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 computational fluid dynamics, 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 solution manual for the instructors"--

<P><P>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.</P>