Numerical investigation of the outflow of xenon gas through a supersonic nozzle into a vacuum region

Title	Numerical investigation of the outflow of xenon gas through a supersonic nozzle into a vacuum region
Authors	M. R. Veselov¹, Y. N. Deryugin¹ ¹Branch of Lomonosov Moscow State University in Sarov
Annotation	This paper presents a two-dimensional method for calculating viscous compressible flows in flat and axisymmetric regions. The technique is based on the use of unstructured grids, implicit approximations of the Navie–Stokes equations. The difference equations are obtained based on the control volume method in the so-called delta form, relative to the increment of the desired solution. To increase the resolution of the circuit, a one-dimensional linear reconstruction of the solution is used to determine the predisposition parameters of the flow. Viscous flows are approximated by central differences. The system of difference equations is solved using an algebraic multigrid solver. Inviscid flows are calculated according to an explicit scheme. Numerical studies of the formation of a stationary xenon flow in a nozzle device and the outflow of a supersonic jet into a vacuum region have been carried out using the constructed methodology. The calculated parameters of the jet show that clusters can form in the flow. The results of comparing the calculation results with experimental data are presented.
Keywords	mathematical modeling, numerical methods, vacuum region.
Citation	Veselov M. R., Deryugin Y. N. ''Numerical investigation of the outflow of xenon gas through a supersonic nozzle into a vacuum region'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 37-39. Available at: https://conf.svmo.ru/files/2026/papers/paper69.pdf. - Date of access: 25.09.2026.

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Numerical investigation of the outflow of xenon gas through a supersonic nozzle into a vacuum region

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