Low-diffusion preconditioning scheme with linear cut-off parameter

A low-diffusion preconditioning Roe scheme with an adjustable parameter to control the numerical dissipation is proposed. This scheme reflects the real physical dissipation in the extremely low-speed region. The preconditioning parameter in scheme is improved by linear cut-off and correction factor. The numerical results of low-Mach-number/low-Reynolds-number steady solutions of viscous flows past a circular cylinder and past a NACA0012 airfoil show the efficiency of the new scheme.