IMPROVEMENT OF FINITE-ANALYTIC DISCRETIZATION OF INCOMPRESSIBLE 3-DIMENSIONAL NAVIER-STOKES EQUATIONS

The finite-analytic numerical method is presented for discretization o f three-dimensional incompressible Navier-Stokes equations. In this ar ticle, a new 27-point finite-analytic discretization scheme is derived utilizing the superposition of the local analytic solutions of linear ized hue-dimensional convection-diffusion equation. It is shown that t he new 27-point finite-analytic numerical solution is computationally efficient and accurately simulates both convection and diffusion, due to the analytic nature of the solution, which provides an automatic, s mooth, gradual upwinding of the three-dimensional convective effect.