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

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

Journal

Computational Mathematics and Mathematical Physics
ISSN: 0965-5425

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

Mishchenko P.A. ¹ , Gimon T.A. ¹ , Kolotilov V.A. ²

Affiliations

1	Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia
2	Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia

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.

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

Submitted:	Sep 21, 2023
Accepted:	Dec 26, 2023
Published online:	Jun 13, 2024

Web of science:	WOS:001249179300008
Scopus:	2-s2.0-85196146792
Elibrary:	68332928
OpenAlex:	W4399614988

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