Research output: Contribution to journal › Conference article › peer-review
Stability investigation of implicit parametrical schemes for the systems of kinetic equations. / Prokhorova, Elizaveta A.; Krivovichev, Gerasim V.
In: Journal of Physics: Conference Series, Vol. 929, No. 1, 012032, 27.11.2017.Research output: Contribution to journal › Conference article › peer-review
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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 -
ID: 95201938