Lattice boltzmann models for hydrodynamics

The Lattice Boltzmann Models for Hydrodynamics Simulations is studied. These models are based on fundamental conservation laws and can easily treat complex boundary conditions and interfaces. However, the lattice gas models suffer from several shortcomings. To overcome these problems, we have introduced independently a simple highly efficient model: the lattice Bhatnagar-Gross-Krook model (BGK) which utilizes a simple relaxation for complicated collisions. The lattice BGK model is especially suited for the study of multiphase flows, in particular, it has great flexibility in handling the complicated thermal multiphase flows and nonlinear reaction diffusion systems. By implementing the lattice BGK model on massively parallel computers, it is likely that one could improve the understanding of physics for the complex problem area. With ever increasing applications of the Lattice Boltzmann Models in various industries, we will use the models for the studies of blood flows-interactions between Red Blood Cells (RBC) and White Blood Cells (WBC) in the process of tumor growth.