We present two ÿnite di erence methods for numerical modelling of nonstationary compressible uid ows in a spiral channel with rectangular cross section. One of these methods is an explicit TVD scheme. Another scheme uses splitting in terms of physical processes and an implicit approximation of the friction term. The implemented numerical methods serve not only for computation of the damping of pressure jumps and evaluation of pressure compensators in percussion-rotary drilling devices but are also of great methodical and practical importance for the treatment of such ow problems.
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