Noname

Three finite-difference schemes for solving one-dimensional conservation laws of gas dynamics are compared by numerical solutions obtained and by computational effort required. The first one is the classical Godunov scheme, other two are higher-order Godunov-type schemes. One-step scheme of second order of accuracy in time is found to be the best in terms of numerical efficiency. This scheme is recommended for applications such as numerical modeling of unsteady gas motion in channels of internal combustion engines.