Womersley flow are presented and are found to be in excellent agreement with theory.

### An immersed boundary-lattice-Boltzmann method for the simulation of the flow past an impulsively started cylinder

- PhysicsJ. Comput. Phys.
- 2008

### Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method

- Physics
- 2005

In this paper,we propose a new approach to implementing boundary conditions in the lattice Boltzmann method (LBM).The basic idea is to decompose the distribution function at the boundary node into…

### Theory of the lattice boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000

The generalized hydrodynamics (the wave vector dependence of the transport coefficients) of a generalized lattice Boltzmann equation (LBE) is studied in detail and linear analysis of the LBE evolution operator is equivalent to Chapman-Enskog analysis in the long-wavelength limit (wave vector k=0).

### Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method

- Physics
- 2002

In this paper, we propose a new approach to implementing boundary conditions in the lattice Boltzmann method (LBM). The basic idea is to decompose the distribution function at the boundary node into…

### Lattice BGK model for incompressible Navier-Stokes equation

- Engineering, Mathematics
- 2000

Abstract Most of the existing lattice Boltzmann BGK models (LBGK) can be viewed as compressible schemes to simulate incompressible fluid flows. The compressible effect might lead to some undesirable…

### Accuracy of the viscous stress in the lattice Boltzmann equation with simple boundary conditions.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012

It is proved that the viscous stress tensor computed with the lattice Boltzmann equation (LBE) in a two-dimensional domain is indeed second-order accurate in space.