Solution of viscous and inviscid flows using a new zonal formulation

The solution of the Navier-Stokes equations is a time consuming and memory intensive process. In order to reduce the cost of viscous flow simulations, a zonal approach has been developed. This method separates the computational domain into two distinct regions: viscous and inviscid. A form of the Cauchy-Riemann equations is solved in the inviscid region. Unlike the potential equation, this system is valid for rotational flows. The solution of the inviscid equations provides the boundary conditions for the Navier-Stokes equations, which are solved only in the viscous region. The viscous effects are then transferred to the inviscid equations via a forcing function (vorticity), and a new inviscid solution is computed. This process is iterated upon until all the boundary conditions have reached convergence.; Inviscid and viscous results obtained from the present zonal method are in good agreement with a well known Euler and Navier-Stokes solver. From these preliminary results, the zonal approach shows promise in accelerating the simulation of inviscid and viscous flows.