A stable numerical implementation of integral viscoelastic models in the OpenFOAM (R) computational library

• Type: Article in International Scientific Journal
• Date: 2018

Authors

Araujo, MSB (Author) Other; Fernandes, C (Author) Other; Ferras, LL (Author) FEUP; Tukovic, Z (Author) Other; Jasak, H (Author) Other; Nobrega, JM (Author) Other

Journal

Title: Computers and Fluids

Vol. 172

Pages: 728-740

ISSN: 0045-7930

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 7 Citations

Other information

Authenticus ID: P-00P-JPG

DOI: 10.1016/j.compfluid.2018.01.004

Abstract (EN): This work presents the implementation and verification of a new solver in the OpenFOAN (R) open source computational library. The new solver allows the numerical solution of the integral viscoelastic constitutive equations, and their coupling with the continuity and momentum equations. This solver is also more stable when compared to the previous implementation of the group, which was accomplished through the addition of diffusive terms to both sides of the momentum equation, that are discretized using different schemes. The calculation of the Finger tensor follows the ideas presented in the method of deformation fields Peters et al. (2000) together with the modifications proposed by Tome et al. (2008). We also propose a new approach to optimize the number and distribution of discretization points to be used in the time integration of the constitutive model, and the results obtained are discussed in the light of the recent work by Bollada and Phillips (2009). The solver is verified with three case studies: the steady Poiseuille and transient Couette flows, for a UCM fluid, and the steady 4:1 contraction flow, both for the UCM and K-BKZ fluids.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13