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Linear Quasi-Monotone and Hybrid Grid-Characteristic Schemes for the Numerical Solution of Linear Acoustic Problems1статья
- Авторы: Guseva E.K., Golubev V.I., Petrov I.B.
- Журнал: Numerical Analysis and Applications
- Том: 16
- Номер: 2
- Год издания: 2023
- Издательство: Maik Nauka/Interperiodica Publishing
- Местоположение издательства: Russian Federation
- Первая страница: 112
- Последняя страница: 122
- DOI: 10.1134/s1995423923020027
- Аннотация: The system of linear acoustic equations is hyperbolic. It describes the process of acoustic wave propagation in deformable media. An important property of the schemes used for the numerical solution is their high approximation order. This property allows one to simulate the perturbation propagation process over sufficiently large distances. Another important property is schemes’ monotonicity, which prevents the appearance of non-physical oscillations in the solution. In this paper, we present linear quasi-monotone and hybrid grid-characteristic schemes for a linear transport equation and a system of one-dimensional linear acoustic equations. They are constructed by a method of analysis in the space of unknown coefficients proposed by A.S. Kholodov based on the grid-characteristic monotonicity criterion. Wide spatial stencils with five to seven computational grid nodes are considered. Reflection of a longitudinal wave with a sharp front from the interface between media with different parameters is used as a test to compare the obtained numerical solutions.
- Добавил в систему: Ильин Александр Владимирович