Slip-flow boundary condition for straight walls in the lattice Boltzmann model

2006 ◽  
Vol 73 (6) ◽  
Author(s):  
Lajos Szalmás
Keyword(s):  
Boundary Condition ◽  
Lattice Boltzmann ◽  
Slip Flow ◽  
Lattice Boltzmann Model ◽  
Flow Boundary ◽  
Boltzmann Model

SLIP ON CURVED BOUNDARIES IN THE LATTICE BOLTZMANN MODEL

2007 ◽  
Vol 18 (01) ◽  
pp. 15-24 ◽  
Author(s):  
LAJOS SZALMÁS
Keyword(s):  
Couette Flow ◽  
Lattice Boltzmann ◽  
Slip Flow ◽  
Distribution Functions ◽  
Lattice Boltzmann Model ◽  
Momentum Balance ◽  
Curved Boundaries ◽  
Cylindrical Couette Flow ◽  
Boltzmann Method ◽  
Boltzmann Model

We present a new boundary condition in the lattice Boltzmann method to model slip flow along curved boundaries. A requirement is formulated for the distribution functions based on the tunable momentum balance at the walls, which is shown to be equivalent to the constraint on the second moment. Numerical simulation of plane Couette flow in inclined channels and cylindrical Couette flow shows excellent agreement with the analytical results in the nearly continuum regime. Orientation effects on the velocity field are completely avoided.

Impedance Boundary Condition for Lattice Boltzmann Model

2013 ◽  
Vol 13 (3) ◽  
pp. 757-768 ◽  
Author(s):  
Chenghai Sun ◽  
Franck Pérot ◽  
Raoyang Zhang ◽  
David M. Freed ◽  
Hudong Chen
Keyword(s):  
Boundary Condition ◽  
Lattice Boltzmann ◽  
Complex Geometry ◽  
Lattice Boltzmann Model ◽  
Impedance Boundary Condition ◽  
Normal Velocity ◽  
Flow Tube ◽  
Impedance Boundary ◽  
Grazing Flow ◽  
Boltzmann Model

AbstractA surface based lattice Boltzmann impedance boundary condition (BC) using Ozyoruk’s model [J. Comput. Phys., 146 (1998), pp. 29-57] is proposed and implemented in PowerFLOW. In Ozyoruk’s model, pressure fluctuation is directly linked to normal velocity on an impedance surface. In the present study, the relation between pressure and normal velocity is realized precisely by imposing a mass flux on the surface. This impedance BC is generalized and can handle complex geometry. Combined with the turbulence model in the lattice Boltzmann solver PowerFLOW, this BC can be used to model the effect of a liner in presence of a complex 3D turbulent flow. Preliminary simulations of the NASA Langley grazing flow tube and Kundt tube show satisfying agreement with experimental results.

Numerical simulation of Neumann boundary condition in the thermal lattice Boltzmann model

2014 ◽  
Vol 25 (08) ◽  
pp. 1450027 ◽  
Author(s):  
Q. Chen ◽  
X. B. Zhang ◽  
J. F. Zhang
Keyword(s):  
Boundary Condition ◽  
Finite Difference ◽  
Lattice Boltzmann ◽  
Neumann Boundary Condition ◽  
Neumann Boundary ◽  
Extrapolation Method ◽  
Lattice Boltzmann Model ◽  
Boundary Method ◽  
Thermal Lattice Boltzmann ◽  
Boltzmann Model

In this paper, a bilinear interpolation finite-difference scheme is proposed to handle the Neumann boundary condition with nonequilibrium extrapolation method in the thermal lattice Boltzmann model. The temperature value at the boundary point is obtained by the finite-difference approximation, and then used to determine the wall temperature via an extrapolation. Our method can deal with the boundaries with complex geometries, motions and gradient boundary conditions. Several simulations are performed to examine the capacity of this proposed boundary method. The numerical results agree well with the analytical solutions. When compared with a representative boundary method, an improved performance is observed. The results also show that the proposed scheme together with nonequilibrium extrapolation method has second-order accuracy.

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