A Numerical Method for the Transient Couette Flow of a Distributed-Order Viscoelastic Fluid

Luís Lima Ferrás, Maria Luísa Morgado, Magda Rebelo

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This work presents a numerical method for the solution of two coupled distributed-order fractional differential equations, that appear in the pure tangential flow of fluids modelled by the Distributed-Order Viscoelastic Model. We prove the solvability of the method, and, perform numerical simulations of relaxation tests.

Original languageEnglish
Title of host publicationComputational Science and Its Applications – ICCSA 2021 - 21st International Conference, Proceedings
EditorsOsvaldo Gervasi, Beniamino Murgante, Sanjay Misra, Chiara Garau, Ivan Blečić, David Taniar, Bernady O. Apduhan, Ana Maria Rocha, Eufemia Tarantino, Carmelo Maria Torre
Place of PublicationCham
PublisherSpringer
Pages411-421
Number of pages11
ISBN (Electronic)978-3-030-86973-1
ISBN (Print)978-3-030-86972-4
DOIs
Publication statusPublished - 2021
Event21st International Conference on Computational Science and Its Applications, ICCSA 2021 - Virtual, Online
Duration: 13 Sep 202116 Sep 2021

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer
Volume12952 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference21st International Conference on Computational Science and Its Applications, ICCSA 2021
CityVirtual, Online
Period13/09/2116/09/21

Keywords

  • Distributed-order fractional derivatives
  • Finite differences
  • Numerical methods
  • Viscoelasticity

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