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Numerical Implementation of Boundary Conditions for Finite Difference Method on Staggered Grid for Wave Propagation in Saturated Porous Medium Full article

Conference Computational Science and Its Applications
30 Jun - 3 Jul 2025 , Istanbul
Source Computational Science and Its Applications (ICCSA 2025 Workshops) : Proceedings
Compilation, Springer Cham. Switzerland.2026. 462 c. ISBN 978-3-031-97596-7.
Journal Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349
Output data Year: 2025, Volume: 15888, Pages: 359-375 Pages count : 17 DOI: 10.1007/978-3-031-97596-7_24
Tags Wavefield simulation, Fluid saturated porous medium, Boundary conditions, Staggered grid finite difference scheme
Authors Reshetova Galina 1 , Romenski Evgeniy 2
Affiliations
1 Institute of Computational Mathematics and Mathematical Geophysics SB RAS
2 Sobolev Institute of Mathematics SB RAS

Funding (2)

1 Russian Science Foundation 19-77-20004-П
2 Institute of Computational Mathematics and Mathematical Geophysics FWNM-2025-0004

Abstract: This paper presents a numerical implementation of boundary conditions in the finite difference staggered grid method for a Hyperbolic Thermodynamically Compatible (HTC) model of wavefields simulations in a three-phase model of a deformable porous medium saturated with a mixture of two fluids. A number of test problems on the propagation of high-frequency waves have been solved and it has been shown that the developed numerical method is applicable to non-stationary processes in domains of complex structure. The method can also be applied to obtain a steady-state solution of the equilibrium equations of a saturated porous medium by solving a nonstationary system.
Cite: Reshetova G. , Romenski E.
Numerical Implementation of Boundary Conditions for Finite Difference Method on Staggered Grid for Wave Propagation in Saturated Porous Medium
In compilation Computational Science and Its Applications (ICCSA 2025 Workshops) : Proceedings. – Springer Cham., 2025. – Т.Part III. – C.359-375. – ISBN 978-3-031-97596-7. DOI: 10.1007/978-3-031-97596-7_24 Scopus OpenAlex
Dates:
Published print: May 28, 2025
Published online: May 28, 2025
Identifiers:
Scopus: 2-s2.0-105010818967
OpenAlex: W4412058980
Citing: Пока нет цитирований
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