Super-time-stepping acceleration within the discrete element framework for thermal and electric analyses in granular materials.
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| Title: | Super-time-stepping acceleration within the discrete element framework for thermal and electric analyses in granular materials. |
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| Authors: | Rojek, Jerzy1 (AUTHOR) jrojek@ippt.pan.pl, Nisar, Fatima1 (AUTHOR) fnisar@ippt.pan.pl |
| Source: | Granular Matter. Jul2026, Vol. 28 Issue 3, p1-23. 23p. |
| Subjects: | Discrete element method, Time integration scheme, Numerical analysis, Granular materials, Heat transfer, Thermal analysis, Electric conductivity |
| Abstract: | Heat transfer and electrical transport in granular materials are important phenomena in many engineering applications. The discrete element method (DEM) is commonly used to simulate conduction in such media. The DEM usually employs explicit time integration algorithms due to their computational efficiency. The first-order differential equations describing transient thermal or electric problems in the DEM are commonly solved using the forward Euler explicit solution scheme. All explicit schemes have a serious disadvantage of conditional stability, which limits the time step length. The present paper introduces the super-time-stepping (STS) acceleration method into the DEM framework for transient thermal and electric problems governed by the first-order differential equations. The STS idea consists of relaxing the stability condition for single steps and imposing the stability on a cycle of steps (substeps), making up the so-called superstep. The length of the superstep is much longer than the critical time step of the standard explicit time integration. This is an established method for solving parabolic differential equations, commonly recognized for its advantages over the standard explicit time integration. Despite the efficiency, its application within the DEM framework remains unexplored. Herein, STS is applied to thermal and thermoelectric simulations. The efficiency and accuracy of the STS scheme for different combinations of parameters are investigated. The results demonstrate that speedup of up to 15 is achievable without compromising accuracy. The strong performance justifies a wider applicability of the STS acceleration scheme in the DEM for problems governed by the first-order differential equations. [ABSTRACT FROM AUTHOR] |
| Copyright of Granular Matter 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.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 194302915 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Super-time-stepping acceleration within the discrete element framework for thermal and electric analyses in granular materials. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Rojek%2C+Jerzy%22">Rojek, Jerzy</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jrojek@ippt.pan.pl</i><br /><searchLink fieldCode="AR" term="%22Nisar%2C+Fatima%22">Nisar, Fatima</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> fnisar@ippt.pan.pl</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Granular+Matter%22">Granular Matter</searchLink>. Jul2026, Vol. 28 Issue 3, p1-23. 23p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Discrete+element+method%22">Discrete element method</searchLink><br /><searchLink fieldCode="DE" term="%22Time+integration+scheme%22">Time integration scheme</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Granular+materials%22">Granular materials</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+transfer%22">Heat transfer</searchLink><br /><searchLink fieldCode="DE" term="%22Thermal+analysis%22">Thermal analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+conductivity%22">Electric conductivity</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Heat transfer and electrical transport in granular materials are important phenomena in many engineering applications. The discrete element method (DEM) is commonly used to simulate conduction in such media. The DEM usually employs explicit time integration algorithms due to their computational efficiency. The first-order differential equations describing transient thermal or electric problems in the DEM are commonly solved using the forward Euler explicit solution scheme. All explicit schemes have a serious disadvantage of conditional stability, which limits the time step length. The present paper introduces the super-time-stepping (STS) acceleration method into the DEM framework for transient thermal and electric problems governed by the first-order differential equations. The STS idea consists of relaxing the stability condition for single steps and imposing the stability on a cycle of steps (substeps), making up the so-called superstep. The length of the superstep is much longer than the critical time step of the standard explicit time integration. This is an established method for solving parabolic differential equations, commonly recognized for its advantages over the standard explicit time integration. Despite the efficiency, its application within the DEM framework remains unexplored. Herein, STS is applied to thermal and thermoelectric simulations. The efficiency and accuracy of the STS scheme for different combinations of parameters are investigated. The results demonstrate that speedup of up to 15 is achievable without compromising accuracy. The strong performance justifies a wider applicability of the STS acceleration scheme in the DEM for problems governed by the first-order differential equations. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Granular Matter 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/s10035-026-01646-8 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 23 StartPage: 1 Subjects: – SubjectFull: Discrete element method Type: general – SubjectFull: Time integration scheme Type: general – SubjectFull: Numerical analysis Type: general – SubjectFull: Granular materials Type: general – SubjectFull: Heat transfer Type: general – SubjectFull: Thermal analysis Type: general – SubjectFull: Electric conductivity Type: general Titles: – TitleFull: Super-time-stepping acceleration within the discrete element framework for thermal and electric analyses in granular materials. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Rojek, Jerzy – PersonEntity: Name: NameFull: Nisar, Fatima IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 14345021 Numbering: – Type: volume Value: 28 – Type: issue Value: 3 Titles: – TitleFull: Granular Matter Type: main |
| ResultId | 1 |
