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First, second and third order fractional step methods for the three-field viscoelastic flow problem

Author
Castillo, E.; Codina, R.
Type of activity
Journal article
Journal
Journal of computational physics
Date of publication
2015-09
Volume
296
First page
113
Last page
137
DOI
https://doi.org/10.1016/j.jcp.2015.04.027 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0021999115002831 Open in new window
Abstract
In this paper, three different fractional step methods are designed for the three-field viscoelastic flow problem, whose variables are velocity, pressure and elastic stress. The starting point of our methods is the same as for classical pressure segregation algorithms used in the Newtonian incompressible Navier-Stokes problem. These methods can be understood as an inexact LU block factorization of the original system matrix of the fully discrete problem and are designed at the pure algebraic lev...
Keywords
Finite-element approximation, Fractional step methods, High Weissenberg number, Incompressible flows, Log-conformation tensor, Navier-Stokes equations, Oldroyd-b fluid, Pressure segregation methods, Projection methods, Stabilized finite element methods, Transient schemes, Viscoelastic fluids, Volume method
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants