Computational Fluid Dynamics

This book offers a comprehensive exploration of computational fluid dynamics (CFD) methods, focusing on numerical techniques for solving fluid flow problems through both finite difference and finite-volume methods. It explores numerical schemes, advection-diffusion equations, shock-capturing methods, and turbulence modeling.

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.

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.