Abstract: In this paper, an implicit and upwind incremental Block-Line-Gauss-Seidel Method is developed for solving compressible Navier Stokes equations in the Body-Fitted coordinate system. The computational solutions of the internal compressible turbulence flow have been obtained by the method with a two-layer eddy viscosity model employing a Baldwin-Lomax algebraic turbulece model. Numerical experiments show that the computational procedure is of good stability and convergence. Numerical results of the Poissuil flow and Couette flow are good agreement with its analytic solution and computational results of flows in S-Shaped channel with different wall curvature are satisfactorily.

Key words: turbulence flow, Navier-Stokes equations, increment line-seidel technique