scholarly journals A lattice Boltzmann method for shock wave propagation in solids

2006 ◽  
Vol 23 (1) ◽  
pp. 71-84 ◽  
Author(s):  
Shaoping Xiao
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.


Author(s):  
J. Surya Narayana J.Murthy ◽  
Praveen Kumar Kolluru ◽  
Vishwanathan Kumaran ◽  
Santosh Ansumali

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Muming Xia ◽  
Shucheng Wang ◽  
Hui Zhou ◽  
Xiaowen Shan ◽  
Hanming Chen ◽  
...  

2003 ◽  
Vol 17 (12) ◽  
pp. 2034-2041 ◽  
Author(s):  
Ho-Keun Kang ◽  
Michihisa Tsutahara ◽  
Ki-Deok Ro ◽  
Young-Ho Lee

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