Nonconforming finite element approximation of the Giesekus model for polymer flows

DOI10.1016/j.compfluid.2011.01.036zbMath1431.76007OpenAlexW2092961642MaRDI QIDQ536690

D. Graebling, Roland Becker, Daniela Capatina, Julie Joie

Publication date: 19 May 2011

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2011.01.036

zbMATH Keywords

high Weissenberg numbernonconforming finite elementsGiesekus modelpolymer liquids

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Proceedings, conferences, collections, etc. pertaining to fluid mechanics (76-06) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Numerical simulation of polymer flows using non-conforming finite elements

Cites Work

• Unnamed Item
• A monolithic FEM approach for the log-conformation reformulation (LCR) of viscoelastic flow problems
• Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms
• A Lagrangian-Eulerian approach for the numerical simulation of free-surface flow of a viscoelastic material
• A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility
• A locally-upwinded spectral technique (LUST) for viscoelastic flows.
• New formulations, positivity preserving discretizations and stability analysis for non-Newtonian flow models
• Finite Element Discretization of the Giesekus Model for Polymer Flows
• Finite Element Collocation Methods for First Order Systems
• Simple nonconforming quadrilateral Stokes element
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Korn's inequalities for piecewise $H^1$ vector fields
• An observation on Korn’s inequality for nonconforming finite element methods