A calculation method for significant degeneracies and some fluidmechanical applications
Abstract
A method for the calculation of the significant degeneracies of Ecklaus (1979) is presented for a class of commonly encountered physical problems. The method enables numerical computation of the boundary layer equations for a given singular perturbation problem. The method is demonstrated for: (1) solution of the complete NavierStokes equations for viscous incompressible flow along an obstacle at high Reynolds number; (2) solution of the NavierStokes equations for the viscous incompressible flow around a moving sphere; and (3) solution of the Marble equations for the flow of a suspension of small solid particles at high Reynolds number.
 Publication:

Journal de Mecanique Theorique et Appliquee Supplement
 Pub Date:
 1986
 Bibcode:
 1986JMTAS......295F
 Keywords:

 Boundary Layer Equations;
 Computational Fluid Dynamics;
 Incompressible Fluids;
 NavierStokes Equation;
 Perturbation Theory;
 Singularity (Mathematics);
 Differential Equations;
 Flat Plates;
 High Reynolds Number;
 Spheres;
 Viscous Fluids;
 Fluid Mechanics and Heat Transfer