K-1401 Numerical Study of Open Boundary Conditions for Two-Dimensional Jets

Abstract

One of the chief difficulties encountered in numerical simulation of the Navier-Stokes equations is the boundary conditions. Specitically, we consider the case of two-dimensional jet discharging into a unbounded domain. The semi-implicit splitting method is used with a staggered grid. A third-order upwind scheme is used for convection terms. Outflow boundary condition is Sommerfeld radition(SRC). At side boundaries, we attempt to introduce the entrainment by apply the analytical solution given by Schlichting to boundary condition. Schlichting's solution provides good result than slip condition.