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

Prieto Ortiz, Juan Luis and Bermejo Bermejo, Rodolfo and 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.

Description

Title: A semi-Lagrangian micro-macro method for viscoelastic flow calculations
Author/s:
  • Prieto Ortiz, Juan Luis
  • Bermejo Bermejo, Rodolfo
  • Laso Carbajo, Manuel
Item Type: Article
Título de Revista/Publicación: Journal of Non-Newtonian Fluid Mechanics
Date: February 2010
ISSN: 0377-0257
Volume: 165
Subjects:
Freetext Keywords: Semi-Lagrangian scheme; Micro–macro; Characteristics; Finite element
Faculty: E.T.S.I. Industriales (UPM)
Department: Ingeniería Energética y Fluidomecánica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (776kB) | Preview

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.

More information

Item ID: 7083
DC Identifier: http://oa.upm.es/7083/
OAI Identifier: oai:oa.upm.es:7083
DOI: 10.1016/j.jnnfm.2009.10.004
Official URL: http://www.elsevier.com
Deposited by: Memoria Investigacion
Deposited on: 25 May 2011 08:26
Last Modified: 20 Apr 2016 16:12
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM