Application of the CABARET and WENO Schemes for Solving the Nonlinear Transport Equation in the Problem of Simulating the Propagation of a Sonic Boom Wave in the Atmosphere Full article
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Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 |
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| Output data | Year: 2024, Volume: 64, Number: 5, Pages: 1076-1088 Pages count : 13 DOI: 10.1134/s096554252470026x | ||||
| Tags | sonic boom, nonlinear transport equation, propagation of small-amplitude waves, CABARET scheme, WENO scheme | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0001 |
Abstract:
The most convenient model describing the propagation of a sonic boom wave in the atmosphere is the augmented Burgers equation. In this work, we studied the influence of a numerical scheme on the result of solving an equation that takes into account the nonlinear nature of the propagation of sonic boom waves in the atmosphere. This equation is a key component of the augmented Burgers equation and determines the nature of the transformation of the disturbed pressure profile during its propagation. Two numerical schemes were used for solving: CABARET and WENO— quasi-monotonic end-to-end computing schemes, which make it possible to obtain a solution without significant numerical oscillations. The applicability of these schemes for solving the problem under consideration is analyzed.
Cite:
Mishchenko P.A.
, Gimon T.A.
, Kolotilov V.A.
Application of the CABARET and WENO Schemes for Solving the Nonlinear Transport Equation in the Problem of Simulating the Propagation of a Sonic Boom Wave in the Atmosphere
Computational Mathematics and Mathematical Physics. 2024. V.64. N5. P.1076-1088. DOI: 10.1134/s096554252470026x WOS Scopus РИНЦ OpenAlex
Application of the CABARET and WENO Schemes for Solving the Nonlinear Transport Equation in the Problem of Simulating the Propagation of a Sonic Boom Wave in the Atmosphere
Computational Mathematics and Mathematical Physics. 2024. V.64. N5. P.1076-1088. DOI: 10.1134/s096554252470026x WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Sep 21, 2023 |
| Accepted: | Dec 26, 2023 |
| Published online: | Jun 13, 2024 |
Identifiers:
| Web of science: | WOS:001249179300008 |
| Scopus: | 2-s2.0-85196146792 |
| Elibrary: | 68332928 |
| OpenAlex: | W4399614988 |
Citing:
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