Numerical simulation of shock wave propagation using the finite difference lattice Boltzmann method

2002 ◽  
Vol 16 (10) ◽  
pp. 1327-1335 ◽  
Author(s):  
Ho-Keun Kang ◽  
Michihisa Tsutahara ◽  
Ki-Deok Ro ◽  
Young-Ho Lee
2007 ◽  
Vol 18 (04) ◽  
pp. 447-454 ◽  
Author(s):  
KUN QU ◽  
CHANG SHU ◽  
YONG TIAN CHEW

A new approach was recently proposed to construct equilibrium distribution functions [Formula: see text] of the lattice Boltzmann method for simulation of compressible flows. In this approach, the Maxwellian function is replaced by a simple function which satisfies all needed relations to recover compressible Euler equations. With Lagrangian interpolation polynomials, the simple function is discretized onto a fixed velocity pattern to construct [Formula: see text]. In this paper, the finite volume method is combined with the new lattice Boltzmann models to simulate 1D and 2D shock-wave propagation. The numerical results agree well with available data in the literatures.


2005 ◽  
Vol 78 (8) ◽  
pp. 347-352 ◽  
Author(s):  
Masakazu ENOMURA ◽  
Xiaofeng ZHANG ◽  
Michihisa TSUTAHARA ◽  
Kei TAKEBAYASHI ◽  
Masahiko ABE

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