Lattice Bhatnagar-Gross-Krook model for the Lorenz attractor

In this paper, we propose a new lattice Bhatnagar-Gross-Krook model for sim ulation of the Lorenz attractor. The new model is based on a nonlinear diff usion-reaction system. We formulate a lattice Bhatnagar-Gross-Krook model f or the nonlinear diffusion-reaction system by using a method of higher mome nts of the lattice Boltzmann equation. As a special case where the diffusio n effect disappears, we get the Lorenz equation. In the model, we obtain a series of lattice Boltzmann equations at different lime scales, and the con servation law at time scale t(0). The equilibrium distribution functions ar e simpler than those for the standard lattice Boltzmann model. The numerica l examples show that the method can be used to simulate the Lorenz equation . (C) 2001 Elsevier Science B.V. All rights reserved.