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2019 | OriginalPaper | Chapter

An Oscillation-Free Finite Volume Method for Poroelasticity

Authors : Massimiliano Ferronato, Herminio T. Honorio, Carlo Janna, Clovis R. Maliska

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2017

Publisher: Springer International Publishing

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Abstract

Biot’s equations of poroelasticity are numerically solved by an Element-based Finite Volume Method (EbFVM). A stabilization technique is advanced to avoid spurious pressure modes in the vicinity of undrained conditions. Classical benchmark problems and more realistic 3D test cases are addressed. The results show that the proposed stabilization is able to eliminate the pressure instabilities preserving the solution accuracy.

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previous chapter Maximum Angle Condition for n-Dimensional Simplicial Elements
next chapter Numerical Investigation on the Fixed-Stress Splitting Scheme for Biot’s Equations: Optimality of the Tuning Parameter
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Metadata
Title
An Oscillation-Free Finite Volume Method for Poroelasticity
Authors
Massimiliano Ferronato
Herminio T. Honorio
Carlo Janna
Clovis R. Maliska
Copyright Year
2019
Book
Numerical Mathematics and Advanced Applications ENUMATH 2017

Print ISBN: 978-3-319-96414-0

Electronic ISBN: 978-3-319-96415-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-96415-7_73

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