Verification and validation of a Direct Numerical Simulation code

•Verification of a boundary layer numerical code by the Method of Manufactured Solutions.•Convergence order analysis of a boundary layer numerical code.•Validation of a boundary layer numerical code through comparison with experimental data.•Agreement between boundary layer numerical code and Linear Stability Theory results.•Use of high-order approximations.

The verification of a Direct Numerical Simulation code is carried out using the Method of Manufactured Solutions. Numerical results from the code are also compared with experimental and Linear Stability Theory results in a boundary layer over an airfoil. Displacement thickness, momentum thickness and shape factor are used to measure the boundary layer. Comparisons considering the amplitude of the velocity disturbance caused by two-dimensional Tollmien–Schlichting waves are also made. The results show the verification and validation of the Direct Numerical Simulation code.