A coupled solution of the vorticityvelocity formulation of the incompressible NavierStokes equations
Abstract
A relatively novel formulation of the NavierStokes equations is used for obtaining solutions of two dimensional incompressible fluid flow and convective heat transfer problems. A vorticity transport equation along with two Poisson equations for the velocity components and the energy equation are solved by a finite difference scheme. A coupled solution procedure is used for solving simultaneously the dependent variables along a line, using a block tridiagonal matrix algorithm. The formulation is found to be stable and has features that may be desirable for solving a wide variety of flow and heat transfer problems.
 Publication:

International Journal for Numerical Methods in Fluids
 Pub Date:
 December 1985
 DOI:
 10.1002/fld.1650051202
 Bibcode:
 1985IJNMF...5.1017F
 Keywords:

 Computational Fluid Dynamics;
 Flow Velocity;
 Incompressible Flow;
 Vorticity Transport Hypothesis;
 Annular Flow;
 Convective Heat Transfer;
 Matrices (Mathematics);
 NavierStokes Equation;
 Stream Functions (Fluids);
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer