Title :
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
fDate :
June 30 2014-July 4 2014
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;
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
DOI :
10.1109/ICCTPEA.2014.6893291
