Computational Fluid Dynamics for Incompressible Flows
This textbook covers fundamental and advanced concepts of computational fluid dynamics, a powerful and essential tool for fluid flow analysis. It discusses various governing equations used in the field, their derivations, and the physical and mathematical significance of partial differential equations and the boundary conditions. It covers fundamental concepts of finite difference and finite volume methods for diffusion, convection-diffusion problems both for cartesian and non-orthogonal grids. The solution of algebraic equations arising due to finite difference and finite volume discretization are highlighted using direct and iterative methods. Pedagogical features including solved problems and unsolved exercises are interspersed throughout the text for better understanding. The textbook is primarily written for senior undergraduate and graduate students in the field of mechanical engineering and aerospace engineering, for a course on computational fluid dynamics and heat transfer. The textbook will be accompanied by teaching resources including a solution manual for the instructors.
- Written clearly and with sufficient foundational background to strengthen fundamental knowledge of the topic.
- Offers a detailed discussion of both finite difference and finite volume methods.
- Discusses various higher-order bounded convective schemes, TVD discretisation schemes based on the flux limiter essential for a general purpose CFD computation.
- Discusses algorithms connected with pressure-linked equations for incompressible flow.
- Covers turbulence modelling like k-ε, k-ω, SST k-ω, Reynolds Stress Transport models.
- A separate chapter on best practice guidelines is included to help CFD practitioners.
Table of Contents
1. Overview of CFD. 2. Governing Equations and Classification of PDE. 3. Finite Difference Method - Fundamentals. 4. Finite Difference Methods - Application. 5. Finite Volume Method. 6. Solution of Incompressible Navier-Stokes Equations. 7. Finite Volume Method for Complex Geometries. 8. Solution of Algebraic Equations. 9. Turbulence Modelling. 10. Grid Generation. 11. Best Practice Guidelines in CFD. Appendix 1. Area and Volume Calculation. Appendix 2. Transformation of Governing Equations to Generalized Curvilinear Coordinates. Appendix 3. Review of Vector Calculus. Appendix 4. Case Studies. References. Index.
D. G. Roychowdhury is currently working as executive director at the Sharda Group of Institutions, Agra, India. He received his Ph.D. from the Indian Institute of Technology, Madras,, India. Before joining the Sharda Group, he worked as Scientist at the Indira Gandhi Centre for Atomic Research, Kalpakkam, India; as a Research Associate at the University of Warwick, in England; and as Professor and Dean at the Hindustan Institute of Technology & Science, Chennai, India. His research areas include computational fluid dynamics, heat transfer, and thermal-hydraulic analysis of fast reactor core under normal and off-normal events. He has taught courses including thermodynamics, fluid mechanics, advanced fluid mechanics and computational fluid dynamics at undergraduate and graduate level. He has authored several research papers in peer reviewed journals.