Mixed Method for Isogeometric Analysis of Coupled Flow and Deformation in Poroelastic Media
Pressure oscillations at small time steps have been known to be an issue in poroelasticity simulations. A review of proposed approaches to overcome this problem is presented. Critical time steps are specified to alleviate this in finite element analyses. We present a mixed isogeometric formulation h...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/6/2915 |
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| author | Yared Worku Bekele Eivind Fonn Trond Kvamsdal Arne Morten Kvarving Steinar Nordal |
| author_facet | Yared Worku Bekele Eivind Fonn Trond Kvamsdal Arne Morten Kvarving Steinar Nordal |
| author_sort | Yared Worku Bekele |
| collection | DOAJ |
| description | Pressure oscillations at small time steps have been known to be an issue in poroelasticity simulations. A review of proposed approaches to overcome this problem is presented. Critical time steps are specified to alleviate this in finite element analyses. We present a mixed isogeometric formulation here with a view to assessing the results at very small time steps. Numerical studies are performed on Terzaghi’s problem and consolidation of a layered porous medium with a very low permeability layer for varying polynomial degrees, continuities across knot spans and spatial discretizations. Comparisons are made with equal order simulations. |
| first_indexed | 2024-03-09T20:09:24Z |
| format | Article |
| id | doaj.art-157a8e5359634fd8a50c8e00fe5ffd25 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T20:09:24Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-157a8e5359634fd8a50c8e00fe5ffd252023-11-24T00:21:20ZengMDPI AGApplied Sciences2076-34172022-03-01126291510.3390/app12062915Mixed Method for Isogeometric Analysis of Coupled Flow and Deformation in Poroelastic MediaYared Worku Bekele0Eivind Fonn1Trond Kvamsdal2Arne Morten Kvarving3Steinar Nordal4Rock and Soil Mechanics Group, SINTEF AS, 7031 Trondheim, NorwayMathematics and Cybernetics, SINTEF AS, 7031 Trondheim, NorwayMathematics and Cybernetics, SINTEF AS, 7031 Trondheim, NorwayMathematics and Cybernetics, SINTEF AS, 7031 Trondheim, NorwayDepartment of Civil and Environmental Engineering, NTNU, 7491 Trondheim, NorwayPressure oscillations at small time steps have been known to be an issue in poroelasticity simulations. A review of proposed approaches to overcome this problem is presented. Critical time steps are specified to alleviate this in finite element analyses. We present a mixed isogeometric formulation here with a view to assessing the results at very small time steps. Numerical studies are performed on Terzaghi’s problem and consolidation of a layered porous medium with a very low permeability layer for varying polynomial degrees, continuities across knot spans and spatial discretizations. Comparisons are made with equal order simulations.https://www.mdpi.com/2076-3417/12/6/2915poroelasticityisogeometric analysismixed formulationpressure oscillations |
| spellingShingle | Yared Worku Bekele Eivind Fonn Trond Kvamsdal Arne Morten Kvarving Steinar Nordal Mixed Method for Isogeometric Analysis of Coupled Flow and Deformation in Poroelastic Media Applied Sciences poroelasticity isogeometric analysis mixed formulation pressure oscillations |
| title | Mixed Method for Isogeometric Analysis of Coupled Flow and Deformation in Poroelastic Media |
| title_full | Mixed Method for Isogeometric Analysis of Coupled Flow and Deformation in Poroelastic Media |
| title_fullStr | Mixed Method for Isogeometric Analysis of Coupled Flow and Deformation in Poroelastic Media |
| title_full_unstemmed | Mixed Method for Isogeometric Analysis of Coupled Flow and Deformation in Poroelastic Media |
| title_short | Mixed Method for Isogeometric Analysis of Coupled Flow and Deformation in Poroelastic Media |
| title_sort | mixed method for isogeometric analysis of coupled flow and deformation in poroelastic media |
| topic | poroelasticity isogeometric analysis mixed formulation pressure oscillations |
| url | https://www.mdpi.com/2076-3417/12/6/2915 |
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