A flux‐vector splitting method for steady Navier‐Stokes equations

The flux‐vector splitting method is applied to the convective part of the steady Navier‐Stokes equations for incompressible flow. By the use of partial upwind differences in the split first‐order part and central differences in the second‐order part, a set of discrete equations is obtained which can be solved by vector variants of classical relaxation schemes. It is shown that accurate results can be obtained on one of the GAMM backward‐facing step test problems.