Lagrange approach applying to the solution of one-dimesional problem of wave propagation in air under condition of adiabatic law

Simulation of one-dimensional waves in air using of several numerical schemes is considered. In addition to known schemes for acoustics problem solution a scheme using Lagrange approach to flow modeling is proposed. The numerical solution results for three kinds of initial conditions are compared with solution of a characteristics method. Conclusion about applying of considered schemes is made. It is shown, that time step can be varied in the proposed scheme without decreasing of solution accuracy.