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Three-dimensional cascaded lattice Boltzmann method: Improved implementation and consistent forcing scheme.

Linlin Fei1, Kai H Luo1,2, Qing Li3

  • 1Center for Combustion Energy; Key laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, China.

Physical Review. E
|June 17, 2018
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Summary
This summary is machine-generated.

This study introduces an efficient 3D cascaded lattice Boltzmann method (CLBM) by simplifying central moments and using a multi-relaxation-time framework. The improved CLBM significantly reduces computational cost and accurately incorporates force fields for fluid dynamics simulations.

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Area of Science:

  • Computational Fluid Dynamics
  • Numerical Methods in Physics
  • Fluid Mechanics

Background:

  • The cascaded or central-moment-based lattice Boltzmann method (CLBM) offers good numerical stability but faces challenges in 3D simulations.
  • Conventional 3D CLBM implementations are computationally expensive and struggle with accurate incorporation of general force fields.
  • Existing methods like nonorthogonal CLBM have limitations in computational efficiency and consistency.

Purpose of the Study:

  • To present an improved and computationally efficient method for implementing 3D CLBM.
  • To address the challenges of high computational cost and accurate force field incorporation in 3D CLBM.
  • To validate the proposed method's accuracy, convergence, and consistency for force-driven flows.

Main Methods:

  • Adopted a simplified central moment set for the CLBM collision operator.
  • Implemented the collision operator within a general multi-relaxation-time (GMRT) framework.
  • Extended a consistent forcing scheme to incorporate general force fields into 3D CLBM.

Main Results:

  • The developed 3D CLBM implementation significantly reduces computational cost compared to nonorthogonal CLBM.
  • The method accurately incorporates general force fields, overcoming a key limitation of previous 3D CLBM.
  • Numerical simulations of force-driven flows demonstrate excellent accuracy, convergence, and adherence to the nonslip rule.

Conclusions:

  • The improved 3D CLBM offers a more efficient and accurate approach for simulating fluid dynamics.
  • The developed techniques enhance the applicability of CLBM for complex, force-driven flow problems.
  • The methodology can be extended to improve the efficiency of 3D multi-relaxation-time lattice Boltzmann methods (MRT-LBM).