2014 , Volume 19, № 5, p.51-66

An implicit numerical method using ENO scheme of the third order of accuracy is developed, and the three-dimensional numerical simulation of a turbulent supersonic air flow with the perpendicular injection of hydrogen is performed. Additionally, the effective adiabatic parameter of the gas mixture, which allows one to calculate the derivatives of the pressure with respect to independent variables, is introduced for determining the Jacobian matrices. Some well-known slope limiters are used to solve one-dimensional Sod problem. Then, the three-dimensional hyperbolic equation for scalar is solved using these slope limiter functions. It is shown that some slope limiters do not preserve the solution of the three-dimensional problem. We upgrade some limiters and provide numerical experiment for the problem of the transverse hydrogen injection into the supersonic air crossflow with traditional and modified limiters. The results of the comparison of the solutions indicate that the traditional limiters spread the shock wave structure and the mixing layer. Also, the influence of the jet pressure ratio on the shock wave and the depth of the hydrogen penetration into the airflow is studied. The comparison of the numerical results for the hydrogen penetration into the crossflow shows good agreement with the experiment data.