Phys Rev E Stat Nonlin Soft Matter Phys
October 2010
We introduce a scheme which gives rise to additional degree of freedom for the same number of discrete velocities in the context of the lattice Boltzmann model. We show that an off-lattice D3Q27 model exists with correct equilibrium to recover Galilean-invariant form of Navier-Stokes equation (without any cubic error). In the first part of this work, we show that the present model can capture two important features of the microflow in a single component gas: Knudsen boundary layer and Knudsen Paradox.
View Article and Find Full Text PDFPhys Rev E Stat Nonlin Soft Matter Phys
July 2008