The boundary integral equation method for viscous and inviscid flows
Abstract
A general boundary integral formulation for the analysis of the NavierStokes equations is studied, with particular emphasis on external flows past streamlined bodies at large Reynolds numbers. The integral representation of the solution for the unsteady NavierStokes equation is given in terms of velocity and pressure, and this formulation for the unsteady case is used to recover the integral representation for the inviscid flows as the limiting case for the Reynolds number going to infinity. The assumption of zero vorticity leads to the classical boundary integral equations for potential flow. Derivation of the governing integral equations and the relevant fundamental solutions of these formulations for viscous and inviscid flows yields a better understanding of the problem both from a physical and a mathematical point of view. The selection of the appropriate computational procedure through the solution of numerical problems of increasing difficulty is addressed.
 Publication:

ISCFD Nagoya 1989  3rd International Symposium on Computational Fluid Dynamics
 Pub Date:
 1989
 Bibcode:
 1989cfd..symp.1240P
 Keywords:

 Boundary Integral Method;
 Interactional Aerodynamics;
 Inviscid Flow;
 Viscous Flow;
 High Reynolds Number;
 NavierStokes Equation;
 Poincare Problem;
 Fluid Mechanics and Heat Transfer