CFD with Examples: A Comprehensive Guide to Computational Fluid Dynamics With Practical Examples and Video Tutorials

“CFD with Examples” is a learner-friendly video book that introduces computational fluid dynamics through a clear sequence of theory, numerics, and real-world applications, supported throughout by worked examples and QR-linked lectures.

What the book offers

The book is structured as a self-paced CFD tutorial, beginning with the classification of partial differential equations and Taylor series, then progressing to convergence, stability, and a full finite difference treatment of fluid flow problems. Each module starts with a short “why this matters” note, followed by concise explanations and step-by-step derivations that help readers connect mathematics to numerical algorithms. QR codes in every module give direct access to companion video lectures, transforming the PDF into a blended learning workbook rather than a static text.

Modules and methods covered

Early modules build the mathematical foundation, covering linear PDE types, Taylor series expansion, and core ideas of stability, convergence, CFL condition, von Neumann analysis, and the Lax Equivalence Theorem. Mid-level modules focus on elliptic and parabolic PDEs, demonstrating both direct discretisation and iterative solvers such as Gauss–Seidel and Lieberman methods, with attention to convergence behaviour and computational effort. Advanced numerical tools like the Crank–Nicholson scheme, Richardson extrapolation, and a dedicated finite difference method module show how accuracy, stability, and grid refinement come together in practical CFD modelling.

Applied learning and case study

Beyond theory, the book culminates in a complete case study where CFD is combined with multi-criteria decision-making to support flood forecasting in water-resources systems. This example demonstrates how numerical schemes and discretisation choices lead to actionable predictions for real engineering problems, especially in hydroinformatics and environmental applications. A full module of solved numericals, organized around Crank–Nicholson and finite difference formulations, gives readers templates for setting up their own problems and checking intermediate steps.

Intended audience and use

“CFD with Examples” assumes familiarity with calculus, differential equations, linear algebra, and basic programming, making it suitable for senior undergraduates, postgraduate students, and early-career engineers stepping into CFD for the first time. Its hybrid design—readable notes plus guided videos and worked problems—makes it particularly valuable for self-learners and instructors looking for a structured, classroom-ready CFD primer. The emphasis on water resources and flood forecasting also makes the book especially relevant for students and professionals in water resources engineering, environmental engineering, and hydroinformatics.