Advection-Diffusion Equations: Explicit 2-Level Scheme

This lecture covers the construction of finite elements, advection-diffusion equations, and the explicit 2-level scheme. It discusses stability, numerical diffusion, and the CFL parameter. The instructor demonstrates the stability limit empirically and presents the numerical stability criteria. The lecture also explores the transport of scalar quantities, incompressible cases, and the conservation of mass. The explicit scheme is tested for advection, and the lecture emphasizes the importance of stability in numerical simulations.