SOME UNSTEADY TWO-DIMENSIONAL GAS FLOWS, DETERMINED USING TRIGONOMETRIC SERIES
https://doi.org/10.26583/vestnik.2023.295
Abstract
The work uses a technique for representing solutions to a system of nonlinear equations of motion in the form of infinite trigonometric series of two spatial variables. The coefficients of the series are the desired functions of time, for which an infinite system of ordinary differential equations is written. The initial data are specified in the form of finite trigonometric sums. Approximate solutions to the stated Cauchy problems are also constructed in the form of finite segments of trigonometric series. For various initial data, the work considers specific nonstationary two-dimensional gas flows that are periodic in the spatial variables x, y and analyzes their properties.
About the Authors
S. P. Bautin
Snezhinsk Institute of Physics and Technology, National Research Nuclear University MEPhI
Russian Federation
Russian Federation
O. A. Karelina
Snezhinsk Institute of Physics and Technology, National Research Nuclear University MEPhI; Federal State Unitary Enterprise «Russian Federal Nuclear Center – Zababakhin Al – Russia Research Institute of technical Physics»
Russian Federation
Russian Federation
A. G. Obukhov
Tyumen Industrial University
Russian Federation
Russian Federation
References
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4. Bautin S.P., Karelina O.A., Obukhov A.G. Nestacionarnye dvumernye periodicheskie resheniya uravnenij dvizheniya. [Nonstationary two-dimensional periodic solutions of equations of motion]. Snezhinsk, SFTI NRNU MEPhI Publ., 2023.
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6. Bautin S.P. Harakteristicheskaya zadacha Koshi i ee prilozheniya v gazovoj dinamike. [The characteristic Cauchy problem and its applications in gas dynamics]. Novosibirsk, Nauka Publ., 2009.
Review
For citations:
Bautin S.P., Karelina O.A., Obukhov A.G. SOME UNSTEADY TWO-DIMENSIONAL GAS FLOWS, DETERMINED USING TRIGONOMETRIC SERIES. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2023;12(4):223-232. (In Russ.) https://doi.org/10.26583/vestnik.2023.295
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