Modification of the lattice Boltzmann method for the computations of viscid incompressible fluid flows

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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.

Keywords: lattice Boltzmann method, splitting method
Citation in English: Krivovichev G.V. Modification of the lattice Boltzmann method for the computations of viscid incompressible fluid flows // Computer Research and Modeling, 2014, vol. 6, no. 3, pp. 365-381
Citation in English: Krivovichev G.V. Modification of the lattice Boltzmann method for the computations of viscid incompressible fluid flows // Computer Research and Modeling, 2014, vol. 6, no. 3, pp. 365-381
DOI: 10.20537/2076-7633-2014-6-3-365-381
According to Crossref, this article is cited by:
  • Gerasim Vladimirovich Krivovichev. Stability investigation of finite-difference schemes of lattice Boltzmann method for diffusion modelling. // Computer Research and Modeling. 2016. — V. 8, no. 3. — P. 485. DOI: 10.20537/2076-7633-2016-8-3-485-500
  • Gerasim Vladimirovich Krivovichev. Kinetic equations for modelling of diffusion processes by lattice Boltzmann method. // Computer Research and Modeling. 2017. — V. 9, no. 6. — P. 919. DOI: 10.20537/2076-7633-2017-9-6-919-936
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Citations: 5 (RSCI).

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