Example of complex calculation of the pulsed radiation-magnetogasdynamic system

Authors: Savritskiy A.N., Nazaryan A.M., Savelyev T.A., Voronina E.A.
Published in issue: #9(86)/2023
DOI: 10.18698/2541-8009-2023-9-937

Category: Physics | Chapter: Thermophysics and theoretical heat engineering

Keywords: plasmodynamic processes, grid construction, radiation magnetogasdynamics, gas flow, mathematical simulation, numerical method, pulse systems, mathematical physics
Published: 16.10.2023

The paper considers an implemented method of constructing the adaptive grids to calculate the complex pulsed radiation-magnetogasdynamic (RMGD) models in a generalized coordinate system. Multidimensional complex pulsed RMHD models and numerical methods for obtaining characteristics of the pulsed RMHD systems were validated and verified using an example of calculating the gas-dynamic parameters of a jet coming from the nozzle exit into the cocurrent gas flow. Numerical technique for constructing regular curvilinear adaptive grids in the arbitrary areas was developed. This technique makes it possible to construct an adaptive (to the computational zone boundaries and to peculiarities in solving the mathematical physics problems) computational grid by solving the elliptic partial differential equations and using the special adaptation algorithms. Test calculations were performed.


[1] Kuzenov V.V., Ryzhkov S.V. Numerical modeling of the interaction of a magnetic-inertial thermonuclear fusion target with plasma and laser drivers. High Temperature, 2022, vol. 60, pp. S7–S15. http://doi.org/10.1134/S0018151X21040143

[2] Kuzenov V.V., Ryzhkov S.V. Thermophysical parameter estimation of a neutron source based on the action of broadband radiation on a cylindrical target. Fusion Science and Technology, 2023, vol. 79, pp. 399–406. http://doi.org/10.1080/15361055.2022.2112037

[3] Kuzenov V.V., Ryzhkov S.V. Calculation of plasma dynamic parameters of the magneto-inertial fusion target with combined exposure. Physics of Plasmas, 2019, vol. 26, pp. 092704. http://doi.org/10.1063/1.5109830

[4] Kuzenov V.V., Ryzhkov S.V. Estimation of the neutron generation in the combined magneto-inertial fusion scheme. Physica Scripta, 2021, vol. 96, pp. 125613. http://doi.org/10.1088/1402-4896/ac2543

[5] Kuzenov V.V., Ryzhkov S.V. Numerical simulation of pulsed jets of a high-current pulsed surface discharge. Computational Thermal Sciences, 2020, vol. 13, pp. 45–56. http://doi.org/10.1615/ComputThermalScien.2020034742

[6] Ryzhkov S.V. Modeling of plasma physics in the fusion reactor based on a field-reversed configuration. Fusion Science and Technology, 2009, vol. 55, no. 2T, pp. 157–161. http://doi.org/10.13182/FST09-A7004

[7] Kuzenov V.V., Ryzhkov S.V. Approximate calculation of convective heat transfer near hypersonic aircraft surface. Journal of Enhanced Heat Transfer, 2018, vol. 25 (2), pp. 181–193. http://doi.org/10.1615/JENHHEATTRANSF.2018026947

[8] Kuzenov V.V., Ryzhkov S.V., Frolko P.A., Shumaev V.V. Mathematical model of a pulsed plasma engine with preionization by a helicon discharge. Trudy MAI, 2015, no. 82. (In Russ.). URL: https://trudymai.ru/upload/iblock/24a/kuzenov-ryzhkov-shumaev-frolko_rus.pdf?lang=ru&issue=82 (accessed May 15, 2023).

[9] Kuzenov V.V., Ryzhkov S.V. Plasma dynamics simulation of the interaction of pulsed plasma jets. Physics of Atomic Nuclei, 2018, vol. 81, pp. 1460–1464. http://doi.org/10.1134/S106377881811011X

[10] Kuzenov V.V., Ryzhkov S.V., Varaksin A.Yu. The adaptive composite block-structured grid calculation of the gas-dynamic characteristics of an aircraft moving in a gas environment. Mathematics, 2022, vol. 10, art. 2130. http://doi.org/10.3390/math10122130

[11] Kuzenov V.V. Construction of regular adaptive grids in spatial regions with curvilinear boundarie. Herald of the Bauman Moscow State Technical University. Series mechanical engineering, 2008, no. 1, pp. 3–11. (In Russ.).

[12] Al’shina E.A., Boltnev A.A., Kacher O.A. Empirical improvement of simple gradient methods. Matematicheskoe modelirovanie, 2005, vol. 17, no. 6, pp. 43–57. (In Russ.).

[13] Kuzenov V.V., Ryzhkov S.V. Evaluation of the possibility of ignition of a hydrogen-oxygen mixture by erosive flame of the impulse laser. Laser Physics, 2019, vol. 29, pp. 096001. https://doi.org/10.1088/1555-6611/ab342d

[14] Kuzenov V.V. Numerical modeling of the processes of outflow of combustion products of a solid fuel charge in the surrounding space. Herald of the Bauman Moscow State Technical University. Series mechanical engineering, 2007, no. 2, pp. 44–55. (In Russ.).

[15] Kuzenov V.V., Ryzhkov S.V., Varaksin A.Yu. Calculation of heat transfer and drag coefficients for aircraft geometric models. Applied Sciences, 2022, vol. 12 (21), pp. 11011. 10.3390/app122111011

[16] Kuzenov V.V., Ryzhkov S.V. The qualitative and quantitative study of radiation sources with a model configuration of the electrode system. Symmetry, 2021, vol. 13 (6), pp. 927. https://doi.org/10.3390/sym13060927

[17] Molchanov A.M., Myakochin A.S. Numerical simulation of high-speed flows using the algebraic Reynolds stress model. Russian Aeronautics, 2018, vol. 61, pp. 236–243. http://doi.org/10.3103/S1068799818020125

[18] Klimenko G.K., Kuzenov V.V., Lyapin A.A., Ryzhkov S.V. Raschet, modelirovanie i proektirovanie generatorov nizkotemperaturnoy plazmy [Calculation, modeling and design of low-temperature plasma generators]. Moscow, BMSTU Press, 2021, 264 p. (In Russ.).

[19] Ryzhkov S.V. Modeling of thermophysical processes in a magnetic thermonuclear engine. Thermal Processes in Engineering, 2009, no. 9, pp. 397–400. (In Russ.).

[20] Mozgovoy A.G., Romadanov I.V., Ryzhkov S.V. Formation of a compact toroid for enhanced efficiency. Physics of Plasmas, 2014, vol. 21, art. 022501. http://doi.org/10.1063/1.4863452

[21] Ryzhkov S.V., Chirkov A.Yu. Alternative fusion fuels and systems. CRC Press, Taylor & Francis Group, 2018, 200 p.

[22] Kovalev B.D., Myshenkov V.I. Calculation of a viscous supersonic jet flowing into a cocurrent flow. Uch. zap. TsAGI, 1978, vol. 9, no. 3, pp. 125–130. (In Russ.).

[23] Myshenkov V.I. Calculation of the flow of a viscous laminar supersonic jet into a cocurrent flow. ZhVMi MF, 1979, vol. 19, no. 2, pp. 474–485. (In Russ.).

[24] Varaksin A.Yu., Ryzhkov S.V. Turbulence in two-phase flows with macro-, micro- and nanoparticles (a review). Symmetry, 2022, vol. 14, p. 2433. https://doi.org/10.3390/sym14112433

[25] Dimitrienko Y., Koryakov M., Zakharov A. Numerical modeling of coupled problems of external aerothermodynamics and internal heat-and-mass transfer in high-speed vehicle composite constructions. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2017, vol. 10187, pp. 294–301.

[26] Ryzhkov S.V. Magneto-inertial fusion and powerful plasma installations (a review). Applied Sciences, 2023, vol. 13 (21), p. 6658. https://doi.org/10.3390/app13116658

[27] Shumeiko A.I., Telekh V.D., Ryzhkov S.V. Probe diagnostics and optical emission spectroscopy of wave plasma source exhaust. Symmetry, 2022, vol. 14 (10), art. 1983. http://doi.org/10.3390/sym14101983

[28] Kuzenov V.V., Ryzhkov S.V., Varaksin A.Yu. Computational and experimental modeling in magnetoplasma aerodynamics and high-speed gas and plasma flows (a review). Aerospace, 2023, vol. 10, p. 662. https://doi.org/10.3390/aerospace10080662

[29] Kuzenov V.V., Ryzhkov S.V., Varaksin A.Yu. Simulation of parameters of plasma dynamics of a magnetoplasma compressor. Applied Sciences, 2023, vol. 13 (9), p. 5538. https://doi.org/10.3390/app13095538

[30] Rudinskii A.V., Yagodnikov D.A., Ryzhkov S.V., Onufriev V.V. Features of intrinsic electric field formation in low-temperature oxygen–methane plasma. Technical Physics Letters, 2021, vol. 47, iss. 7, pp. 520–523. https://doi.org/10.1134/S1063785021050278