An approximate LU factorization method for the compressible Navier-Stokes equations (Q1083961)

The approximate LU factorization is applied to the Beam-Warming-Steger method [e.g.: \textit{J. L. Steger}, AIAA J. 16, 679-686 (1978; Zbl 0383.76013)] for the compressible Navier-Stokes equations. This factorization is mainly based on the implicit flux vector splitting technique to which the simple estimation of eigenvalue of the viscous terms is added. The two-dimensional interaction problem of shock wave with laminar boundary layer on a flat plate was solved. Numerical results confirm the efficiency and reliability of the present method.