Steady convection: Numerical methods and schemes

This lecture covers the numerical simulation of steady convection-diffusion problems using central and upwind differencing schemes, such as CD, UD, LUD, QUICK, and MUSCL. It discusses the accuracy, boundedness, transportiveness, and conservativeness of these schemes, highlighting the trade-offs between accuracy and stability. The lecture also addresses issues like false diffusion, negative coefficients, and deferred correction to ensure positivity. Examples and comparisons between different schemes are provided to illustrate their performance in various flow conditions.