Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
A semi-Lagrangian micro-macro method for viscoelastic flow calculations
Year:2010
Research Areas
  • Mechanical aeronautics and naval engineering
Information
Abstract
We present in this paper a semi-Lagrangian algorithm to calculate the viscoelastic flow in which a dilute polymer solution is modeled by the FENE dumbbell kinetic model. In this algorithm the material derivative operator of the Navier¿Stokes equations (the macroscopic flow equations) is discretized in time by a semi-Lagrangian formulation of the second order backward difference formula (BDF2). This discretization leads to solving each time step a linear generalized Stokes problem. For the stochastic differential equations of the microscopic scale model, we use the second order predictor-corrector scheme proposed in [22] applied along the forward trajectories of the center of mass of the dumbbells. Important features of the algorithm are (1) the new semi-Lagrangian projection scheme; (2) the scheme to move and locate both the mesh-points and the dumbbells; and (3) the calculation and space discretization of the polymer stress. The algorithm has been tested on the 2d 10:1 contraction benchmark problem and has proved to be accurate and stable, being able to deal with flows at high Weissenberg (Wi) numbers; specifically, by adjusting the size of the time step we obtain solutions at Wi=444.
International
Si
JCR
Si
Title
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
ISBN
0377-0257
Impact factor JCR
2
Impact info
Volume
165
doi:10.1016/j.jnnfm.2009.10.004
Journal number
From page
120
To page
135
Month
FEBRERO
Ranking
Participants
  • Autor: Juan Luis Prieto Ortiz (UPM)
  • Autor: Rodolfo Bermejo Bermejo (UPM)
  • Autor: Manuel Laso Carbajo (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Mecánica de fluidos aplicada a la Ingeniería Industrial
  • Departamento: Matemática Aplicada a la Ingeniería Industrial
S2i 2019 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)