Flow of viscoelastic fluids past a cylinder at high Weissenberg number : stabilized simulations using matrix logarithms

By M. Hulsen, Raanan Fattal, Raz Kupferman. 2005

432 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Computational Mechanics, Fluid Flow and Transfer Processes

View Paper: https://www.semanticscholar.org/paper/acbe084e21f93c99bdffa112ece341927e8689f6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. M. Hulsen
2. Gaetano D'Avino
3. Manuel A. Alves
4. Fernando Pinho
5. Paulo J. Oliveira
6. Raanan Fattal
7. Raz Kupferman
8. W. Saarloos

In Computational Mechanics

1. Manuel A. Alves
2. Fernando Pinho
3. Paulo J. Oliveira
4. M. Hulsen
5. Gaetano D'Avino
6. Raanan Fattal
7. Raz Kupferman
8. Mehmet Sahin

In Fluid Flow and Transfer Processes

1. Fernando Pinho
2. Paulo J. Oliveira
3. Manuel A. Alves
4. M. Hulsen
5. Mehmet Sahin
6. Helen J. Wilson
7. Gaetano D'Avino
8. Raanan Fattal

Citations in the corpus

• Numerical Methods for Viscoelastic Fluid Flows (2021, methodology): “59 (e.g.,Fan et al.1999,Alves et al. 2001, Owens et al. 2002, Hulsen et al. 2005, Coronado et al. 2007, Afonso et al. 2009, Damanik et al. 2010, Claus & Phillips 2013, Knechtges et al. 2014, Carrozza et al. 2019).”
• The log-conformation tensor approach in the finite-volume method framework (2009, neutral): “Hulsen et al. [ 13 ] were the first to implement the logconformation methodology within the FEM framework and applied it to the benchmark flow of Oldroyd-B and Giesekus fluids past a confined cylinder.”
• An introductory essay on subcritical instabilities and the transition to turbulence in visco-elastic parallel shear flows (2007, background): “One way around this, proposed recently [13,14], is to simulate what amounts to the logarithm of the polymer stress tensor, whose growth is only linear in time in these regions.”
• Decoupled second-order transient schemes for the flow of viscoelastic fluids without a viscous solvent contribution (2010, methodology): “As a final remark, we note that in order to keep the equations simple, the log-conformation transformation [7, 29] has not been applied.”
• Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation (2005, methodology): “The lcr approach is also easily implemented within the fem framework [9], particle tracking methods, and various hybrid methods (e.”
• A semi-staggered dilation-free finite volume method for the numerical solution of viscoelastic fluid flows on all-hexahedral elements (2007, background): “[14] seems to remove the convergence problem, the authors reported that they could not find any sign of convergence for stress in the wake beyond some rather small Weissenberg number (order 1).”