[en] In this paper, the investigation of Mach-number effects on roll moment of wrap-around-fin projectiles is numerically simulated using a multi-zone approach and the thin-layer Navier-Stokes equations. For computation of the three-dimensional supersonic turbulent flow, averaged thin-layer Navier-Stokes equations in the generalized coordinate system have been solved with an efficient finite-difference factored algorithm of the Beam and Warming. For the turbulent flowfield computations, the well-known isotropic two-layer algebraic eddy viscosity called Baldwin-Lomax model has been used. The case study is a secant-ogive-cylinder configuration with four 34^o swept wrap-around fins at the end of body. To demonstrate the effect of Mach number on aerodynamics coefficients, the aerodynamic characteristics of this configuration including axial force and roll moment for free-stream Mach numbers 1.6-5.0 are presented. In addition, these coefficients are compared with those of the experimental measurements at zero angle of attack and the above Mach numbers, and show good agreement. (author)