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This book gives a systematic coverage of knowledge needed for numerical computation of fluid flows and heat transfer in five parts. Part One gives a brief history of computational machinery and a presentation of the governing equations for fluid flows and heat transfer. Part Two is devoted to the principles of the finite analytic method and its development for various types of equations. Part Three concentrates on methods of coordinate generation for applications on complex domains. Part Four presents various schemes for accomplishing the task in Part Three. Examples of a wide variety of problems are provided in Part Five.
General Remarks. Governing Equations. Classification of Differential Equations. Well-Posed Problems. Numerical Methods. The Finite DIfference Method. Basic Principles. The One-Dimensional Case. The Two-Dimensional Case. The Three-Dimensional Case. Stability and Convergence. Hyperbolic PDEs. Explicit Finite Analytic Method. Introduction to Grid Generation. Elliptic Grid Generation. Equations in E and n Coordinates. Diagonal Cartesian Method. FA Method on Diagonal Cartesian Coordinates. Solving Momentum and Continuity. Non-Staggered Grid Methods. Boundary Conditions. Laminar Flows. Laminar Convective Heat Transfer. Turbulent Flows. Turbulent Convective Heat Transfer. Complex Flows. Conjugate Heat Transfer. Appendix A: The One-Dimensional Case. Appendix B: The Two-Dimensional Case. Appendix C: FA 2-D Laminar Code.