Second Edition. Taylor & Francis, 1997. 816 p.
ISBN-10:156032046X.
This comprehensive text provides basic fundamentals of computational theory and computational methods. The book is divided into two parts. The first part covers material fundamental to the understanding and application of finite-difference methods. The second part illustrates the use of such methods in solving different types of complex problems encountered in fluid mechanics and heat transfer. The book is replete with worked examples and problems provided at the end of each chapter.
Part I Fundamentals
Introduction
General Remarks
Comparison of Experimental, Theoretical, and Computational Approaches Historical Perspective
Partial Differential Equations
Introduction Physical Classification
Part II Application of Numerical Methods to the Equations of Fluid Mechanics and Heat Transfer
Goveing equations of fluid mechanics and Heat transfer
Numerical Methods For Inviscid Flow Equations
Numerical Methods for Boundary-Layer Type Equations
Numerical Methods for the "Parabolized" Navier-Stokes Equations
Numerical Methods for the Navier-Stokes Equations
Grid Generation
Appendixes
This comprehensive text provides basic fundamentals of computational theory and computational methods. The book is divided into two parts. The first part covers material fundamental to the understanding and application of finite-difference methods. The second part illustrates the use of such methods in solving different types of complex problems encountered in fluid mechanics and heat transfer. The book is replete with worked examples and problems provided at the end of each chapter.
Part I Fundamentals
Introduction
General Remarks
Comparison of Experimental, Theoretical, and Computational Approaches Historical Perspective
Partial Differential Equations
Introduction Physical Classification
Part II Application of Numerical Methods to the Equations of Fluid Mechanics and Heat Transfer
Goveing equations of fluid mechanics and Heat transfer
Numerical Methods For Inviscid Flow Equations
Numerical Methods for Boundary-Layer Type Equations
Numerical Methods for the "Parabolized" Navier-Stokes Equations
Numerical Methods for the Navier-Stokes Equations
Grid Generation
Appendixes