Computational Methods in Mechanics & Thermal Sciences

Scope of the Book, Methods of Prediction, Outline of the Book, 2 Mathematical Description of Physical Phenomena, Governing Differential Equations, Nature Coordinates, 3 Discretization Methods, The Nature of Numerical Methods, Methods of Deriving the Discretization Equations, An Illustrative Example, The Four Basic Rules, Closure, 4 Heat Conduction, Objectives of the Chapter, Steady One-dimensional Conduction, Unsteady One-dimensional Conduction, Two- and Three-dimensional Situations, Overrelaxatioin and Underrelaxation, Some Geometric Considerations, Closure, 5 Convection and Diffusion, The Task, Steady One-dimensional Convection and Diffusion, Discretization Equation for Two Dimensions, Discretization Equation for Three Dimensions, A One-Way Space Coordinate, False Diffusion, Closure, 6 Calculation of the Flow Field, Some Related Difficulties, A Remedy: The Staggered Grid, The Momentum Equation, The Pressure and Velocity Corrections, The Pressure-Correction Equation, The SIMPLE Algorithm, A Revised Algorithm: SIMPLER, 7 Finishing Touches, The Iterative Nature of the Procedure, Source-Term Linearization, Irregular Geometries, Suggestions for Computer-Program Preparation and Testing, 8 Special Topics, Two-dimensional Parabolic Flow, Three-dimensional Parabolic Flow, Partially Parabolic Flow, The Finite-Element Method, 9 Illustrative Applications, Developing Flow in a Curved Pipe, Combined Convection in a Horizontal Tube, Melting around a Vertical Pipe, Turbulent Flow and Heat Transfer in Internally Finned Tubes, A Deflected Turbulent Jet, A Hypermixing Jet within a Thrust-Augmenting Ejector, A Periodic Fully Developed Duct Flow, Thermal Hydraulic Analysis of a Steam Generator, Closing Remarks, Nomenclature, References, Index