Numerical Approximation of Viscoelastic Flows in an Elastic Medium

Numerical Approximation of Viscoelastic Flows in an Elastic Medium

Year:    2015

International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 1 : pp. 125–143

Abstract

We study the numerical approximation of a flow problem governed by a viscoelastic model coupled with a one-dimensional elastic structure equation. A variational formulation for flow equations is developed based on the Arbitrary Lagrangian-Eulerian (ALE) method and stability of the time discretized system is investigated. For decoupled numerical algorithms we consider both an explicit scheme of the Leap-Frog type and a fully implicit scheme.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2015-IJNAM-481

International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 1 : pp. 125–143

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    viscoelastic flow elastic structure finite elements.