Reproducing kernel enhanced material point method with improved artificial viscosity formulations for shock wave and vortical compressible flows.
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| Title: | Reproducing kernel enhanced material point method with improved artificial viscosity formulations for shock wave and vortical compressible flows. |
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| Authors: | Peddavarapu, Sreehari1,2 (AUTHOR), Huang, Tsung-Hui1 (AUTHOR) thhuang@mx.nthu.edu.tw |
| Source: | Computational Mechanics. Sep2025, Vol. 76 Issue 3, p797-828. 32p. |
| Subjects: | Shock waves, Material point method, Damping (Mechanics), Reproducing kernel (Mathematics), Swirling flow, Fluid dynamics, Meshfree methods, Viscosity |
| Abstract: | The modeling of inviscid compressible flows under a Lagrangian description with shock waves and/or vortical structures is challenging when using conventional mesh-based methods owing to severe mesh distortion and the instability caused by moving discontinuities. By contrast, meshfree methods such as the material point method (MPM) reduce mesh sensitivity but may suffer from low accuracy and instability due to cell-crossing instability and the inadequacy of the existing artificial viscosity (AV) formulations for stabilization. In this study, we present a reproducing kernel (RK)-stabilized MPM that incorporates an enhanced tensorial AV model to address these challenges. A mixed formulation is developed to solve the momentum and energy conservation equations, while the smooth RK approximation is used to mitigate cell-crossing instability. To address the instability induced by moving discontinuities, we improve the classical AV by incorporating tensorial forms of the gradient/divergence operator and following a vorticity-based blending approach. This allows us to appropriately regulate numerical dissipation in terms of dilatational and deviatoric strain rates. The proposed formulation is validated by applying it to classical benchmark problems involving shock and rarefaction waves, interfacial flows, and vortical structures. [ABSTRACT FROM AUTHOR] |
| Copyright of Computational Mechanics is the property of Springer Nature 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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| Header | DbId: egs DbLabel: Engineering Source An: 188150927 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Reproducing kernel enhanced material point method with improved artificial viscosity formulations for shock wave and vortical compressible flows. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Peddavarapu%2C+Sreehari%22">Peddavarapu, Sreehari</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Huang%2C+Tsung-Hui%22">Huang, Tsung-Hui</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> thhuang@mx.nthu.edu.tw</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computational+Mechanics%22">Computational Mechanics</searchLink>. Sep2025, Vol. 76 Issue 3, p797-828. 32p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Shock+waves%22">Shock waves</searchLink><br /><searchLink fieldCode="DE" term="%22Material+point+method%22">Material point method</searchLink><br /><searchLink fieldCode="DE" term="%22Damping+%28Mechanics%29%22">Damping (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Reproducing+kernel+%28Mathematics%29%22">Reproducing kernel (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Swirling+flow%22">Swirling flow</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Meshfree+methods%22">Meshfree methods</searchLink><br /><searchLink fieldCode="DE" term="%22Viscosity%22">Viscosity</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The modeling of inviscid compressible flows under a Lagrangian description with shock waves and/or vortical structures is challenging when using conventional mesh-based methods owing to severe mesh distortion and the instability caused by moving discontinuities. By contrast, meshfree methods such as the material point method (MPM) reduce mesh sensitivity but may suffer from low accuracy and instability due to cell-crossing instability and the inadequacy of the existing artificial viscosity (AV) formulations for stabilization. In this study, we present a reproducing kernel (RK)-stabilized MPM that incorporates an enhanced tensorial AV model to address these challenges. A mixed formulation is developed to solve the momentum and energy conservation equations, while the smooth RK approximation is used to mitigate cell-crossing instability. To address the instability induced by moving discontinuities, we improve the classical AV by incorporating tensorial forms of the gradient/divergence operator and following a vorticity-based blending approach. This allows us to appropriately regulate numerical dissipation in terms of dilatational and deviatoric strain rates. The proposed formulation is validated by applying it to classical benchmark problems involving shock and rarefaction waves, interfacial flows, and vortical structures. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computational Mechanics is the property of Springer Nature 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: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00466-025-02627-z Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 32 StartPage: 797 Subjects: – SubjectFull: Shock waves Type: general – SubjectFull: Material point method Type: general – SubjectFull: Damping (Mechanics) Type: general – SubjectFull: Reproducing kernel (Mathematics) Type: general – SubjectFull: Swirling flow Type: general – SubjectFull: Fluid dynamics Type: general – SubjectFull: Meshfree methods Type: general – SubjectFull: Viscosity Type: general Titles: – TitleFull: Reproducing kernel enhanced material point method with improved artificial viscosity formulations for shock wave and vortical compressible flows. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Peddavarapu, Sreehari – PersonEntity: Name: NameFull: Huang, Tsung-Hui IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 01787675 Numbering: – Type: volume Value: 76 – Type: issue Value: 3 Titles: – TitleFull: Computational Mechanics Type: main |
| ResultId | 1 |
