Solving Incompressible Navier-Stokes Flow

This code implements a numerical solution for incompressible Navier-Stokes flow using MATLAB. The implementation employs finite difference or finite volume methods for spatial discretization, combined with projection methods (such as SIMPLE algorithm) or fractional-step methods for pressure-velocity coupling. The code can simulate various fluid dynamics phenomena including turbulent flows, boundary layer dynamics, and rotational flows. It calculates key physical parameters like velocity fields, pressure distribution, density variations, and temperature profiles, while capturing flow characteristics such as vortex structures and turbulence intensity. The algorithm incorporates time-marching schemes (explicit/implicit) for transient simulations and supports multiphase flow modeling with interface tracking methods. Additionally, it includes capabilities for simulating chemical reactions through species transport equations, enabling analysis of fluid interactions and reactive processes. The code architecture features modular design with separate functions for boundary condition handling, linear system solvers, and post-processing visualization tools, making it a versatile and powerful computational fluid dynamics tool for solving diverse fluid mechanics problems.