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

Autor
Castillo, E.; Codina, R.
Tipus d'activitat
Article en revista
Revista
Journal of computational physics
Data de publicació
2015-09
Volum
296
Pàgina inicial
113
Pàgina final
137
DOI
https://doi.org/10.1016/j.jcp.2015.04.027 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0021999115002831 Obrir en finestra nova
Resum
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...
Paraules clau
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
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

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