The Dual Reciprocity Boundary Element Method For Linear And Non Linear Problems

The Dual Reciprocity Boundary Element Method for Linear and Non-linear Problems

Nonlinear Flow Using Dual Reciprocity

The purpose of this book is to introduce a boundary integral method based on domain partition for the solution of nonlinear fluid mechanics problems including non-Newtonian applications. In the present work, the Dual Reciprocity Method has been improved by paritioning the domain into smaller sub-domains, and in each sub-domain the Dual Reciprocity Method was applied to obtain an expression for the velocity field only in terms of boundary integrals. Several numerical examples are presented including Newtonian flow at high Reynolds numbers and non Newtonian flow of polymers inside complex geometry.

The Boundary Element Method for Engineers and Scientists

The Boundary Element Method for Engineers and Scientists: Theory and Applications is a detailed introduction to the principles and use of boundary element method (BEM), enabling this versatile and powerful computational tool to be employed for engineering analysis and design. In this book, Dr. Katsikadelis presents the underlying principles and explains how the BEM equations are formed and numerically solved using only the mathematics and mechanics to which readers will have been exposed during undergraduate studies. All concepts are illustrated with worked examples and problems, helping to put theory into practice and to familiarize the reader with BEM programming through the use of code and programs listed in the book and also available in electronic form on the book's companion website. - Offers an accessible guide to BEM principles and numerical implementation, with worked examples and detailed discussion of practical applications - This second edition features three new chapters, including coverage of the dual reciprocity method (DRM) and analog equation method (AEM), with their application to complicated problems, including time dependent and non-linear problems, as well as problems described by fractional differential equations - Companion website includes source code of all computer programs developed in the book for the solution of a broad range of real-life engineering problems