Velocity and extraneous boundary conditions of viscous flow problems
Abstract
A novel method for treating certain troublesome boundary conditions in the numerical solution of timedependent incompressible viscous flow problems is presented. This new method is developed on the basis of an integral representation for the velocity vector which contains the entire kinematics of the problem, including the boundary conditions of concern. It is shown that for the exterior flow problem the freestream condition is satisfied at infinity exactly and the need to treat a farfield condition is removed by the use of the integral representation. The distribution of a nonvelocity variable on the solid boundary  i.e., the 'extraneous' boundary condition needed for both the exterior and the interior flows  is shown to be governed by the kinematics of the problem.
 Publication:

AIAA, 13th Aerospace Sciences Meeting
 Pub Date:
 January 1975
 Bibcode:
 1975aiaa.meetS....W
 Keywords:

 Boundary Conditions;
 Boundary Value Problems;
 Flow Velocity;
 Fluid Boundaries;
 Numerical Integration;
 Viscous Flow;
 Vorticity;
 Continuity Equation;
 Couette Flow;
 Incompressible Flow;
 NavierStokes Equation;
 Reynolds Number;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer