Viscous Flow Applications

This new volume in the series presents a variety of applications of the Boundary Element Method to viscous flow problems.

The Boundary Element Method has now become a powerful tool of engineering analysis and is routinely applied for the solution of elastostatics and potential problems. More recently research has concentrated on solving a large variety of non-linear and time dependent applications and in particular the method has been developed for viscous fluid flow problems. This book presents the state of the art on the solution of viscous flow using boundary elements and discusses different current approaches which have been validated by numerical experiments. . Chapter 1 of the book presents a brief review of previous work on viscous flow simulation and in particular gives an up-to-date list of the most important BEM references in the field. Chapter 2 reviews the governing equations for general viscous flow, including compressibility. The authors present a compre- hensive treatment of the different cases and their formulation in terms of boundary integral equations. This work has been the result of collaboration between Computational Mechanics Institute of Southampton and Massa- chusetts Institute of Technology researchers. Chapter 3 describes the gen- eralized formulation for unsteady viscous flow problems developed over many years at Georgia Institute of Technology. This formulation has been extensively applied to solve aer09ynamic problems.

Contents: A Brief Review of Previous Work on Viscous Flow Simulation.- Boundary Element Formulation for Viscous Compressible Flow.- A Generalized Formulation for Unsteady Viscous Flow Problems.- Natural and Forced Convection Simulation Using the Velocity-Vorticity Approach.- A Boundary Element Analysis for Thermal Convection Problems.- Calculation of the Potential Flow with Consideration of the Boundary Layer.- Applications in Non-Newtonian Fluid Mechanics.- Viscous Fluid Mechanics.- Subject Index.