A semi-Lagrangian micro-macro method for viscoelastic flow calculations

Prieto Ortiz, Juan Luis; Bermejo Bermejo, Rodolfo y Laso Carbajo, Manuel (2010). A semi-Lagrangian micro-macro method for viscoelastic flow calculations. "Journal of Non-Newtonian Fluid Mechanics", v. 165 (n. 3-4); pp. 120-135. ISSN 0377-0257. https://doi.org/10.1016/j.jnnfm.2009.10.004.

Descripción

Título: A semi-Lagrangian micro-macro method for viscoelastic flow calculations
Autor/es:
  • Prieto Ortiz, Juan Luis
  • Bermejo Bermejo, Rodolfo
  • Laso Carbajo, Manuel
Tipo de Documento: Artículo
Título de Revista/Publicación: Journal of Non-Newtonian Fluid Mechanics
Fecha: Febrero 2010
Volumen: 165
Materias:
Palabras Clave Informales: Semi-Lagrangian scheme; Micro–macro; Characteristics; Finite element
Escuela: E.T.S.I. Industriales (UPM)
Departamento: Ingeniería Energética y Fluidomecánica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 7083
Identificador DC: http://oa.upm.es/7083/
Identificador OAI: oai:oa.upm.es:7083
Identificador DOI: 10.1016/j.jnnfm.2009.10.004
URL Oficial: http://www.elsevier.com
Depositado por: Memoria Investigacion
Depositado el: 25 May 2011 08:26
Ultima Modificación: 20 Abr 2016 16:12
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