Vortex Dynamics Foundations, Theory, and Applications

Book Abstract

This book comprehensively explores numerical methods and their applications across diverse ?elds, strongly focusing on computational ?uid dynamics(CFD) and advanced modeling techniques. Starting with numerical approaches for solving the viscid and inviscid Burgers equations establishes a foundation for understanding complex ?uid dynamics. Subsequent chapters delve into cutting-edge topics, including Large Eddy Simulations (LES) for turbulence modeling, heat transfer analysis, and the in?uence of working ?uids on vortex dynamics in industrial pipelines. The book also explores emerging areas such as nanoscale simulations, plasmonic excitations, and biomedical applications like hemodynamics in atrial ?brillation. Real-world case studies and practical examples demonstrate the versatility of CFD in addressing challenges in engineering, biology, and energy systems. This book combines theoretical rigour with practical insights and is designed for advanced undergraduate and graduate students, researchers, and professionals. It bridges the gap between numerical theory and real-world applications, providing readers with the tools to solve complex problems across various scienti?c and engineering domains.Whether you?re looking to deepen your understanding of numerical methods,enhance your CFD expertise, or explore innovative applications, this book is a valuable resource for gaining actionable insights and fostering innovation in computational modeling.