On the modification of lattice boltzmann method for the modelling of viscous incompressible flows

Author

Krivovichev, Gerasim

Author_Institution

St.-Peterburg State Univ., St. Petersburg, Russia

fYear

2014

fDate

June 30 2014-July 4 2014

Firstpage

81

Lastpage

82

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 on the planar cavity flow.

Keywords

Maxwell equations; Navier-Stokes equations; confined flow; differential equations; lattice Boltzmann methods; numerical stability; parallel algorithms; Navier-Stokes equation; computation parallelization; differential operator splitting; distribution function; explicit schemes; input parameter values; instantaneous Maxwellisation; lattice boltzmann method; method efficiency; method stability; planar cavity flow; viscous incompressible flow modelling; viscous incompressible fluid flow computation; von Neumann method; Cavity resonators; Distribution functions; Equations; Lattice Boltzmann methods; Mathematical model; Thermal stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Technologies in Physical and Engineering Applications (ICCTPEA), 2014 International Conference on

Conference_Location

St. Petersburg

Print_ISBN

978-1-4799-5315-8

Type

conf

DOI

10.1109/ICCTPEA.2014.6893291

Filename

6893291