Finite Volume Method for Convection and Diffusion - Discretization of Steady Convection Equation

Explore the Finite Volume Method for Convection and Diffusion in this 45-minute lecture focusing on the discretization of steady convection equations. Delve into the implementation of upwind difference schemes for convection terms and compare the order of accuracy between central difference schemes (CDS) and upwind difference schemes (UDS). Examine an example problem on pure convection and learn about steady convection and diffusion equations. Cover key topics including the introduction, agenda, upwind difference scheme, positive flow rates, max function, convection-diffusion, order of accuracy, and applications in square domains.

Introduction
Agenda
Upwind Difference Scheme
If Fe is positive
Max function
Convection
Diffusion
Order of accuracy
Square domain