Numerical solutions for a moving shear layer in a swirling axisymmetric flow
Abstract
The paper presents a new model problem for unsteady incompressible viscous flow as well as a new numerical method for modeling flows in cylindrical geometries. The model problem, an exact solution to the threedimensional axisymmetric NavierStokes equations, represents a moving shear layer of rotating fluid whose thickness is a function of Reynolds number. The numerical method is a fundamental solution technique for cylindrical coordinates similar in derivation to the Cartesian scheme of ElMistikawy and Werle (1978). This new method and several other numerical schemes are tested on the model problem, and their relative performances in modeling both the transient and the steady state are considered.
 Publication:

Numerical Methods in Fluid Dynamics
 Pub Date:
 1981
 DOI:
 10.1007/3540106944_8
 Bibcode:
 1981LNP...141...74B
 Keywords:

 Axisymmetric Flow;
 Computational Fluid Dynamics;
 Rotating Fluids;
 Shear Layers;
 Unsteady Flow;
 Vortices;
 Cartesian Coordinates;
 Cylindrical Bodies;
 Finite Difference Theory;
 Flow Geometry;
 Incompressible Flow;
 NavierStokes Equation;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer