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Enhanced single-node lattice Boltzmann boundary condition for fluid flows.

Francesco Marson¹, Yann Thorimbert¹, Bastien Chopard¹

¹Department of Computer Science, University of Geneva, 1204 Geneva, Switzerland.

Physical Review. E

|June 17, 2021

Summary

This summary is machine-generated.

This study introduces a new lattice Boltzmann method for complex shapes, achieving second-order accuracy for velocity boundary conditions. The method is accurate and efficient for simulating moving objects and complex geometries.

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Area of Science:

Computational Fluid Dynamics
Numerical Methods

Background:

Implementing accurate boundary conditions in the lattice Boltzmann method (LBM) is crucial for simulating fluid flow.
Existing methods for complex geometries can be computationally intensive or lack precision.

Purpose of the Study:

To develop a novel procedure for implementing Dirichlet velocity boundary conditions for complex shapes in LBM.
To achieve second-order accuracy and high fidelity in simulations involving intricate geometries.

Main Methods:

Generalizing boundary conditions by combining bounce-back rules with localized interpolations.
Limiting interpolation to the boundary proximity for enhanced efficiency and accuracy.

Main Results:

The proposed method achieves second-order convergence for the velocity field.
It demonstrates comparable or superior accuracy to established schemes like Bouzidi's, especially for curved walls.
Viscosity-independent accuracy is achieved through parametrized versions of the method.

Conclusions:

The new method is robust for simulating moving objects and complex geometries, including corners and narrow gaps.
It offers a uniform and modification-free application across the entire computational domain.
The approach provides a versatile and accurate solution for boundary conditions in LBM simulations.