On Mixed Isogeometric Analysis of Poroelasticity
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2017
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| Subjects: | |
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| _version_ | 1866915171721543680 |
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| author | Bekele, Yared W. Fonn, Eivind Kvamsdal, Trond Kvarving, Arne M. Nordal, Steinar |
| author_facet | Bekele, Yared W. Fonn, Eivind Kvamsdal, Trond Kvarving, Arne M. Nordal, Steinar |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1706_01275 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | On Mixed Isogeometric Analysis of Poroelasticity Bekele, Yared W. Fonn, Eivind Kvamsdal, Trond Kvarving, Arne M. Nordal, Steinar Numerical Analysis 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. |
| title | On Mixed Isogeometric Analysis of Poroelasticity |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/1706.01275 |