Regular asymptotic expansions in fluid dynamics, with emphasis on computer extension and acceleration of convergence
Abstract
In recent years, computers were used to calculate large numbers of terms of regular asymptotic expansions occurring in certain problems of fluid mechanics. These expansions are often found to be either slowly convergent or divergent for the required values of the expansion parameter. Methods for acceleration of convergence and for locating singularities by asymptotic analysis of coefficients were used for their numerical evaluation. These methods are described in detail, and applications to problems of fluid mechanics are given. The latter include the supersonic blunt body problem, calculation of nozzle flows, the compressible flow past circular cylinders at low free stream Mach numbers, and viscous flows at low Reynolds numbers within closed boundaries.
 Publication:

In Von Karman Inst. for Fluid Dyn. Math. Methods in Fluid Dyn. 59 p (SEE N8115288 0634
 Pub Date:
 1980
 Bibcode:
 1980mmfd.vkif.....V
 Keywords:

 Asymptotic Series;
 Computer Techniques;
 Convergence;
 Fluid Mechanics;
 Problem Solving;
 Blunt Bodies;
 Compressible Flow;
 Divergence;
 Nozzle Flow;
 Numerical Analysis;
 Fluid Mechanics and Heat Transfer