On Mixed Isogeometric Analysis of Poroelasticity

التفاصيل البيبلوغرافية
العنوان: On Mixed Isogeometric Analysis of Poroelasticity
المؤلفون: Bekele, Yared W., Fonn, Eivind, Kvamsdal, Trond, Kvarving, Arne M., Nordal, Steinar
سنة النشر: 2017
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Numerical Analysis
الوصف: 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.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1706.01275
رقم الأكسشن: edsarx.1706.01275
قاعدة البيانات: arXiv