Navier-Stokes Equations: Numerical Flow Simulation

This lecture covers the Navier-Stokes equations, focusing on the challenges and solutions in numerical flow simulation. Topics include coupled equations, pressure checkerboard issues, and the implementation of staggered grids to improve accuracy and stability. The instructor explains the discretization of momentum and continuity equations in 1D and 2D, emphasizing the importance of maintaining physical consistency in computational fluid dynamics.