A FIC‐based stabilized mixed finite element method with equal order interpolation for solid–pore fluid interaction problems

Summary A new mixed displacement‐pressure element for solving solid–pore fluid interaction problems is presented. In the resulting coupled system of equations, the balance of momentum equation remains unaltered, while the mass balance equation for the pore fluid is stabilized with the inclusion of h...

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Bibliographic Details
Published in:International journal for numerical and analytical methods in geomechanics Vol. 41; no. 1; pp. 110 - 134
Main Authors: de‐Pouplana, Ignasi, Oñate, Eugenio
Format: Journal Article Publication
Language:English
Published: Bognor Regis Wiley Subscription Services, Inc 01.01.2017
Subjects:
Calculus
Computational fluid dynamics
coupled solid-pore fluid formulation
Displacement
finite calculus
finite element method
Fluid-structure interaction
Fluids
Física
Física de fluids
incompressible undrained limit
Interacció fluid-estructura
Interpolation
Mathematical analysis
Mathematical models
Models matemàtics
Momentum equation
Porosity
saturated soils
Àrees temàtiques de la UPC
ISSN:0363-9061, 1096-9853
Online Access:Get full text
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Summary:Summary A new mixed displacement‐pressure element for solving solid–pore fluid interaction problems is presented. In the resulting coupled system of equations, the balance of momentum equation remains unaltered, while the mass balance equation for the pore fluid is stabilized with the inclusion of higher‐order terms multiplied by arbitrary dimensions in space, following the finite calculus (FIC) procedure. The stabilized FIC‐FEM formulation can be applied to any kind of interpolation for the displacements and the pressure, but in this work, we have used linear elements of equal order interpolation for both set of unknowns. Examples in 2D and 3D are presented to illustrate the accuracy of the stabilized formulation for solid–pore fluid interaction problems. Copyright © 2016 John Wiley & Sons, Ltd.
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ISSN:0363-9061
1096-9853
DOI:10.1002/nag.2550