TY - JOUR

T1 - Stability investigation of implicit parametrical schemes for the systems of kinetic equations

AU - Prokhorova, Elizaveta A.

AU - Krivovichev, Gerasim V.

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2017/11/27

Y1 - 2017/11/27

N2 - Systems of parametrical lattice Boltzmann equations (LBE's) are considered. The formulae for the apparent viscosity for the general representation of these systems is obtained by Chapman - Enskog asymptotic expansion on Knudsen number. Obtained expression represents viscosity as a function of the relaxation parameter and parameter of the LBE's. Necessary stability conditions in form of inequalities are derived from the non-negativity condition of the apparent viscosity. The validity of the stability conditions are demonstrated by the solution of lid-driven cavity flow problem.

AB - Systems of parametrical lattice Boltzmann equations (LBE's) are considered. The formulae for the apparent viscosity for the general representation of these systems is obtained by Chapman - Enskog asymptotic expansion on Knudsen number. Obtained expression represents viscosity as a function of the relaxation parameter and parameter of the LBE's. Necessary stability conditions in form of inequalities are derived from the non-negativity condition of the apparent viscosity. The validity of the stability conditions are demonstrated by the solution of lid-driven cavity flow problem.

UR - http://www.scopus.com/inward/record.url?scp=85039077302&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/929/1/012032

DO - 10.1088/1742-6596/929/1/012032

M3 - Conference article

AN - SCOPUS:85039077302

VL - 929

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012032

T2 - International Conference PhysicA.SPb 2016

Y2 - 1 November 2016 through 3 November 2016

ER -