Boundary Element Analysis of Viscous Flow

by Koichi Kitagawa

Overview

In recent years, the performance of digital computers has been improved by the rapid development of electronics at remarkable speed. In addition, substantial research has been carried out in developing numerical analysis techniques. Nowadays, a variety of problems in the engineering and scientific fields can be solved by using not only super computers but also personal computers. After the first book titled "Boundary Element" was published by Brebbia in 1978, the boundary element method (BEM) has been recognized as a powerful numerical technique which has some advantages over the finite difference method (FDM) and finite element method (FEM). A great amount of research has been carried out on the applications of BEM to various problems. The numerical analysis of fluid mechanics and heat transfer problems plays a key role in analysing some phenomena and it has become recognized as a new research field called "Computational Fluid Dynamics". In partic­ ular, the analysis of viscous flow including thermal convection phenomena is one of the most important problems in engineering fields. The FDM and FEM have been generally .applied to solve these problems because of non­ singularities of governing equations.

Product Details

ISBN-13:	9783540519300
Publisher:	Springer Berlin Heidelberg
Publication date:	12/15/1989
Series:	Lecture Notes in Engineering , #55
Edition description:	Softcover reprint of the original 1st ed. 1990
Pages:	136
Product dimensions:	6.69(w) x 9.53(h) x 0.01(d)

Table of Contents

1 Introduction.- §1-1 Background.- §1-2 Review of Viscous Flow Analyses.- §1-3 Review of Boundary Element Methods.- §1-4 Outline of this Book.- §1-5 References.- 2 Theory.- §2-1 Introduction.- §2-2 Basic Equations.- §2-3 Boundary Integral Formulations.- §2-4 Evaluation of Convective Terms.- §2-5 References.- 3 Numerical Implementation.- §3-1 Introduction.- §3-2 Boundary and Domain Discretization.- §3-3 Self-adaptive Coordinate Transformation Technique.- §3-4 Evaluation of Domain Integrals.- §3-5 Iterative Solution Procedure.- §3-6 References.- 4 Computational Results.- §4-1 Introduction.- §4-2 Evaluation of Derivatives in the Convective Terms.- §4-3 Effect of the Self-adaptive Coordinate Transformation Technique.- §4-4 Two-dimensional Viscous Flow Problems.- §4-5 Two-dimensional Natural Convection Problems.- §4-6 Evaluations of Pressure Fields.- §4-7 Three-dimensional Viscous Flow Problems.- §4-8 References.- 5 Conclusions.- Appendix A Constant Rectangular Internal Cell.- Appendix B Linear Triangular Internal Cell.- Appendix C Discontinuous Quadratic Quadrilateral Internal Cell.