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.
The problem of the numerical modelling of the damping effect of the spiral compensators of percussion-rotary drilling devices is considered. The Roe first-order difference method has been adapted for the computation of a three-dimensional flow of a barotropic compressible fluid on a spatial curvilinear grid. As a result, the distributions of the solution components have been obtained both inside the compensator channel and at its upper outlet. A comparison of the damping effect of the compensator with the results of the one-dimensional computation by a TVD second-order scheme has shown that the three-dimensional computations produce a slightly more pronounced damping effect than the one-dimensional computations.
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