Abstract
We study three-dimensional potential gas flow in a nozzle. The matrix of the system of linear equations obtained in approximating the equation for the velocity potential by symmetric differences has a strongly sparse form. This property is used for an approximate expansion of it as a product of triangular matrices. To guarantee stability in the supersonic region of flow additional terms of artificial viscosity type are introduced into the equation for the velocity potential. We study gas flows in axisymmetric and three-dimensional nozzles: elliptic, superelliptic, and nozzles with nonsymmetric subsonic part. Comparison of the results with the data of other authors has shown the high effectiveness of such an approach.
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