View in EDS PDF Full Text

Multigrid Domain Decomposition Method for the Coupled Navier-Stokes-Darcy Problem.

Saved in:
Bibliographic Details
Title: Multigrid Domain Decomposition Method for the Coupled Navier-Stokes-Darcy Problem.
Authors: Li, Yuhui1 liyuhui200201@163.com, Zuo, Liyun2 sms_zuoly@ujn.edu.cn
Source: Engineering Letters. Jul2026, Vol. 34 Issue 7, p3040-3046. 7p.
Subjects: Domain decomposition methods, Navier-Stokes equations, Multigrid methods (Numerical analysis), Scalability, Groundwater flow, Numerical analysis
Abstract: In this paper, we propose and analyze a multigrid domain decomposition method for coupling Navier-Stokes-Darcy problem. This method combines the Robin decomposition framework with a multilevel solution strategy. On a coarse grid, we use the Robin-type domain decomposition method to solve the coupling problem first. Then, on a series of refined grids, the interface information of the previous grid is used as an approximate value to solve the Navier-Stokes and Darcy subproblems. This approach effectively integrates the decoupling efficiency of domain decomposition with the computational economy of multigrid methods. Through rigorous theoretical analysis, we establish the well-posedness, convergence, and stability of the algorithm. The scalability of the method is also theoretically verified, demonstrating its robustness for large-scale simulations. [ABSTRACT FROM AUTHOR]
Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 195088802
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Multigrid Domain Decomposition Method for the Coupled Navier-Stokes-Darcy Problem.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Li%2C+Yuhui%22">Li, Yuhui</searchLink><relatesTo>1</relatesTo><i> liyuhui200201@163.com</i><br /><searchLink fieldCode="AR" term="%22Zuo%2C+Liyun%22">Zuo, Liyun</searchLink><relatesTo>2</relatesTo><i> sms_zuoly@ujn.edu.cn</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Engineering+Letters%22">Engineering Letters</searchLink>. Jul2026, Vol. 34 Issue 7, p3040-3046. 7p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Domain+decomposition+methods%22">Domain decomposition methods</searchLink><br /><searchLink fieldCode="DE" term="%22Navier-Stokes+equations%22">Navier-Stokes equations</searchLink><br /><searchLink fieldCode="DE" term="%22Multigrid+methods+%28Numerical+analysis%29%22">Multigrid methods (Numerical analysis)</searchLink><br /><searchLink fieldCode="DE" term="%22Scalability%22">Scalability</searchLink><br /><searchLink fieldCode="DE" term="%22Groundwater+flow%22">Groundwater flow</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this paper, we propose and analyze a multigrid domain decomposition method for coupling Navier-Stokes-Darcy problem. This method combines the Robin decomposition framework with a multilevel solution strategy. On a coarse grid, we use the Robin-type domain decomposition method to solve the coupling problem first. Then, on a series of refined grids, the interface information of the previous grid is used as an approximate value to solve the Navier-Stokes and Darcy subproblems. This approach effectively integrates the decoupling efficiency of domain decomposition with the computational economy of multigrid methods. Through rigorous theoretical analysis, we establish the well-posedness, convergence, and stability of the algorithm. The scalability of the method is also theoretically verified, demonstrating its robustness for large-scale simulations. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=195088802
RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 7
        StartPage: 3040
    Subjects:
      – SubjectFull: Domain decomposition methods
        Type: general
      – SubjectFull: Navier-Stokes equations
        Type: general
      – SubjectFull: Multigrid methods (Numerical analysis)
        Type: general
      – SubjectFull: Scalability
        Type: general
      – SubjectFull: Groundwater flow
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
    Titles:
      – TitleFull: Multigrid Domain Decomposition Method for the Coupled Navier-Stokes-Darcy Problem.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Li, Yuhui
      – PersonEntity:
          Name:
            NameFull: Zuo, Liyun
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 07
              Text: Jul2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 1816093X
          Numbering:
            – Type: volume
              Value: 34
            – Type: issue
              Value: 7
          Titles:
            – TitleFull: Engineering Letters
              Type: main
ResultId 1