Time Integration: Numerical Flow Simulation

This lecture covers time integration methods for numerical flow simulation, including the general conservation equation, steady/unsteady diffusion, and various methods for solving ordinary differential equations. It also discusses the implicit and explicit Euler methods, the Crank-Nicolson method, linear multistep methods, Adams family methods, Backward-differentiation formula family methods, and multistage methods like the Runge-Kutta method. The lecture emphasizes the importance of accurate time integration in numerical simulations to ensure reliable results.