Erratum to: A Dirichlet boundary condition for the thermal lattice Boltzmann method

2020 ◽  
Vol 131 ◽  
pp. 103381
Author(s):  
Y. Chen ◽  
A. Pantokratoras ◽  
C.R. Müller
Keyword(s):  
Boundary Condition ◽  
Lattice Boltzmann Method ◽  
Dirichlet Boundary Condition ◽  
Lattice Boltzmann ◽  
Dirichlet Boundary ◽  
Boltzmann Method ◽  
Thermal Lattice Boltzmann

scholarly journals Involving the Navier–Stokes equations in the derivation of boundary conditions for the lattice Boltzmann method

2011 ◽  
Vol 369 (1944) ◽  
pp. 2184-2192 ◽  
Author(s):  
Joris C. G. Verschaeve
Keyword(s):  
Boundary Condition ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Stokes Equations ◽  
Slip Boundary Condition ◽  
Navier Stokes ◽  
Grid Spacing ◽  
Navier Stokes Equations ◽  
Slip Boundary ◽  
Boltzmann Method

By means of the continuity equation of the incompressible Navier–Stokes equations, additional physical arguments for the derivation of a formulation of the no-slip boundary condition for the lattice Boltzmann method for straight walls at rest are obtained. This leads to a boundary condition that is second-order accurate with respect to the grid spacing and conserves mass. In addition, the boundary condition is stable for relaxation frequencies close to two.

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