Lattice Boltzmann Method

This MATLAB program implements the Lattice Boltzmann Method (LBM) specifically designed for computational analysis of fluid properties in porous media. The Lattice Boltzmann Method is a mesoscopic computational approach based on kinetic theory that simulates fluid particle movement and interactions through discrete lattice structures and simplified collision operators. The implementation leverages D2Q9 or D3Q19 lattice models to capture fluid dynamics, with the Bhatnagar-Gross-Krook (BGK) collision approximation handling particle interactions efficiently. Key functions include velocity distribution initialization, streaming processes that propagate particles to neighboring nodes, and collision operations that redistribute particle populations. Researchers and engineers can utilize this code to study various porous media fluid characteristics, with applications spanning industrial simulations and scientific investigations. When executing the program, ensure proper configuration of essential parameters including lattice dimensions, relaxation time, fluid viscosity, and boundary conditions to maintain computational accuracy.