A Finite Difference Galerkin Formulation for the Incompressible NavierStokes Equations
Abstract
The development of a new computational method for solving the incompressible NavierStokes equations in primitive variable form is presented. It is found that certain finite difference approximations for these equations can be transformed into an equivalent system which efficiently determines the discrete velocity field and which completely eliminates the pressure. Two such difference schemes for two dimensional problems are examined and some preliminary numerical results are discussed for the steady driven cavity problem.
 Publication:

Journal of Computational Physics
 Pub Date:
 January 1984
 DOI:
 10.1016/00219991(84)900573
 Bibcode:
 1984JCoPh..53..152S
 Keywords:

 Finite Difference Theory;
 Galerkin Method;
 Incompressible Flow;
 NavierStokes Equation;
 Computational Grids;
 Steady Flow;
 Transformations (Mathematics);
 Two Dimensional Flow;
 Vector Analysis;
 Fluid Mechanics and Heat Transfer