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UDC 5172:519.245:533.6.011.5
Technical mechanics, 2022, 2, 71  86
Numerical gasdynamic computational methods in problems of rarefied jet flow about obstacles
Smila T. G., Pecherytsia L. L.
Smila T. G.
Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine
Pecherytsia L. L.
Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine
The development of competitive space hardware calls for continuing improvements in the accuracy of
simulation of gasdynamic processes in the space vehicle vicinity. This may contribute to
extending the active life of spacecraft, thus improving the economic efficiency of space activities.
In particular, quite a topical problem is the simulation of the interaction of rarefied jets from
the propulsion system of a spacecraft with its individual components. To solve this problem in the
case of a rather high surrounding vacuum, use is made of the molecularkinetic concept of the gas
structure based on the Boltzmann equation. The aim of this paper is to overview existing methods of
simulation of gasdynamic processes near spacecraft in a rarefied gas flow with account for
propulsion system jets and to choose the most promising approaches to the solution of this problem.
Among the methods considered, several main lines are set off: approximate, analytical, and numerical
methods. Approximate methods use physical models of jet flow, approximation of numerical results, or
a combination of both approaches. Analytical methods are based on essentially simplified assumptions
and are intended for a very narrow class of problems. Numerical methods are the most universal tool
of theoretical study. At the same time, each numerical method has a range of application of its own.
At present, the most used and promising methods are statistical simulation methods: the direct
simulation Monte Carlo method (DSMCM) and the test particle method (TPM). The former splits the
continuous process of molecule motion and collisions in a rarefied gas into two successive independent
stages (freemolecular transfer and relaxation) at each small time step. The simulation is done by
time steps and in fact reproduces a nonstationary process. The latter, the TPM, consist in a
statistical successive simulation of the wandering of test particles (molecules) on the background of
field ones about the cells of the computational grid. Test particles, which move within the cells of
the computational area, periodically collide with the obstacle in the flow and field particles, and
in doing so they gradually change both their velocity and the field characteristics. For both
statistical approaches, the simulation accuracy, as can be expected, is inversely proportional to the
square root of the number of tests: the number of time steps and modeling particles for the DSMCM and
the number of successively simulated test particle trajectories for the TPM. This may greatly affect
the possibility of attaining a desired accuracy.
gasdynamic processes, analytical and numerical methods, rarefied jet flow, statistical simulation methods, direct simulation Monte Carlo method, test particle method
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Copyright (©) 2022 Smila T. G., Pecherytsia L. L.
Copyright © 20142022 Technical mechanics
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