Abstract:
Modification of the lattice Boltzmann method for computation of viscous incompressible fluid flows is proposed. The method is based on the splitting of differential operator in Navier-Stokes equation and on the idea of instantaneous Maxwellisation of distribution function. The method is based on explicit schemes and didn't have any problems with parallelization of computations. The stability of the method is demonstrated using von Neumann method in a wide range of input parameter values. The efficiency of the method proposed is demonstrated on the solution of the problem of 2D lid-driven cavity flow.
Citation:
G. V. Krivovichev, “Modification of the lattice Boltzmann method for the computations of viscid incompressible fluid flows”, Computer Research and Modeling, 6:3 (2014), 365–381
\Bibitem{Kri14}
\by G.~V.~Krivovichev
\paper Modification of the lattice Boltzmann method for the computations of viscid incompressible fluid flows
\jour Computer Research and Modeling
\yr 2014
\vol 6
\issue 3
\pages 365--381
\mathnet{http://mi.mathnet.ru/crm328}
\crossref{https://doi.org/10.20537/2076-7633-2014-6-3-365-381}
Linking options:
https://www.mathnet.ru/eng/crm328
https://www.mathnet.ru/eng/crm/v6/i3/p365
This publication is cited in the following 2 articles:
G. V. Krivovichev, “Kineticheskie uravneniya dlya modelirovaniya diffuzionnykh protsessov metodom reshetochnykh uravnenii Boltsmana”, Kompyuternye issledovaniya i modelirovanie, 9:6 (2017), 919–936
G. V. Krivovichev, “Issledovanie ustoichivosti raznostnykh skhem metoda reshetochnykh uravnenii Boltsmana dlya modelirovaniya diffuzii”, Kompyuternye issledovaniya i modelirovanie, 8:3 (2016), 485–500
Citation in format AMSBIB
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