scholarly journals Shaping the equation of state to improve numerical accuracy and stability of the pseudopotential lattice Boltzmann method

2022 ◽  
Vol 105 (1) ◽  
Author(s):  
Luiz Eduardo Czelusniak ◽  
Vinícius Pessoa Mapelli ◽  
Alexander J. Wagner ◽  
Luben Cabezas-Gómez
Keyword(s):  
Equation Of State ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Numerical Accuracy ◽  
Boltzmann Method ◽  
Accuracy And Stability

Improving the Stability of the Multiple-Relaxation-Time Lattice Boltzmann Method by a Viscosity Counteracting Approach

2015 ◽  
Vol 8 (1) ◽  
pp. 37-51 ◽  
Author(s):  
Chunze Zhang ◽  
Yongguang Cheng ◽  
Shan Huang ◽  
Jiayang Wu
Keyword(s):  
Reynolds Number ◽  
Relaxation Time ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Numerical Instability ◽  
Time Model ◽  
Multiple Relaxation Time ◽  
The Stability ◽  
Boltzmann Method ◽  
Accuracy And Stability

AbstractNumerical instability may occur when simulating high Reynolds number flows by the lattice Boltzmann method (LBM). The multiple-relaxation-time (MRT) model of the LBM can improve the accuracy and stability, but is still subject to numerical instability when simulating flows with large single-grid Reynolds number (Reynolds number/grid number). The viscosity counteracting approach proposed recently is a method of enhancing the stability of the LBM. However, its effectiveness was only verified in the single-relaxation-time model of the LBM (SRT-LBM). This paper aims to propose the viscosity counteracting approach for the multiple-relaxation-time model (MRT-LBM) and analyze its numerical characteristics. The verification is conducted by simulating some benchmark cases: the two-dimensional (2D) lid-driven cavity flow, Poiseuille flow, Taylor-Green vortex flow and Couette flow, and three-dimensional (3D) rectangular jet. Qualitative and Quantitative comparisons show that the viscosity counteracting approach for the MRT-LBM has better accuracy and stability than that for the SRT-LBM.

A NUMERICAL STUDY ON PREMIXED MICROCOMBUSTION BY LATTICE BOLTZMANN METHOD

2012 ◽  
Vol 23 (05) ◽  
pp. 1250037 ◽  
Author(s):  
ZHIWEI TIAN ◽  
YUNLIANG TAN ◽  
SHENG CHEN
Keyword(s):  
Boundary Condition ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Numerical Study ◽  
External Heat ◽  
Heat Losses ◽  
Numerical Tests ◽  
Great Progress ◽  
Boltzmann Method ◽  
Accuracy And Stability

Lattice Boltzmann method (LBM) has made great progress in the last decade, and its application became wider and wider. In this paper, based on our former combustion LBM model on the macroscale, we attempt to extend it into premixed microcombustion simulation. Considering the external heat losses in microcombustion, the second-order implicit scheme for boundary condition treatment was adopted in our LBM model. Numerical tests have proved that its accuracy and stability were suitable. Furthermore, planar microcombustion with backward-facing step was also studied in order to show its different performances and improvement, which are compared with microcombustor without back step.

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