The Purpose Of This Textbook Is To Provide Senior Undergraduate And Postgraduate Engineers, Scientists And Applied Mathematicians With The Specific Techniques, And The Framework To Develop Skills In Using The Techniques, That Have Proven Effective In The Various Brances Of Computational Fluid Dynamics. Contents: Fluid Dynamics: The Governing Equations -- Generalised Curvilinear Coordinates -- Grid Generation -- Inviscid Flow -- Boundary Layer Flow -- Flows Governed By Reduced Navier-stokes Equations -- Incompressible Viscous Flow -- Compressible Viscous Flow -- Appendices -- References -- Subject Index. 2-volume Set1988. 321 Figs. Xxv, 893 Pp. Hard Cover Dm 198,-. Isbn 3-540-19466-5 This Is A Textbook For Senior Undergraduate And Graduate Engineers, Scientists And Applied Mathematicians. It Provides Them With The Specific Techniques That Have Proven Effective In The Various Branches Of Computational Fluid Dynamics. It Also Provides Them With The Framework To Develop Skills In Using Those Techniques. Volume 1 Systematically Develops The Fundamental Computational Techniques That Are Required To Predict Flow Behavior Of Newtonian Fluids. Relevant Background Material Is Provided On Partial Differential Equations, Convergence, Stability And Consistency And Equation Solution Methods. A Unified Treatment Of Finite Difference, Finite Element, Finite Volume And Spectral Methods, As Alternative Means Of Discretization, Is Emphasized. By Clive A. J. Fletcher. The purpose of this two-volume textbook is to provide students of engineer ing, science and applied mathematics with the specific techniques, and the framework to develop skill in using them, that have proven effective in the various branches of computational fluid dynamics (CFD). Volume 1 de scribes both fundamental and general techniques that are relevant to all branches of fluid flow. Volume 2 provides specific techniques, applicable to the different categories of engineering flow behaviour, many of which are also appropriate to convective heat transfer. An underlying theme of the text ist that the competing formulations which are suitable for computational fluid dynamics, e.g. the finite differ ence, finite element, finite volume and spectral methods, are closely related and can be interpreted as part of a unified structure. Classroom experience indicates that this approach assists, considerably, the student in acquiring a deeper understanding of the strengths and weaknesses of the alternative computational methods. Through the provision of 24 computer programs and associated exam ples and problems, the present text is also suitable for established research workers and practitioners who wish to acquire computational skills without the benefit of formal instruction. The text includes the most up-to-date techniques and is supported by more than 300 figures and 500 references Front Matter....Pages I-XIV Computational Fluid Dynamics: An Introduction....Pages 1-16 Partial Differential Equations....Pages 17-46 Preliminary Computational Techniques....Pages 47-72 Theoretical Background....Pages 73-97 Weighted Residual Methods....Pages 98-162 Steady Problems....Pages 163-215 One-Dimensional Diffusion Equation....Pages 216-248 Multidimensional Diffusion Equation....Pages 249-275 Linear Convection-Dominated Problems....Pages 276-330 Nonlinear Convection-Dominated Problems....Pages 331-374 Back Matter....Pages 375-409
