EXPLICIT FINITE ANALYTIC METHOD FOR UNSTEADY 3-DIMENSIONAL NAVIER-STOKES-EQUATIONS

An explicit finite analytic method (EFA) for solving unsteady Navier-S tokes equations is developed based on the finite analytic method (FA). In this method, the convective transport equation ir solved with a lo cal analytic solution based on the characteristic method in space and time variables for the inviscid portion, while the viscous diffusion a nd source term are approximated by finite differences. A second-order polynomial determined by the direction of velocity is adopted to appro ximate the initial condition in the local element. Numerical solutions obtained for the lid-driven cavity flow are compared with those obtai ned by the 19-point FA method.