Determination of parameters behind an oblique shock wave on a wedge using numerical methods in the Python programming language

The article discusses numerical methods for solving nonlinear equations applied to determine the parameters behind an oblique shock wave on a wedge in a supersonic gas flow. Two main methods are considered: the Newton method and the secant method. The specifics of their application and convergence in solving equations related to the angle of inclination of the shock wave are described. A comparison of the methods' performance is conducted on the example of determining the oblique shock wave angle (OSW), along with calculations of flow parameters behind the shock wave. Both methods yielded identical results, but the secant method required less computation time. The article also highlights important conditions affecting the convergence of the methods and the accuracy of the calculations.