Mixed Method for Isogeometric Analysis of Coupled Flow and Deformation in Poroelastic Media

Author:

Bekele Yared WorkuORCID,Fonn Eivind,Kvamsdal TrondORCID,Kvarving Arne Morten,Nordal SteinarORCID

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.

Funder

Research Council of Norway

Publisher

MDPI AG

Subject

Fluid Flow and Transfer Processes,Computer Science Applications,Process Chemistry and Technology,General Engineering,Instrumentation,General Materials Science

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