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This book offers a practical, application-oriented introduction to computational fluid dynamics (CFD), with a focus on the concepts and principles encountered when using CFD in industry.

Presuming no more knowledge than college-level understanding of the core subjects, the book puts together all the necessary topics to give the reader a comprehensive introduction to CFD. It includes discussion of the derivation of equations, grid generation and solution algorithms for compressible, incompressible and hypersonic flows. The final two chapters of the book are intended for the more advanced user. In the penultimate chapter, the special difficulties that arise while solving practical problems are addressed. Distinction is made between complications arising out of geometrical complexity and those arising out of the complexity of the physics (and chemistry) of the problem. The last chapter contains a brief discussion of what can be considered as the Holy Grail of CFD, namely, finding the optimal design of a fluid flow component. A number of problems are given at the end of each chapter to reinforce the concepts and ideas discussed in that chapter.

CFD has come of age and is widely used in industry as well as in academia as an analytical tool to investigate a wide range of fluid flow problems. This book is written for two groups: for those students who are encountering CFD for the first time in the form of a taught lecture course, and for those practising engineers and scientists who are already using CFD as an analysis tool in their professions but would like to deepen and broaden their understanding of the subject.

Computational Fluid Dynamics for Engineers and Scientists

Preface. Table of contents.

1. INTRODUCTION. 1.1 The case of flow in a duct of rectangular cross-section. 1.2 The case of flow in a duct of triangular cross-section. 1.3 CFD for the more generic case of fluid flow. Problems.

2. EQUATIONS GOVERNING FLUID MOTION. 2.1 Basic concepts of fluid flow. 2.2 Laws governing fluid motion. 2.3 Boundary conditions and well-posedness. 2.4 Chapter summary. Problems.

3. BASIC CONCEPTS OF CFD. 3.1 The finite difference method. 3.2 Analysis of discretized equations. 3.3 Application to the generic scalar transport equation. 3.4 Dissipation and dispersion errors. 3.5 Control of oscillations. 3.6 Chapter summary. Problems.

4. SOLUTION OF NAVIER STOKES EQUATIONS. 4.1 Extension of stability analysis to coupled nonlinear equations. 4.2 Solution of coupled equations for compressible flows. 4.3 Computation of supersonic flows. 4.4 Solution methods for incompressible flows. 4.5 Coupled and sequential or segregated solvers.  4.6 Chapter summary. Problems.

5. SOLUTION OF LINEARIZED ALGEBRAIC EQUATIONS. 5.1 Need for speed. 5.2 Direct methods. 5.3 Basic iterative methods. 5.4 Convergence analysis of classical iterative methods. 5.5 Advanced iterative methods. 5.6 Chapter summary. Problems.

6. DEALING WITH IRREGULAR FLOW DOMAINS AND COMPLEX PHYSICAL PHENOMENA. 6.1 Dealing with irregular geometries. 6.2 The body-fitted grid approach. 6.3 The unstructured grid approach. 6.4 Dealing with complex physics. 6.5 Chapter summary. Problems. 

7. CFD AND FLOW OPTIMIZATION. 7.1 Formulation of the optimization problem. 7.2 Iterative search method for optimization problems. 7.3 Case studies of shape optimization. 7.4 Issues in shape optimization. 7.5 Chapter summary. Problems.

References. Index.