Computational Fluid Dynamics Numerical Methods and Applications

1. Introduction to Computational Fluid Dynamics.  2. Classification of Fluid Flow Problems and Boundary Conditions.  3. Finite Difference Method.  4. Time-Stepping Techniques.  5. Preserving Oscillatory Accuracy in Numerical Time-Stepping.  6. Boundary Value Problems.  7. Advection Equation.  8. Diffusion Problem.  9. Stabilizing Explicit Schemes with Hyperviscosity and Filtering.  10. 2D Unsteady Parabolic Problems.  11. Linear Advection-Diffusion Equation.  12. The Viscous Burgers Equation.  13. Elliptic Partial Differential Equations and Grid Arrangement Strategies.  14. Iterative Methods for Elliptic PDEs: Laplace and Poisson Solvers.  15. Pressure-Velocity Coupling in Incompressible Flows: Finite Difference Method.  16. Classical Finite Difference Methods for Hyperbolic PDEs and Discontinuities.  17. Finite Volume Method I: Introduction.  18. Finite Volume Method II: Pressure-Velocity Coupling in Incompressible Flows.  19. Finite Volume Methods III:
Flow and Discontinuities.  20. Turbulence Models.  21. Direct and Large Eddy Simulations. Appendix I. Grid Sensitivity Analysis and Grid Convergence Index (GCI).  Appendix II. Grid Independence Analysis in LES Investigation.

Biography

Dr.-Ing. Naseem Uddin, CEng MIMechE, MIEAust CPENG, earned his PhD in aerospace engineering from Universität Stuttgart, Germany in 2008. He is a Senior Assistant Professor in the Mechanical Engineering Programme, Universiti Teknologi Brunei, Brunei (UTB), Brunei Darussalam. Previously, he worked as a full professor at NED University of Engineering and Technology, Pakistan. Dr. Uddin is a registered chartered engineer with Engineers Australia and the Institution of Mechanical Engineers, UK. He is also listed in the National Engineering Register (NER) of Australia and recognized as a professional engineer by the board of professional engineers of Queensland, Australia and by the Pakistan Engineering Council. He is a member of the American Society of Mechanical Engineers (ASME). Dr. Uddin has authored several textbooks, Fluid Mechanics: A Problem-Solving Approach; Heat Transfer: A Systematic Learning Approach; and Thermodynamics: Fundamentals and Applications, all published by CRC Press.

“This book is a comprehensive and modern textbook on Computational Fluid Dynamics. . . It covers both major families of discretization with Dual Focus on FDM and FVM. This is a significant strength, as it allows a student to understand the foundational theory (often simpler in FDM) and then apply it to practical, complex geometries using FVM. The book doesn't just focus on theory. It includes chapters on iterative solvers for elliptic equations, grid arrangements, and practical issues like stabilizing explicit schemes with filtering or hyperviscosity. The appendices on Grid Convergence Index (GCI) for verification and grid independence for LES are valuable real-world tools.”  - Wu Tao, Northwestern Polytechnical University, China