Solving the linear system: Direct methods

This lecture covers the process of solving a linear system in numerical flow simulation, including the structure of the matrix, direct vs. iterative methods, and specifically focuses on the Gaussian elimination method and the TDMA algorithm for tridiagonal systems. The instructor explains the steps involved in these methods, from forward elimination to backward substitution, and how they are applied to 1D and 2D/3D structured meshes in flow simulations.