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Exploring a Novel Adaptive Mesh Refinement Strategy for Transonic Flows.

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Title: Exploring a Novel Adaptive Mesh Refinement Strategy for Transonic Flows.
Authors: Vedam, Arjun J.1 (AUTHOR) arjun.vedam@gmail.com, Engblom, William A.1 (AUTHOR)
Source: International Journal for Numerical Methods in Engineering. 12/30/2025, Vol. 126 Issue 24, p1-24. 24p.
Subjects: Transonic flow, Computational fluid dynamics, Approximation error, Iterative methods (Mathematics), Numerical analysis, Vector fields
Abstract: A novel Adaptive Mesh Refinement (AMR) strategy is developed and evaluated for transonic high‐speed flows using Ansys Fluent. The algorithm for marking cells for adaptation is designed to systematically reduce local truncation errors based on the curvature of the primitive vector field. The algorithm for marking cells for adaptation is described in sufficient detail to be portable to other flow solvers that offer AMR. The relative importance of each primitive vector variable within the scheme is evaluated using both equal‐weighting and optimized‐weighting approaches. Variations of the proposed algorithm that use flow gradients or limit adaptation regionally are also investigated. The negative consequences of adaptation without enforcing the original smooth surface shape are demonstrated. An equal‐weighted, primitive vector curvature‐based strategy is shown to typically produce near‐grid‐independent results with an order of magnitude less grid required than classic grid refinement. [ABSTRACT FROM AUTHOR]
Copyright of International Journal for Numerical Methods in Engineering is the property of Wiley-Blackwell 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.)
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DbLabel: Engineering Source
An: 190548841
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  Data: Exploring a Novel Adaptive Mesh Refinement Strategy for Transonic Flows.
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  Data: <searchLink fieldCode="AR" term="%22Vedam%2C+Arjun+J%2E%22">Vedam, Arjun J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> arjun.vedam@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Engblom%2C+William+A%2E%22">Engblom, William A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+for+Numerical+Methods+in+Engineering%22">International Journal for Numerical Methods in Engineering</searchLink>. 12/30/2025, Vol. 126 Issue 24, p1-24. 24p.
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  Data: <searchLink fieldCode="DE" term="%22Transonic+flow%22">Transonic flow</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+fluid+dynamics%22">Computational fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+error%22">Approximation error</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Vector+fields%22">Vector fields</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: A novel Adaptive Mesh Refinement (AMR) strategy is developed and evaluated for transonic high‐speed flows using Ansys Fluent. The algorithm for marking cells for adaptation is designed to systematically reduce local truncation errors based on the curvature of the primitive vector field. The algorithm for marking cells for adaptation is described in sufficient detail to be portable to other flow solvers that offer AMR. The relative importance of each primitive vector variable within the scheme is evaluated using both equal‐weighting and optimized‐weighting approaches. Variations of the proposed algorithm that use flow gradients or limit adaptation regionally are also investigated. The negative consequences of adaptation without enforcing the original smooth surface shape are demonstrated. An equal‐weighted, primitive vector curvature‐based strategy is shown to typically produce near‐grid‐independent results with an order of magnitude less grid required than classic grid refinement. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal for Numerical Methods in Engineering is the property of Wiley-Blackwell 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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        Text: English
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      – SubjectFull: Transonic flow
        Type: general
      – SubjectFull: Computational fluid dynamics
        Type: general
      – SubjectFull: Approximation error
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      – SubjectFull: Iterative methods (Mathematics)
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      – SubjectFull: Numerical analysis
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      – SubjectFull: Vector fields
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              Text: 12/30/2025
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