A regular difference grid and a method of characteristics

An explicit method of characteristics used to calculate the values of gas-dynamic parameters of one-dimensional unsteady flows is considered. An algorithm for solving gas-dynamic equations written along characteristic directions is formulated for use on a regular grid. An example of calculating the problem for a cylindrical pipe is performed.It is shown that with a time integration step equal to 0.0002 s, the calculation accuracy by the explicit method is close to the results obtained by the implicit method.