Simulation of acoustic waves in 2D circular regions using the multi-block structured grid finite-difference method.

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Title: Simulation of acoustic waves in 2D circular regions using the multi-block structured grid finite-difference method.
Authors: Fang, Changjiang1, Zhang, Zhenguo1, Ren, Hengxin1 renhx@sustech.edu.cn, Zhang, Heng1, Wang, Wenqiang1, Lu, Zhaoyang1, Zhan, Qiwei2, Zhang, Wei1, Huang, Qinghua3, Chen, Xiaofei1
Source: Earthquake Science. Nov2025, Vol. 38 Issue 6, p531-544. 14p.
Subject Terms: *Sound waves, *Internal structure of the Earth, *Numerical grid generation (Numerical analysis), *Two-dimensional models, *Finite difference method, *Grids (Cartography), *Theory of wave motion, *Computer simulation
Abstract: Global acoustic simulations are significant in revealing the internal and physical structure of the Earth. However, due to the limited flexibility of grids and the difficulties in handling boundaries, the traditional finite-difference method (FDM) is usually less used in global simulations. Nevertheless, these issues can be well resolved by employing a multi-block structured grid to discretize circular regions. In this paper, we propose an O-H grid approach to partition the circular region and utilize the curvilinear grid finite-difference method (CGFDM) to solve the acoustic wave equation within this circular domain. By appropriately stretching the grid, the interconnections between each grid block are sufficiently smooth for stable information exchange. To verify the efficacy of this method, we conducted three numerical experiments, by comparing results with alternative approaches. Our test results demonstrate good agreement between our findings and the reference solutions. Since the proposed algorithm can effectively solve wave propagation problems in circular regions, it can contribute to 2D global simulation, particularly in interpreting the Earth’s interior. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Header DbId: enr
DbLabel: Energy & Power Source
An: 189739972
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Simulation of acoustic waves in 2D circular regions using the multi-block structured grid finite-difference method.
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  Label: Authors
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  Data: <searchLink fieldCode="AR" term="%22Fang%2C+Changjiang%22">Fang, Changjiang</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Zhenguo%22">Zhang, Zhenguo</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Ren%2C+Hengxin%22">Ren, Hengxin</searchLink><relatesTo>1</relatesTo><i> renhx@sustech.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Heng%22">Zhang, Heng</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Wang%2C+Wenqiang%22">Wang, Wenqiang</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Lu%2C+Zhaoyang%22">Lu, Zhaoyang</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Zhan%2C+Qiwei%22">Zhan, Qiwei</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Wei%22">Zhang, Wei</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Huang%2C+Qinghua%22">Huang, Qinghua</searchLink><relatesTo>3</relatesTo><br /><searchLink fieldCode="AR" term="%22Chen%2C+Xiaofei%22">Chen, Xiaofei</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Earthquake+Science%22">Earthquake Science</searchLink>. Nov2025, Vol. 38 Issue 6, p531-544. 14p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Sound+waves%22">Sound waves</searchLink><br />*<searchLink fieldCode="DE" term="%22Internal+structure+of+the+Earth%22">Internal structure of the Earth</searchLink><br />*<searchLink fieldCode="DE" term="%22Numerical+grid+generation+%28Numerical+analysis%29%22">Numerical grid generation (Numerical analysis)</searchLink><br />*<searchLink fieldCode="DE" term="%22Two-dimensional+models%22">Two-dimensional models</searchLink><br />*<searchLink fieldCode="DE" term="%22Finite+difference+method%22">Finite difference method</searchLink><br />*<searchLink fieldCode="DE" term="%22Grids+%28Cartography%29%22">Grids (Cartography)</searchLink><br />*<searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br />*<searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Global acoustic simulations are significant in revealing the internal and physical structure of the Earth. However, due to the limited flexibility of grids and the difficulties in handling boundaries, the traditional finite-difference method (FDM) is usually less used in global simulations. Nevertheless, these issues can be well resolved by employing a multi-block structured grid to discretize circular regions. In this paper, we propose an O-H grid approach to partition the circular region and utilize the curvilinear grid finite-difference method (CGFDM) to solve the acoustic wave equation within this circular domain. By appropriately stretching the grid, the interconnections between each grid block are sufficiently smooth for stable information exchange. To verify the efficacy of this method, we conducted three numerical experiments, by comparing results with alternative approaches. Our test results demonstrate good agreement between our findings and the reference solutions. Since the proposed algorithm can effectively solve wave propagation problems in circular regions, it can contribute to 2D global simulation, particularly in interpreting the Earth’s interior. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.eqs.2025.08.005
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 14
        StartPage: 531
    Subjects:
      – SubjectFull: Sound waves
        Type: general
      – SubjectFull: Internal structure of the Earth
        Type: general
      – SubjectFull: Numerical grid generation (Numerical analysis)
        Type: general
      – SubjectFull: Two-dimensional models
        Type: general
      – SubjectFull: Finite difference method
        Type: general
      – SubjectFull: Grids (Cartography)
        Type: general
      – SubjectFull: Theory of wave motion
        Type: general
      – SubjectFull: Computer simulation
        Type: general
    Titles:
      – TitleFull: Simulation of acoustic waves in 2D circular regions using the multi-block structured grid finite-difference method.
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            NameFull: Fang, Changjiang
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          Dates:
            – D: 01
              M: 11
              Text: Nov2025
              Type: published
              Y: 2025
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            – Type: issn-print
              Value: 16744519
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              Value: 38
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              Value: 6
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            – TitleFull: Earthquake Science
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