5. Computational Fluid Dynamics

This chapter delves into the advanced numerical technique of Computational Fluid Dynamics (CFD), which is essential for solving complex flow situations with intricate geometries and boundary conditions. It discusses the need for CFD in the engineering industry, where it serves as a valuable tool for research and design optimization. The chapter explores different types of partial differential equations and their classifications, including elliptic, parabolic, and hyperbolic equations. It also covers the discretization methods used in CFD, such as the Finite Difference (FD) method, Finite Volume (FV) method, and Finite Element (FE) method. A practical example of using the FD technique to solve a simple potential flow through a duct is provided, illustrating the step-by-step process of setting up and solving the problem. The chapter concludes by emphasizing the balance between accuracy and computational resources in CFD analyses.