Introduction to Computational Fluid Dynamics (CFD)

Computational Fluid Dynamics (CFD) is an essential tool in modern engineering, allowing us to simulate and analyze how liquids and gases interact with surfaces. This text-based course is designed to demystify the complex mathematics and physics behind fluid simulations, guiding you from foundational principles to practical numerical setups. You will gain a clear conceptual understanding of fluid behavior and the computational algorithms used to solve real-world engineering problems. By reading through our structured lessons, you will transition from a complete beginner to a confident practitioner who understands how CFD solvers operate under the hood. You will learn to formulate, discretize, and solve fluid flow equations without relying on black-box software. What you'll learn: - Understand the core physical principles of fluid dynamics, including conservation laws for mass, momentum, and energy - Master the mathematical classification of partial differential equations and their impact on numerical stability - Apply finite difference and finite volume discretization techniques to model heat transfer and fluid flow - Configure boundary conditions correctly to ensure accurate, physically realistic simulation results - Analyze numerical error, convergence, and stability criteria to verify the quality of your computational grids - Explore modern CFD concepts including basic turbulence modeling and iterative solver algorithms This course begins with a thorough introduction to essential terminology, governing differential equations, and vector calculus basics. From there, you will progress through structured chapters covering grid generation, discretization schemes, and pressure-velocity coupling algorithms, supported by clear mathematical derivations and code-like logic workflows. This course is designed for engineering students, researchers, and self-taught developers who want a solid mathematical and physical foundation in fluid simulation. No prior experience with CFD software is required, though a basic understanding of calculus and physics is recommended. Start reading today to unlock the mathematical foundations of computational fluid flow simulation.