The Lattice Boltzmann Method (LBM) project aims to expand the capabilities of LBM to simulate complex fluid dynamics, particularly focusing on associating fluids such as water and primary alcohols. By integrating advanced equations of state like the Cubic-Plus-Association (CPA) EOS and employing optimization algorithms, the project enhances the accuracy and reliability of LBM simulations. Key contributions include improved thermodynamic consistency, reduced spurious velocities, and better alignment with experimental data. These advancements make LBM a powerful tool for applications in chemical and energy processes, biological systems, and porous media, providing deeper insights into the behavior of complex fluid systems.