On Mixed Isogeometric Analysis of Poroelasticity
Numerical Analysis
2025-02-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1706.01275,
title = {On Mixed Isogeometric Analysis of Poroelasticity},
author = {Yared W. Bekele and Eivind Fonn and Trond Kvamsdal and Arne M. Kvarving and Steinar Nordal},
journal= {arXiv preprint arXiv:1706.01275},
year = {2025}
}