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This article is cited in 2 scientific papers (total in 2 papers)
General numerical methods
Boundary and contact conditions of higher order of accuracy for grid-characteristic schemes in acoustic problems
A. V. Shevchenkoab, V. I. Golubevab a Moscow Institute of Physics and Technology (National Research University), 141701, Dolgoprudnyi, Moscow oblast, Russia
b Institute of Computer Aided Design, Russian Academy of Sciences, 123056, Moscow, Russia
Abstract:
Seismic wave propagation through geological media is described by linear hyperbolic systems of equations. They correspond to acoustic, isotropic, and anisotropic linear elastic porous fluid-saturated models. They can be solved numerically by applying grid-characteristic schemes, which take into account propagation of solution discontinuities along characteristics. An important property of schemes used in practice is their high order of accuracy, due to which signal wavefronts can be clearly resolved. Previously, much attention was given to this property at interior points of the computational domain. In this paper, we study the order of a scheme up to the boundary of the domain inclusive. An approach is proposed whereby arbitrary linear boundary and contact conditions can be set up to high accuracy. The presentation is given for the system of one-dimensional acoustic equations with constant coefficients.
Key words:
grid-characteristic method, boundary conditions, contact conditions, acoustic equations.
Received: 22.02.2023 Revised: 02.03.2023 Accepted: 26.06.2023
Citation:
A. V. Shevchenko, V. I. Golubev, “Boundary and contact conditions of higher order of accuracy for grid-characteristic schemes in acoustic problems”, Zh. Vychisl. Mat. Mat. Fiz., 63:10 (2023), 1600–1613; Comput. Math. Math. Phys., 63:10 (2023), 1760–1772
Linking options:
https://www.mathnet.ru/eng/zvmmf11627 https://www.mathnet.ru/eng/zvmmf/v63/i10/p1600
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