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.

Original languageEnglish
Article number012032
JournalJournal of Physics: Conference Series
Volume929
Issue number1
DOIs
StatePublished - 27 Nov 2017
EventInternational Conference PhysicA.SPb 2016 - Saint-Petersburg, Russian Federation
Duration: 1 Nov 20163 Nov 2016

    Scopus subject areas

  • Physics and Astronomy(all)

ID: 95201938