Open AccessNumerical investigation of compact grid-characteristic schemes for acoustic problems
Author(s) -
В. И. Голубев,
A. V. Shevchenko,
Н. И. Хохлов,
И. С. Никитин
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1902/1/012110
Subject(s) - stencil , continuation , grid , point (geometry) , numerical analysis , mathematical analysis , scheme (mathematics) , mathematics , order of accuracy , computer science , geometry , numerical stability , computational science , programming language
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.