Computational Techniques for Fluid Dynamics: A Solutions Manual (SPRINGER SERIES IN COMPUTATIONAL PHYSICS)

This complementary text provides detailed solutions for the problems that appear in Chapters 2 to 18 of Computational Techniques for Fluid Dynamics (CTFD), Second Edition. Consequently there is no Chapter 1 in this solutions manual. The solutions are indicated in enough detail for the serious reader to have little difficulty in completing any intermediate steps. Many of the problems require the reader to write a computer program to obtain the solution. Tabulated data, from computer output, are included where appropriate and coding enhancements to the programs provided in CTFD are indicated in the solutions. In some instances completely new programs have been written and the listing forms part of the solution. All of the program modifications, new programs and input/output files are available on an IBM­ compatible floppy direct from C.A.J. Fletcher. Many of the problems are substantial enough to be considered mini-projects and the discussion is aimed as much at encouraging the reader to explore ex­ tensions and what-if scenarios leading to further dcvelopment as at providing neatly packaged solutions. Indeed, in order to givc the reader a better intro­ duction to CFD reality, not all the problems do have a "happy ending". Some suggested extensions fail; but the reasons for the failure are illuminating. Front Matter....Pages i-vii Partial Differential Equations....Pages 1-7 Preliminary Computational Techniques....Pages 8-14 Theoretical Background....Pages 15-26 Weighted Residual Methods....Pages 27-39 Steady Problems....Pages 40-56 One-Dimensional Diffusion Equation....Pages 57-77 Multidimensional Diffusion Equation....Pages 78-89 Linear Convection-Dominated Problems....Pages 90-112 Nonlinear Convection-Dominated Problems....Pages 113-136 Fluid Dynamics: The Governing Equations....Pages 137-145 Generalised Curvilinear Coordinates....Pages 146-158 Grid Generation....Pages 159-171 Inviscid Flow....Pages 172-193 Boundary Layer Flow....Pages 194-218 Flows Governed by Reduced Navier-Stokes Equations....Pages 219-226 Incompressible Viscous Flow....Pages 227-239 Compressible Viscous Flow....Pages 240-256 This complementary text provides detailed solutions for the problems that appear in C.A.J. Fletcher's treatise Computational Techniques for Fluid Dynamics. The solutions are indicated in enough detail for the reader to complete any intermediate steps. Many of the problems require a computer program to be written, some of which are completely new; their listing forms part of the solution. Many problems are substantial enough to be considered mini-projects, and they should encourage the reader to explore extensions and further developments. Although targeted at instructors, the manual should be of considerable interest for mechanical engineers and fluid dynamicists. Provides senior undergraduate and postgraduate engineers, scientists and applied mathematicians with the specific techniques, and the framework to develop skills in using the techniques in the various branches of computational fluid dynamics.