RAS MathematicsЖурнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics

  • ISSN (Print) 0044-4669
  • ISSN (Online) 3034-533

COMBINING THE GRID-CHARACTERISTIC METHOD WITH THE DISCONTINUOUS GALERKIN METHOD FOR MODELING WAVE PROPAGATION IN LINEAR ELASTIC MEDIA IN THE THREE-DIMENSIONAL CASE

PII
S3034533S0044466925020081-1
DOI
10.7868/S303453325020081
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 65 / Issue number 2
Pages
222-234
Abstract
This paper considers an example of the combined use of the grid-characteristic method on regular structured computational grids and the discontinuous Galerkin method on tetrahedral grids to solve a three-dimensional direct problem of elastic wave propagation in a geological medium consisting of four layers represented as a linear-elastic medium with different parameters and arbitrary curvilinear boundaries. A special algorithm is used to stitch the numerical methods, taking into account the features of the transition from an irregular tetrahedral computational grid to a regular structured computational grid in three-dimensional space. A comparative analysis of the convergence of the resulting combined method with the grid-characteristic method on curvilinear structured computational grids is given depending on the change in the step in spatial directions. The wave field of the modulus of the disturbance propagation velocity from the source is obtained.
Keywords
численное моделирование сеточно-характеристический метод разрывный метод Галеркина расчетные сетки сейсморазведка сейсмическая топография
Date of publication
01.02.2025
Year of publication
2025
Number of purchasers
0
Views
72

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