Computational Fluid Dynamics for Incompressible Flows

Simulating how fluids behave is essential for modern engineering, from designing efficient vehicles to optimizing industrial piping systems. This text-only course provides a clear, conceptual path to understanding Computational Fluid Dynamics (CFD) specifically tailored for incompressible flows. You will start with the absolute basics, learning the core physics, mathematical equations, and modern numerical techniques required to model fluid behavior accurately. By working through this course, you will transition from understanding fluid mechanics theory to formulating and solving discretized flow equations. You will gain a solid grasp of how to translate physical flow phenomena into structured computational algorithms. What you'll learn: - Understand the governing Navier-Stokes equations for incompressible flows - Apply finite difference and finite volume discretization methods to transport equations - Configure pressure-velocity coupling algorithms such as SIMPLE and PISO - Implement boundary conditions correctly to ensure physical accuracy and stability - Practice structured grid generation techniques and analyze numerical stability - Explore modern CFD practices including basic code structure and verification workflows The course begins with foundational fluid dynamics definitions and the mathematical classification of partial differential equations. Next, you will progress through grid generation, discretization strategies, and iterative solvers, concluding with hands-on algorithm formulation for real-world engineering problems. This course is designed for engineering students, researchers, and self-taught programmers who want a structured, text-based introduction to CFD without complex prerequisites. Start reading today to unlock the principles of computational fluid simulation.