"Approximation viscosity of oneparameter families of lattice Boltzmann
equations"
Krivovichev G.V. and Prokhorova E.A. 
A number of properties of parametric lattice Boltzmann schemes are considered. The ChapmanEnskog method is used to derive a system of equations for hydrodynamic variables and to obtain an expression for the approximation viscosity from the differential approximation of the schemes. It is shown that there exists the numerical viscosity that should be taken into account during numerical computations. Necessary stability conditions are obtained from the nonnegativity condition for the approximation viscosity. The possibility of computations using the proposed schemes is demonstrated by the numerical solution of the liddriven cavity flow problem when the standard lattice Boltzmann equation is inapplicable. Keywords: lattice Boltzmann method, approximation viscosity, stability.

