On one variant of the lattice Boltzmann equation method
Modiﬁcation of the lattice Boltzmann method is considered. The modiﬁed method is based on splitting of diﬀerential operator in Navier–Stokes equation and on the idea of instantaneous Maxwellisation of the distribution function. The problems for the system of lattice kinetic equations and for the system of linear diﬀusion equations are solved while one time step is realized. The eﬃciency of the method proposed in comparison with the ordinary lattice Boltzmann equation method is demonstrated on the solution of the problem of planar ﬂow in cavern in wide range of Reynolds number and various grid resolution.