Diffuse reflection boundary condition for high-order lattice Boltzmann models with streaming–collision mechanism

2014 ◽  
Vol 258 ◽  
pp. 601-612 ◽  
Author(s):  
Jianping Meng ◽  
Yonghao Zhang
Keyword(s):  
Boundary Condition ◽  
Lattice Boltzmann ◽  
Diffuse Reflection ◽  
High Order ◽  
Lattice Boltzmann Models ◽  
Collision Mechanism ◽  
Reflection Boundary

Lattice Boltzmann models based on Gauss quadratures

2014 ◽  
Vol 25 (12) ◽  
pp. 1441011 ◽  
Author(s):  
Victor E. Ambruş ◽  
Victor Sofonea
Keyword(s):  
Distribution Function ◽  
Lattice Boltzmann ◽  
Diffuse Reflection ◽  
Equilibrium Distribution ◽  
Three Dimensional ◽  
Equilibrium Distribution Function ◽  
Quadrature Method ◽  
Lattice Boltzmann Models ◽  
Thermal Lattice Boltzmann ◽  
Reflection Boundary

The Gauss–Laguerre quadrature method is used to construct three-dimensional thermal Lattice Boltzmann models that exactly recover integrals of the equilibrium distribution function over Cartesian octants of the momentum space. We illustrate the capability of these models to exactly implement the diffuse reflection boundary conditions by considering the Couette flow at various values of the Knudsen number.

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