Two-Phase Flow in Fluid Dynamics: An LBM Implementation

Two-phase flow problems in fluid mechanics have consistently remained a focal point of research. The Lattice Boltzmann Method (LBM) is a widely used numerical approach for solving flow problems, particularly effective in simulating two-phase flow scenarios. This MATLAB implementation of two-phase flow using LBM not only helps beginners understand fundamental fluid dynamics theories but also provides deeper insights into solving complex multiphase problems. The program implements key LBM components including collision and streaming operations, with specific handling for phase interfaces through appropriate force terms or color-gradient models. Through hands-on experience with this code, users can master LBM application techniques, enhance programming skills in scientific computing, and understand boundary condition implementations. Familiarity with two-phase flow problems in fluid mechanics serves as essential foundation for advanced research in related fields. The code structure typically includes initialization routines, equilibrium distribution calculations, and visualization modules for tracking interface evolution between phases.