Method to Construct Godunov-Type Schemes and Implicit PPV Schemes and NewtonMethod to Solve CFD Problems of Viscous External Aerodynamics

摘要

The efficiency of the Newton method 1 and high resolution PPV schemes 2 to solvesteady Navier-Stokes equations is assessed. Linear systems on each Newton iteration step are solved using either iterative (GMRES 3 preconditioned by the incomplete LU decomposition by positions), or direct (nested dissection method 1) large sparse matrix inversion procedure. Linear system coefficients are computed using numerical differentiation. As test problems, two-D viscous transonic flows about circular cylinder and NACAOOl2 airfoil are considered. An influence of a PPV scheme option, the linear system solution accuracy, Newton method initial