Observatorio de I+D+i UPM

Descripción
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.
Internacional	Si
JCR del ISI	Si
Título de la revista	JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
ISSN	0377-0257
Factor de impacto JCR	2
Información de impacto
Volumen	165
DOI	doi:10.1016/j.jnnfm.2009.10.004
Número de revista
Desde la página	120
Hasta la página	135
Mes	FEBRERO
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• Autor: Juan Luis Prieto Ortiz (UPM)
• Autor: Rodolfo Bermejo Bermejo (UPM)
• Autor: Manuel Laso Carbajo (UPM)

• Creador: Grupo de Investigación: Mecánica de fluidos aplicada a la Ingeniería Industrial
• Departamento: Matemática Aplicada a la Ingeniería Industrial