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

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.
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Category

Academic article

Language

English

Affiliation

  • SINTEF Community / Infrastructure
  • SINTEF Digital / Mathematics and Cybernetics
  • Norwegian University of Science and Technology

Year

2022

Published in

Applied Sciences

Volume

12

Issue

6

View this publication at Norwegian Research Information Repository