scholarly journals Central moment lattice Boltzmann method on a rectangular lattice

2021 ◽  
Vol 33 (5) ◽  
pp. 057110
Author(s):  
Eman Yahia ◽  
Kannan N. Premnath
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Central Moment ◽  
Rectangular Lattice ◽  
Boltzmann Method

MRT RECTANGULAR LATTICE BOLTZMANN METHOD

2012 ◽  
Vol 23 (05) ◽  
pp. 1250040 ◽  
Author(s):  
JIAN GUO ZHOU
Keyword(s):  
Relaxation Time ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Standard Procedure ◽  
Accurate Solution ◽  
Square Lattice ◽  
Rectangular Lattice ◽  
Complex Flow ◽  
Dominant Feature ◽  
Boltzmann Method

A multiple-relaxation-time (MRT) collision operator is introduced into the author's rectangular lattice Boltzmann method for simulating fluid flows. The model retains both the advantages and the standard procedure of using a constant transformation matrix in the conventional MRT scheme on a square lattice, leading to easy implementation in the algorithm. This allows flow problems characterized by dominant feature in one direction to be solved more efficiently. Two numerical tests have been carried out and shown that the proposed model is able to capture complex flow characteristics and generate an accurate solution if an appropriate lattice ratio is used. The model is found to be more stable compared to the original rectangular lattice Boltzmann method using the single relaxation time.

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