A difference procedure for the NavierStokes equations in multiplyconnected domains
Abstract
The present study is concerned with the development of a difference scheme which makes it possible to solve the NavierStokes equations for plane, steady incompressible flows, taking into account a formulation involving a pure stream function equation. The basic equations are examined and the stream function formulation of the NavierStokes equations is obtained. The numerical solution of the problem for simply connected domains is described, giving attention to aspects of linearization, discretization, the solution of the linear system, and the complexity of the procedure. The developed procedure is extended to cases involving multiplyconnected domains, and a description is provided of the additional algebraic equations required and the solution algorithm. Numerical experiments are also discussed, taking into consideration a test equation, plane flow problems, axisymmetric flows, and a multiplyconnected plane problem.
 Publication:

Ph.D. Thesis
 Pub Date:
 December 1985
 Bibcode:
 1985PhDT........21W
 Keywords:

 Computational Fluid Dynamics;
 Incompressible Flow;
 NavierStokes Equation;
 Steady Flow;
 Axisymmetric Flow;
 Linear Systems;
 Stream Functions (Fluids);
 Fluid Mechanics and Heat Transfer