Simulation of Propagation of Dynamic Perturbations in Porous Media by the Grid-Characteristic Method with Explicit Description of Heterogeneities

Wave perturbations propagating through heterogeneous media with porous inclusions are numerically simulated, and an explicit description of porous heterogeneities is considered. The method of overlapping meshes is proposed for an explicit description of heterogeneities. The arising systems of partia...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2023-10, Vol.63 (10), p.1904-1917
Main Authors: Mitskovets, I. A., Khokhlov, N. I.
Format: Article
Language:English
Subjects:
Algorithms
Computational grids
Computational Mathematics and Numerical Analysis
Heterogeneity
Inclusions
Mathematical Physics
Mathematics
Mathematics and Statistics
Partial differential equations
Perturbation
Propagation
Simulation
Wave propagation
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Summary:Wave perturbations propagating through heterogeneous media with porous inclusions are numerically simulated, and an explicit description of porous heterogeneities is considered. The method of overlapping meshes is proposed for an explicit description of heterogeneities. The arising systems of partial differential equations are solved numerically by applying the grid-characteristic method. The features of the method are discussed, the proposed algorithms are verified, and a series of test computations is conducted.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542523100093