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Approximate Factorization Method Using Alternating Cell Direction Implicit Method: Comparison of Convergence Characteristics Using Basic Model Equations.

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Název: Approximate Factorization Method Using Alternating Cell Direction Implicit Method: Comparison of Convergence Characteristics Using Basic Model Equations.
Autoři: ÇETE, Ali Ruhşen
Zdroj: Kuwait Journal of Science; 2021, Vol. 48 Issue 3, p1-13, 13p
Témata: POTENTIAL flow, INCOMPRESSIBLE flow, EQUATIONS
Abstrakt: In this paper, a fast implicit iteration scheme called the alternating cell directions implicit (ACDI) method is combined with the approximate factorization scheme. The use of fast implicit iteration methods with unstructured grids is hardly. The proposed method allows fast implicit formulations to be used in unstructured meshes, revealing the advantages of fast implicit schemes in unstructured meshes. Fast implicit schemes used in structured meshes have evolved considerably and are much more accurate and robust, and are faster than explicit schemes. It is a crucial novel development that such developed schemes can be applied to unstructured schemes. In steady incompressible potential flow, the convergence character of the scheme is compared with the Runge-Kutta order 4 (RK4), Laasonen, point Gauss–Seidel iteration, old version ACDI, and line Gauss–Seidel iteration methods. The scheme behaves like an approximation of the fully implicit method (Laasonen) up to an optimum pseudo-time-step size. This is a highly anticipated result because the approximate factorization method is an approach to a fully implicit formulation. The results of the numerical study are compared with other fast implicit methods (e.g., the point and line Gauss–Seidel methods), the RK4 method, which is an explicit scheme, and the Laasonen method, which is a fully implicit scheme. The study increased the accuracy of the ACDI method. Thus, the new ACDI method is faster in unstructured grids than other methods and can be used for any mesh construction. [ABSTRACT FROM AUTHOR]
Copyright of Kuwait Journal of Science is the property of Kuwait University, Academic Publication Council 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.)
Databáze: Complementary Index
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  Label: Title
  Group: Ti
  Data: Approximate Factorization Method Using Alternating Cell Direction Implicit Method: Comparison of Convergence Characteristics Using Basic Model Equations.
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22ÇETE%2C+Ali+Ruhşen%22">ÇETE, Ali Ruhşen</searchLink>
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  Data: Kuwait Journal of Science; 2021, Vol. 48 Issue 3, p1-13, 13p
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  Data: <searchLink fieldCode="DE" term="%22POTENTIAL+flow%22">POTENTIAL flow</searchLink><br /><searchLink fieldCode="DE" term="%22INCOMPRESSIBLE+flow%22">INCOMPRESSIBLE flow</searchLink><br /><searchLink fieldCode="DE" term="%22EQUATIONS%22">EQUATIONS</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this paper, a fast implicit iteration scheme called the alternating cell directions implicit (ACDI) method is combined with the approximate factorization scheme. The use of fast implicit iteration methods with unstructured grids is hardly. The proposed method allows fast implicit formulations to be used in unstructured meshes, revealing the advantages of fast implicit schemes in unstructured meshes. Fast implicit schemes used in structured meshes have evolved considerably and are much more accurate and robust, and are faster than explicit schemes. It is a crucial novel development that such developed schemes can be applied to unstructured schemes. In steady incompressible potential flow, the convergence character of the scheme is compared with the Runge-Kutta order 4 (RK4), Laasonen, point Gauss–Seidel iteration, old version ACDI, and line Gauss–Seidel iteration methods. The scheme behaves like an approximation of the fully implicit method (Laasonen) up to an optimum pseudo-time-step size. This is a highly anticipated result because the approximate factorization method is an approach to a fully implicit formulation. The results of the numerical study are compared with other fast implicit methods (e.g., the point and line Gauss–Seidel methods), the RK4 method, which is an explicit scheme, and the Laasonen method, which is a fully implicit scheme. The study increased the accuracy of the ACDI method. Thus, the new ACDI method is faster in unstructured grids than other methods and can be used for any mesh construction. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Kuwait Journal of Science is the property of Kuwait University, Academic Publication Council 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.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.48129/kjs.v48i3.9137
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      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 13
        StartPage: 1
    Subjects:
      – SubjectFull: POTENTIAL flow
        Type: general
      – SubjectFull: INCOMPRESSIBLE flow
        Type: general
      – SubjectFull: EQUATIONS
        Type: general
    Titles:
      – TitleFull: Approximate Factorization Method Using Alternating Cell Direction Implicit Method: Comparison of Convergence Characteristics Using Basic Model Equations.
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            NameFull: ÇETE, Ali Ruhşen
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            – D: 01
              M: 07
              Text: 2021
              Type: published
              Y: 2021
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              Value: 48
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              Value: 3
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            – TitleFull: Kuwait Journal of Science
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