An arbitrary Lagrangian–Eulerian finite element formulation for a poroelasticity problem stemming from mixture theory

Costanzo, Francesco; Miller, Scott T.

doi:10.1016/j.cma.2017.05.006

An arbitrary Lagrangian–Eulerian finite element formulation for a poroelasticity problem stemming from mixture theory

Journal Article · Mon May 22 00:00:00 EDT 2017 · Computer Methods in Applied Mechanics and Engineering

DOI:https://doi.org/10.1016/j.cma.2017.05.006· OSTI ID:1429778

Costanzo, Francesco ^[1]; Miller, Scott T. ^[2]

Pennsylvania State Univ., University Park, PA (United States). Center for Neural Engineering
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Computational Simulation Group

In this paper, a finite element formulation is developed for a poroelastic medium consisting of an incompressible hyperelastic skeleton saturated by an incompressible fluid. The governing equations stem from mixture theory and the application is motivated by the study of interstitial fluid flow in brain tissue. The formulation is based on the adoption of an arbitrary Lagrangian–Eulerian (ALE) perspective. We focus on a flow regime in which inertia forces are negligible. Finally, the stability and convergence of the formulation is discussed, and numerical results demonstrate agreement with the theory.

View Accepted Manuscript (DOE)

Research Organization:: Pennsylvania State Univ., University Park, PA (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: National Science Foundation (NSF) (United States); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1429778

Alternate ID(s):: OSTI ID: 1550052

Report Number(s):: SAND2017--4971J; 653205

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Vol. 323; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (3)

Functional hyperemia drives fluid exchange in the paravascular space Kedarasetti, Ravi Teja; Turner, Kevin L.; Echagarruga, Christina https://doi.org/10.1101/838813	posted_content	November 2019
Functional hyperemia drives fluid exchange in the paravascular space Kedarasetti, Ravi; Turner, Kevin L.; Echagarruga, Christina https://doi.org/10.21203/rs.3.rs-22610/v1	preprint	August 2020
Functional hyperemia drives fluid exchange in the paravascular space Kedarasetti, Ravi; Turner, Kevin L.; Echagarruga, Christina https://doi.org/10.21203/rs.3.rs-22610/v3	preprint	August 2020

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97 MATHEMATICS AND COMPUTING
ALE formulation
finite element method
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An arbitrary Lagrangian–Eulerian finite element formulation for a poroelasticity problem stemming from mixture theory

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