Numerical investigation of compact grid-characteristic schemes for acoustic problems

In this paper, an acoustic approximation is considered, which allows to describe the propagation of longitudinal waves in geological media. For the two-dimensional case, a compact numerical scheme is described that provides an increased approximation order on a two-point spatial stencil. To construc...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-05, Vol.1902 (1), p.12110
Main Authors: Golubev, V I, Shevchenko, A V, Khokhlov, N I, Nikitin, I S
Format: Article
Language:English
Subjects:
Acoustic propagation
Approximation
Differential equations
Longitudinal waves
Mathematical analysis
Physics
Wave propagation
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Summary:In this paper, an acoustic approximation is considered, which allows to describe the propagation of longitudinal waves in geological media. For the two-dimensional case, a compact numerical scheme is described that provides an increased approximation order on a two-point spatial stencil. To construct it, we used the method of splitting along coordinate axes and the differential continuation of the original system of equations. A number of numerical tests have been carried out, confirming the increased order of approximation.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1902/1/012110